Alice and bob codeforces. Determine the maximum score of Alice and Bob respectively.

Alice and bob codeforces Alice and Bob got very bored during a long car trip so they decided to play a game. The game ends if all the candies are eaten. 2) 0doO → Codeforces Round 939 (Div. First Alice chooses to play as either "increasing" or "decreasing" for herself, and Bob gets the other choice. They can perform two type of operations. there is no way to distinguish two gifts of the same kind). First, they choose two different vertices as their starting positions (Alice chooses first) and take all the chocolates contained in them. Dec 11, 2024 · Codeforces. If the chosen value is even, then Bob's score does not change. In the best outcome, Alice will win one round if she shows paper and then scissors, and Bob shows rock and then scissors. In the example two paragraphs above, we would choose $$$7$$$ yellow, $$$8$$$ blue and $$$9$$$ red ornaments. Each vertex may contain an arbitrary number of chips. The game rules are like this. Bob can not do any operation. Hence, Alice wins. In the first test case, Alice should buy the $$$2$$$-nd item and sell it to Bob, so her profit is $$$2 - 1 = 1$$$. By Shayan. In the second example, Alice will not win any rounds if Bob shows the same things as Alice each round. In this problem can anybody please explain optimal strategy of Alice and Bob with poof? Let's consider the following game of Alice and Bob on a directed acyclic graph. In the fourth test case, Alice always selects two even numbers, so the sum of her selected numbers is always even. Alice and Bob make alternating moves with Alice going first. In the second test case, Alice can only move to lilypad $$$2$$$. —No problem! — said Bob and immediately gave her an answer. In the first test case, Alice and Bob can each take one candy, then both will have a total weight of $$$1$$$. The first line contains two integers, a and b, separated by spaces, where a is the number of points Alice wins in one game and b is the number of points Bob wins in one game. The game ends when Alice goes to the same vertex where Bob is standing. None of those four cells can be colored before, and they all must be inside the grid. Programming competitions and contests, programming community Assuming that both Alice and Bob play optimally, calculate the resulting score of the Jun 19, 2021 · Alice will pick any remaining connected components if there are any; The game ends in three steps. Alice moves first, then Bob, then Alice again, and so on. That is, Alice's color choices can depend on Bob's previous moves. Help Bob catch Alice cheating — find Bob's first move, such that after it you can be sure that Alice cheated. Соревнования и олимпиады по информатике и программированию, сообщество You signed in with another tab or window. They play the game in turns. Input. Bob will then multiply $$$5, 5, 3$$$ by $$$-1$$$. In the first test case, Alice can win by Alice will get all the pieces marked A and Bob will get all the pieces marked B. Programming competitions and contests, programming community. In the fifth test case, it is optimal for Alice to remove $$$9, 9$$$. Please write a program to help Alice rent sets optimally such that Alice can always win the game on each day, and Bob will pay as much as possible. In the second testcase, Alice can place or between the middle true and the left false. On her turn, Alice cut $$$2$$$ rows from the bottom and scored $$$2$$$ points, then Bob cut $$$1$$$ column from the right and scored one point. Alice starts to eat chocolate bars one by one from left to right, and Bob — from right to left. In one move one can either stay at the current vertex or travel to the neighbouring one. In the first sample, if Bob puts the token on the number (not position): $$$1$$$: Alice can move to any number. The number of presents of each kind, that Alice has is very big, so we can consider Alice has an infinite number of gifts of each kind. Then, Bob has no legal moves. Sep 4, 2023 · Codeforces. The game ends when there is only one digit left. The total score will be equal to $$$10 - 6 = 4$$$, and it's the minimum possible. in the $$$1$$$-st move Alice has to perform the $$$1$$$-st operation, since the string is currently a palindrome. $$$^\dagger$$$ The $$$\operatorname{MEX}$$$ (minimum excludant) of an array of integers is defined as the smallest non-negative integer which does not occur in the array. → Pay attention Then, Bob's score will be $$$1$$$, and Alice's score will be $$$0$$$. In the third test case, Alice can only move to lilypad $$$1$$$. Alice and Books. In each operation, the player chooses a facing-up coin, removes the coin, and flips the two coins that are adjacent to it. Alice said a random number, so she doesn't know whether Bob's answer is correct. Presents of one kind are identical (i. Alice wants to minimize the total number of moves and Bob wants to maximize it. Fortune telling is performed as You signed in with another tab or window. Alice beats Bob Tomorrow, Alice will take $$$10$$$ and Bob will take $$$6$$$. First, output the integer $$$\alpha$$$ — the maximum possible size of Alice's plot, if Bob does not give her any fountain (i. Output You should return the smallest possible number of points that Alice and Bob have, which should be an integer c . Bob picked the number $$$1$$$. In the second example Alice wins both game "bdb" and "aaccbdb ". Alice's mood becomes $$$4$$$. Alice spends $$$2$$$ dollars while Bob spends $$$0 Saved searches Use saved searches to filter your results more quickly Codeforces. Bob moves four presents from node 5 to node 2. For example, suppose there are $$$5$$$ marbles, their colors are $$$[1, 3, 1, 3, 4]$$$, and the game goes as follows: Alice takes the $$$1$$$-st marble, then Bob takes the $$$3$$$-rd marble, then Alice takes the $$$5$$$-th marble, then Bob takes the $$$2$$$-nd marble, and finally, Alice takes the $$$4$$$-th marble. From the window they can see cars of different colors running past them. If one of the players is unable to make a move, he or she loses. During a move, the player eats one or more sweets from her/his side (Alice eats from the left, Bob — from the right). Bob removes the only card, so the score is $$$0$$$. com Codeforces. Codeforces. Bob plays against Alice, so he tries to make her lose the game, if it's possible. Alice will eat candy from left to right, and Bob — from right to left. In the first test case, an example of the game is shown below: Alice chooses to not swap wallets with Bob in step 1 of her move. Note that on the first turn, she can choose any cake. After Alice's operation, $$$a=[0,1]$$$ and $$$mx=2$$$. In the city in which Alice and Bob live, the first metro line is being built. Bob wants to prevent that. Ideally, a and b should also be unique arrays. → Pay attention Both Alice and Bob has mood $$$2$$$. Therefore, Bob always wins. Alice wants to minimize the score. If we do it, we will use $$$7+8+9=24$$$ ornaments. Determine the maximum score of Alice and Bob respectively. On a player's turn, they must choose exactly $$$\frac{n}{2}$$$ nonempty piles and independently remove a positive number of stones from each of the chosen piles. Alice also discovers this fact, so she wants to make Bob pay as many dollars as possible. If there are no numbers left in the array, then the game ends. However, you don't know the exact rooms they are in. pepcoding. Then she places a token on any node of the graph. All characters of the string are ' 1 ', game over. In one turn player can move exactly one chip along any edge outgoing from the vertex that contains this chip to the end of this edge. Given Alice's initial split into two teams, help Bob determine an optimal strategy. By ayush29azad, history, 3 years ago, Contest [Alice and Bob] in Virtual Judge Codeforces. In the third hand, Alice plays rock and Bob plays scissors, so Alice beats Bob. In the third test case: Alice changes the first letter to ' b ', and then Bob changes the second letter to ' y '. It is necessary to solve the questions while watching videos, nados. Alice ran out of stamina, so she can't During each move, the player (either Alice or Bob) must choose two subsequent numbers and divide each of them by they greatest common factor other than $$$1$$$. On a player’s turn, they can either arbitrarily permute the characters in the words, or delete exactly one character in the word (if there is at least one character). In the second test case: Alice changes the first letter to ' a ', then Bob changes the second letter to ' z ', Alice changes the third letter to ' a ' and then Bob changes the fourth letter to ' z '. They have now figured out how to escape from Plagiarism. Alice chooses two colors: $$$3$$$ and $$$1$$$. Alice and Bob are playing a game with a string of characters, with Alice going first. com/1OtIDb Codeforces. Alice wants to maximize the score while Bob wants to minimize it. Both of them want to maximize their score by collecting maximum possible sweetness. In the first test case, Alice can win by Now, the pile sizes are $$$5$$$ and $$$3$$$. Before stream 04:39:33 Alice wants to maximize her score while Bob wants to minimize it. cpp at main · Seraj-Omar/Codeforces-Solution In the second example, Alice can first choose color $$$1$$$, then Bob will choose color $$$4$$$, after which Alice will choose color $$$2$$$, and Bob will choose color $$$3$$$. Alice spends $$$0$$$ dollars while Bob spends $$$1$$$ dollar. Assume both plays the game Alice and Bob will play a game alternating turns with Alice going first. Bob deletes one of this strings and the Alice deletes the other one and Bob Mar 14, 2022 · Problem: https://codeforces. For each chocololate bar the time, needed for the player to consume it, is known (Alice and Bob eat them with equal speed). Alice goes first. Then Alice put the range $$$[2, 2]$$$ back to the set. Alice always wins in this case. In the second example Alice chooses a segment $$$[1;4]$$$, so that Bob removes either card $$$1$$$ or $$$3$$$ with the value $$$5$$$, making the answer $$$5 + 2 + 3 = 10$$$. Bob's mood becomes $$$0$$$. Alice and Bob like games. They now take turns playing the following game, with Alice going first. Bob's mood becomes $$$4$$$. However, life in the Oct 5, 2021 · vovuh → Codeforces Round #598 Alice and Bob . In the first testcase, Alice can place and between the two booleans. → Pay attention solutions for The Codeforces problems that i have solved - Codeforces-Solution/1978A. During each move, either Alice or Bob (the player whose turn is the current) In one move, Alice can choose a $$$2 \times 2$$$ empty square and paint all four cells red. Alice chooses two colors: $$$2$$$ and $$$1$$$. Then Alice put the range $$$[2, 3]$$$ back to the set, which after this turn is the only range in the set. If Alice chooses even value, then she adds it to her score. One possible gameplay between Alice and Bob is: Alice moves one present from node 4 to node 3. Bob chooses vertex $$$4$$$ and colors it with color $$$1$$$. Then, Bob can move to lilypad $$$2$$$. Home; Top; Catalog Alice and Bob came up with a rather strange game Alice and Bob play an interesting and tasty game: they eat candy. com for a richer experience. He also performs the moves to reach $$$(2, m)$$$ and collects the coins in all cells that he visited, but Alice didn't. Alice wins if the permutation is sorted in increasing order at the beginning or end of her turn. Bob moves three presents from node 2 to node 1. If the $$$k$$$-th stage ends and Alice hasn't lost yet, she wins. In current match they have made some turns and now it's Alice's turn. In the kitchen they found a large bag of oranges and apples. e. Programming competitions and contests, programming community Assuming both Alice and Bob are clever enough and will adopt the best strategy to win or . , all fountains will remain on Bob's plot). As Alice is distracted by her sense of superiority, she no longer moves any pieces around, and it is only Bob who makes any turns. Alice picked the range $$$[2, 2]$$$. Examples. On her turn, Alice must swap any two digits of the integer that are on different positions. You signed out in another tab or window. The player with the highest score Alice and Bob are playing a game with this integer. They have a playing field of size 10 × 10. this problem can be solved using deque easily. If Bob eats from the left pile, his only choice is to eat $$$4$$$ cookies from it; then, Alice eats $$$2$$$ cookies from the right pile. Codeforces CodeTON Round 9 (Div 1 + Div 2) — Solution Discussion Codeforces. If the chosen value is odd, Alice's score does not change. They are not trying to minimize each other' score. So the score will be equal to $$$(15 + 10) - 12 = 13$$$, since Alice will take $$$15$$$, Bob will take $$$12$$$, and Alice — $$$10$$$. After each car they update the number of cars of In the first test case, there are $$$2$$$ piles of stones with $$$2$$$ and $$$1$$$ stones respectively. The process consists of moves. During each move, either Alice or Bob (the player whose turn is the current) can choose two distinct integers x and y from the set, such that the set doesn't contain their absolute difference |x - y|. If (before the operation) there are only two coins left, then one will be removed and the other won't be flipped (as it would be flipped twice). They have placed n chocolate bars in a line. Alice wants to divide the field in such a way as to get as many cells as possible. The string consists n characters, each of which is one of the first k letters of the alphabet. Codeforces Round 971 (Div 4) - Solution Discussion. com/contest/6/problem/CCode: https://ideone. → Pay attention Alice wants to choose as many ornaments as possible, but she also wants the Christmas Tree to be beautiful according to Bob's opinion. Bob wins if he can make the game go on for an infinite number of moves (which means that Alice is never able to get a sorted permutation). Reload to refresh your session. Alice moves four presents from node 2 to node 1. In turns they put either crosses or noughts, one at a time. in the $$$3$$$-rd move Alice again has to perform the $$$1$$$-st Alice is in some room from the segment $$$[l, r]$$$; Bob is in some room from the segment $$$[L, R]$$$; Alice and Bob are in different rooms. This When Alice finishes, Bob starts his journey. This process will repeat for $$$999$$$ times until finally, after Alice moves the rook, Bob cannot move it back to $$$(1, 1)$$$ because it has been visited $$$1000$$$ times before. Alice and Bob take turns eating them, with Alice starting first: In her turn, Alice chooses and eats any remaining cake whose tastiness is strictly greater than the maximum tastiness of any of the cakes she's eaten before that. Presents of different kinds are different (i. below is the code::: _____ Bob gets to know which number Alice picked before deciding whether to add or subtract the number from the score, and Alice gets to know whether Bob added or subtracted the number for the previous turn before picking the number for the current turn (except on the first turn since there was no previous turn). Find Alice's final score if both players play optimally. Alice and Bob are too smart so called coders. Your task is to determine the maximum value of $$$k$$$ such that Alice can win if both players play optimally. 2) gareeeeeeeeeeeeeeeev → Телеграмм бот для слежки за статистикой аккаунта CodeForces Codeforces. Therefore, Alice has a winning strategy in this case. Alice When it was Alice's turn, she told the number n to Bob and said: —Shuffle the digits in this number in order to obtain the smallest possible number without leading zeroes. In the second example, Alice can first choose color $$$1$$$, then Bob will choose color $$$4$$$, after which Alice will choose color $$$2$$$, and Bob will choose color $$$3$$$. Alice doesn't have any stamina left, so she can't return the ball and loses the play. that is, two gifts of different kinds are distinguishable). In the first test case, Alice can choose $$$i=1$$$ since $$$a_1=2 \ge mx=0$$$. In the second query of the first test, Alice will complete game $$$4$$$ in $$$5$$$ seconds, then Bob will start it and complete it $$$9$$$ seconds later. They put multiple cards and on each one they wrote a letter, either ' A ', or the letter ' B '. You can output each letter in any case (lowercase or uppercase). The array will be given in compressed format. Educational Codeforces Round 90 (Rated for Div. Then she can tell $$$2$$$ jokes of the third type. To make the process of sharing the remaining fruit more fun, the friends decided to play a game. Bob picked the number $$$3$$$. The strength of a player is then the sum of strengths of the pieces in the group. Note that if Bob had cut $$$1$$$ row from the bottom, he would have also scored $$$1$$$ point. Then another $$$4$$$ jokes of the third type. 2) 21:14:32 Register now Alice and Bob . There are a i chocolates waiting to be picked up in the i -th vertex of the tree. Then $$$4$$$ jokes of the second type. In the third example Alice can choose any of the segments of length $$$1$$$: $$$[1;1]$$$, $$$[2;2]$$$ or $$$[3;3]$$$. Bob returns the ball and spends $$$1$$$ stamina. In the third example, Alice always shows paper and Bob always shows rock so Alice will win all three rounds anyway. → Pay attention Codeforces Round 984 (Div 3) - Solution Discussion. Since neither $$$1$$$ nor $$$2$$$ can be split into two prime numbers, Alice cannot make a move, so Bob wins. Programming competitions and contests, programming community Your friends Alice and Bob practice fortune telling. The game ends as there are no other places to place operators, and Alice wins because true and true is true. Alice puts crosses and Bob puts noughts. So the final sum of elements of the array is $$$3+1+2-4=2$$$. Alice and Bob Plays the Break the Node . In the first test case, Alice moves the rook to $$$(2, 1)$$$ and Bob moves the rook to $$$(1, 1)$$$. Bob will then multiply $$$4$$$ by $$$-1$$$. Alice and Bob will read each book together to end this exercise faster. Tomorrow, Alice will take $$$10$$$ and Bob will take $$$6$$$. However, the number of sets in the store may be extremely large. Please consume this content on nados. In Bob's move, he can paint one empty cell blue. Programming competitions and contests, programming community . Before stream 35:51:38 Alice wants to sort the permutation in increasing order. Cars are going one after another. Programming competitions and contests, programming community Both Alice and Bob started at moment $$$0$$$ at point $$$0$$$ with positive real speeds In the second hand, Alice plays scissors and Bob plays paper, so Alice beats Bob. Alice's mood becomes $$$0$$$. During each move, either Alice or Bob (the player whose turn is the current) can choose two distinct integers x and y from the set, such that the set doesn't contain their absolute difference |x - y|. Bob wants to keep ownership of all the fountains, but he can give one of them to Alice. For each test case, output "Alice" if Alice wins, "Bob" if Bob wins, and "Draw" if neither player can secure a victory. Alice picked the range $$$[2, 3]$$$. Programming competitions and contests, programming community no matter how Alice paints the ribbon, Bob will always be able to repaint $$$2$$$ parts You signed in with another tab or window. In the third test case, Alice serves the ball and spends $$$1$$$ stamina. Alice is no longer able to move and loses, giving Codeforces. Then, Bob's score will be $$$2$$$, and Alice's score will be $$$1$$$. It can be shown that this is the optimal game. Therefore, Alice always wins. Since you are good friends with Alice and Bob, you decide to split the array in two. On their turn, a player must move from the current vertex to a neighboring vertex that has not yet been visited by anyone. In his turn, Bob chooses any remaining cake and eats it. Similarly, if Bob chooses odd value, then he adds it to his score. Both players play Alice will pick any remaining connected components if there are any; The game ends in three steps. Enter | Register. Then this player adds integer |x - y| to the set (so, the size of the set increases by one). Mayank is struggling with with Plagiarism on codeforces now he wants to figure it out if his two friends Alice and Bob have applied the rule to avoid Plagiarism. 1 5 Output. Therefore, Alice loses on the first turn. Alice and Bob decided to eat some fruit. Alice Bob Alice Alice Bob Alice Alice Note. 0doO → [Editorial] Codeforces Round 939 (Div. Note that both Alice's move and Bob's move are two parts of the same stage of the game Codeforces. Programming competitions and contests, programming community If Alice won, print "Alice", otherwise, print "Bob". Interaction. 0 platform Alice and Bob are playing a game on this graph. In the second testcase, the only sequence of hands that Alice can play is "RRR". Assume both plays the game optimally. If there is no available $$$2 \times 2$$$ square, Alice must pass and Bob will keep making moves. Before contest 2024-2025 ICPC, NERC, Northern Eurasia Finals (Unrated, Online Mirror, ICPC Rules, Teams Preferred) 47:09:48 Register now » Alice wants to maximize the score while Bob wants to minimize it. Alice starts first. Bob chooses vertex $$$2$$$ and colors it with color $$$1$$$. The only programming contests Web 2. Bob then moves the token along any edge incident to that node. in the $$$2$$$-nd move Bob reverses the string. In his/her turn, the Codeforces. And now they are ready to start a new game. The moves are made in turns, Bob goes first. Bob wants to maximize the score. To win game "bdb" Alice can erase symbol ' d ', the game then goes independently on strings "b" and "b". The score of the game is the total number of coins Bob collects. Codeforces Round 957 (Div 3) - Official Solution Discussion (with Shayan) By Shayan. Before stream 11:26:27 Codeforces. In the second test case, Bob can't change costs. Revision en1, by ayush29azad, 2021-10-05 17:36:29 Can someone help me in solving this game theory problem? I am Before contest Codeforces Round 996 (Div. You signed in with another tab or window. Bob can place and between the middle true and the right false. Programming competitions and contests, programming community Determine the maximum score of Alice and Bob respectively. Bob chooses vertex $$$3$$$ and colors it with color $$$3$$$. She wonders if she can put cross in such empty cell that she wins immediately. Alice immediately took an orange for herself, Bob took an apple. Remember that a king can move to any of the $$$8$$$ adjacent squares. Alice and Bob have a tree (undirected acyclic connected graph). In the second test case, it is optimal for Alice to not remove any elements. Соревнования и олимпиады по информатике и программированию, сообщество Contest [Alice, Bob and Chocolate] in Virtual Judge Virtual contest is a way to take part in past contest, as close as possible to participation on time. During their move, First observation: the values of the stones by themselves doesnt matter, what matters is their value mod 3. Both of them ran out of stamina, so the game is over with $$$1$$$ Alice's and $$$1$$$ Bob's win. Bob on his turn always removes the last digit of the integer. Alice and Bob take turns to play the following game, and Alice goes first. One of the possible games Alice and Bob can play in the first testcase: No matter what character Alice will delete, Bob deletes the other one and Alice is unable to move. Each player starts at some vertex. In particular, what matters is the ammount of each stone on each mod value. Home; Top; Catalog Alice and Bob are playing a game with strings Tomorrow, Alice will take $$$10$$$ and Bob will take $$$6$$$. You switched accounts on another tab or window. You don't want Alice and Bob to be able to reach each other, so you are going to lock some doors to prevent that. Alice is in some room from the segment $$$[l, r]$$$; Bob is in some room from the segment $$$[L, R]$$$; Alice and Bob are in different rooms. In the second test case of example, in the $$$1$$$-st move Alice has to perform the $$$1$$$-st operation, since the string is currently a palindrome. Precisely, you need to construct two arrays a and b that are also of length n, with the following conditions for all i (1 ≤ i ≤ n): a i, b i are non-negative integers; s i = a i + b i. Find game's final score if both players play optimally. Alice starts at vertex 1 and Bob starts at vertex x (x ≠ 1). Return the maximum strength he can achieve. Input The first line of the input contains three integers: n , k and a ( 1 ≤ n , k , a ≤ 2·10 5 ) — the size of the field, the number of the ships and the size of each ship. That is the maximum number. It is supported only ICPC mode for virtual contests. Alice and Bob play 5-in-a-row game. Alice moves three presents from node 3 to node 1. Alice and Bob take turns, with Alice going first. Bob will win if he can move his king from $$$(b_x, b_y)$$$ to $$$(c_x, c_y)$$$ without ever getting in check. In the first test case, the game ends immediately because Alice cannot make a move. Bob wins because there are no edges with vertices of the same color. 2) Finished: → Virtual participation Alice and Bob make alternating moves: Alice makes the first move, Bob makes Codeforces. Alice and Bob make turns alternating. Revision en1, by NaveeN_42, 2023-09-04 01:29:14 Codeforces. In the third test case, Bob has a winning strategy that he always selects a number with the same parity as Alice selects in her last turn. Feb 9, 2010 · Codeforces. Alice cannot make a move, so she wins; if Bob chooses three integers equal to $$$1$$$, wipes them and writes $$$3$$$, the board becomes $$$\{1,2,3\}$$$. Jan 7, 2020 · Codeforces. Alice cannot make a move, so she wins; if Bob chooses two integers equal to $$$1$$$, wipes them and writes $$$2$$$, the board becomes $$$\{1, 1, 2, 2\}$$$. in the $$$3$$$-rd move Alice again has to perform the $$$1$$$-st operation. Alice picked the range $$$[1, 3]$$$. Alice beat Bob 3 times, and $$$3 \ge \lceil \frac{3}{2} \rceil = 2$$$, so Alice wins. If Bob eats from the right pile, his only choice is to eat $$$2$$$ cookies it; then, Alice eats $$$4$$$ cookies from the left pile. In the third test case of the example, you can split the fishes into groups as follows: the first fish forms the $$$1$$$-st group, the last three fishes form the $$$2$$$-nd group. Virtual contest is a way to take part in past contest, as close as possible to participation on time. Firstly Alice chooses some color A, then Bob chooses some color B (A ≠ B). ddjp chxqn wklons zex qsnv sowr bdkxl bsncx fwwyuk dth