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<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Anton and Danik</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Anton likes to play chess, and so does his friend Danik.</p><p>Once they have played <span class="tex-span"><i>n</i></span> games in a row. For each game it's known who was the winner — Anton or Danik. None of the games ended with a tie.</p><p>Now Anton wonders, who won more games, he or Danik? Help him determine this.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line of the input contains a single integer <span class="tex-span"><i>n</i></span> (<span class="tex-span">1 ≤ <i>n</i> ≤ 100 000</span>) — the number of games played.</p><p>The second line contains a string <span class="tex-span"><i>s</i></span>, consisting of <span class="tex-span"><i>n</i></span> uppercase English letters '<span class="tex-font-style-tt">A</span>' and '<span class="tex-font-style-tt">D</span>' — the outcome of each of the games. The <span class="tex-span"><i>i</i></span>-th character of the string is equal to '<span class="tex-font-style-tt">A</span>' if the Anton won the <span class="tex-span"><i>i</i></span>-th game and '<span class="tex-font-style-tt">D</span>' if Danik won the <span class="tex-span"><i>i</i></span>-th game.</p></div><div class="output-specification"><div class="section-title">Output</div><p>If Anton won more games than Danik, print "<span class="tex-font-style-tt">Anton</span>" (without quotes) in the only line of the output.</p><p>If Danik won more games than Anton, print "<span class="tex-font-style-tt">Danik</span>" (without quotes) in the only line of the output.</p><p>If Anton and Danik won the same number of games, print "<span class="tex-font-style-tt">Friendship</span>" (without quotes).</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre>6<br />ADAAAA<br /></pre></div><div class="output"><div class="title">Output</div><pre>Anton<br /></pre></div><div class="input"><div class="title">Input</div><pre>7<br />DDDAADA<br /></pre></div><div class="output"><div class="title">Output</div><pre>Danik<br /></pre></div><div class="input"><div class="title">Input</div><pre>6<br />DADADA<br /></pre></div><div class="output"><div class="title">Output</div><pre>Friendship<br /></pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first sample, Anton won <span class="tex-span">6</span> games, while Danik — only <span class="tex-span">1</span>. Hence, the answer is "<span class="tex-font-style-tt">Anton</span>".</p><p>In the second sample, Anton won <span class="tex-span">3</span> games and Danik won <span class="tex-span">4</span> games, so the answer is "<span class="tex-font-style-tt">Danik</span>".</p><p>In the third sample, both Anton and Danik won <span class="tex-span">3</span> games and the answer is "<span class="tex-font-style-tt">Friendship</span>".</p></div></div><p> </p></div>
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<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Anton and Digits</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Recently Anton found a box with digits in his room. There are <span class="tex-span"><i>k</i><sub class="lower-index">2</sub></span> digits <span class="tex-span">2</span>, <span class="tex-span"><i>k</i><sub class="lower-index">3</sub></span> digits <span class="tex-span">3</span>, <span class="tex-span"><i>k</i><sub class="lower-index">5</sub></span> digits <span class="tex-span">5</span> and <span class="tex-span"><i>k</i><sub class="lower-index">6</sub></span> digits <span class="tex-span">6</span>.</p><p>Anton's favorite integers are <span class="tex-span">32</span> and <span class="tex-span">256</span>. He decided to compose this integers from digits he has. He wants to make the sum of these integers as large as possible. Help him solve this task!</p><p>Each digit can be used no more than once, i.e. the composed integers should contain no more than <span class="tex-span"><i>k</i><sub class="lower-index">2</sub></span> digits <span class="tex-span">2</span>, <span class="tex-span"><i>k</i><sub class="lower-index">3</sub></span> digits <span class="tex-span">3</span> and so on. Of course, unused digits are not counted in the sum.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The only line of the input contains four integers <span class="tex-span"><i>k</i><sub class="lower-index">2</sub></span>, <span class="tex-span"><i>k</i><sub class="lower-index">3</sub></span>, <span class="tex-span"><i>k</i><sub class="lower-index">5</sub></span> and <span class="tex-span"><i>k</i><sub class="lower-index">6</sub></span> — the number of digits <span class="tex-span">2</span>, <span class="tex-span">3</span>, <span class="tex-span">5</span> and <span class="tex-span">6</span> respectively (<span class="tex-span">0 ≤ <i>k</i><sub class="lower-index">2</sub>, <i>k</i><sub class="lower-index">3</sub>, <i>k</i><sub class="lower-index">5</sub>, <i>k</i><sub class="lower-index">6</sub> ≤ 5·10<sup class="upper-index">6</sup></span>).</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print one integer — maximum possible sum of Anton's favorite integers that can be composed using digits from the box.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre>5 1 3 4<br /></pre></div><div class="output"><div class="title">Output</div><pre>800<br /></pre></div><div class="input"><div class="title">Input</div><pre>1 1 1 1<br /></pre></div><div class="output"><div class="title">Output</div><pre>256<br /></pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first sample, there are five digits <span class="tex-span">2</span>, one digit <span class="tex-span">3</span>, three digits <span class="tex-span">5</span> and four digits <span class="tex-span">6</span>. Anton can compose three integers <span class="tex-span">256</span> and one integer <span class="tex-span">32</span> to achieve the value <span class="tex-span">256 + 256 + 256 + 32 = 800</span>. Note, that there is one unused integer <span class="tex-span">2</span> and one unused integer <span class="tex-span">6</span>. They are not counted in the answer.</p><p>In the second sample, the optimal answer is to create on integer <span class="tex-span">256</span>, thus the answer is <span class="tex-span">256</span>.</p></div></div><p> </p></div>
|
|||
|
|
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|
|||
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|
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|
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<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Anton and Making Potions</div><div class="time-limit"><div class="property-title">time limit per test</div>4 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Anton is playing a very interesting computer game, but now he is stuck at one of the levels. To pass to the next level he has to prepare <span class="tex-span"><i>n</i></span> potions.</p><p>Anton has a special kettle, that can prepare one potions in <span class="tex-span"><i>x</i></span> seconds. Also, he knows spells of two types that can faster the process of preparing potions.</p><ol> <li> Spells of this type speed up the preparation time of one potion. There are <span class="tex-span"><i>m</i></span> spells of this type, the <span class="tex-span"><i>i</i></span>-th of them costs <span class="tex-span"><i>b</i><sub class="lower-index"><i>i</i></sub></span> manapoints and changes the preparation time of each potion to <span class="tex-span"><i>a</i><sub class="lower-index"><i>i</i></sub></span> instead of <span class="tex-span"><i>x</i></span>. </li><li> Spells of this type immediately prepare some number of potions. There are <span class="tex-span"><i>k</i></span> such spells, the <span class="tex-span"><i>i</i></span>-th of them costs <span class="tex-span"><i>d</i><sub class="lower-index"><i>i</i></sub></span> manapoints and instantly create <span class="tex-span"><i>c</i><sub class="lower-index"><i>i</i></sub></span> potions. </li></ol><p>Anton can use <span class="tex-font-style-bf">no more than one</span> spell of the first type and <span class="tex-font-style-bf">no more than one</span> spell of the second type, and the total number of manapoints spent should not exceed <span class="tex-span"><i>s</i></span>. Consider that all spells are used instantly and right before Anton starts to prepare potions.</p><p>Anton wants to get to the next level as fast as possible, so he is interested in the minimum number of time he needs to spent in order to prepare at least <span class="tex-span"><i>n</i></span> potions.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line of the input contains three integers <span class="tex-span"><i>n</i></span>, <span class="tex-span"><i>m</i></span>, <span class="tex-span"><i>k</i></span> (<span class="tex-span">1 ≤ <i>n</i> ≤ 2·10<sup class="upper-index">9</sup>, 1 ≤ <i>m</i>, <i>k</i> ≤ 2·10<sup class="upper-index">5</sup></span>) — the number of potions, Anton has to make, the number of spells of the first type and the number of spells of the second type.</p><p>The second line of the input contains two integers <span class="tex-span"><i>x</i></span> and <span class="tex-span"><i>s</i></span> (<span class="tex-span">2 ≤ <i>x</i> ≤ 2·10<sup class="upper-index">9</sup>, 1 ≤ <i>s</i> ≤ 2·10<sup class="upper-index">9</sup></span>) — the initial number of seconds required to prepare one potion and the number of manapoints Anton can use.</p><p>The third line contains <span class="tex-span"><i>m</i></span> integers <span class="tex-span"><i>a</i><sub class="lower-index"><i>i</i></sub></span> (<span class="tex-span">1 ≤ <i>a</i><sub class="lower-index"><i>i</i></sub> < <i>x</i></span>) — the number of seconds it will take to prepare one potion if the <span class="tex-span"><i>i</i></span>-th spell of the first type is used.</p><p>The fourth line contains <span class="tex-span"><i>m</i></span> integers <span class="tex-span"><i>b</i><sub class="lower-index"><i>i</i></sub></span> (<span class="tex-span">1 ≤ <i>b</i><sub class="lower-index"><i>i</i></sub> ≤ 2·10<sup class="upper-index">9</sup></span>) — the number of manapoints to use the <span class="tex-
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<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Anton and Chess</div><div class="time-limit"><div class="property-title">time limit per test</div>4 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Anton likes to play chess. Also, he likes to do programming. That is why he decided to write the program that plays chess. However, he finds the game on <span class="tex-span">8</span> to <span class="tex-span">8</span> board to too simple, he uses an infinite one instead.</p><p>The first task he faced is to check whether the king is in check. Anton doesn't know how to implement this so he asks you to help.</p><p>Consider that an infinite chess board contains one white king and the number of black pieces. There are only rooks, bishops and queens, as the other pieces are not supported yet. The white king is said to be in check if at least one black piece can reach the cell with the king in one move. </p><p>Help Anton and write the program that for the given position determines whether the white king is in check.</p><p>Remainder, on how do chess pieces move: </p><ul> <li> Bishop moves any number of cells diagonally, but it can't "leap" over the occupied cells. </li><li> Rook moves any number of cells horizontally or vertically, but it also can't "leap" over the occupied cells. </li><li> Queen is able to move any number of cells horizontally, vertically or diagonally, but it also can't "leap". </li></ul></div><div class="input-specification"><div class="section-title">Input</div><p>The first line of the input contains a single integer <span class="tex-span"><i>n</i></span> (<span class="tex-span">1 ≤ <i>n</i> ≤ 500 000</span>) — the number of black pieces.</p><p>The second line contains two integers <span class="tex-span"><i>x</i><sub class="lower-index">0</sub></span> and <span class="tex-span"><i>y</i><sub class="lower-index">0</sub></span> (<span class="tex-span"> - 10<sup class="upper-index">9</sup> ≤ <i>x</i><sub class="lower-index">0</sub>, <i>y</i><sub class="lower-index">0</sub> ≤ 10<sup class="upper-index">9</sup></span>) — coordinates of the white king.</p><p>Then follow <span class="tex-span"><i>n</i></span> lines, each of them contains a character and two integers <span class="tex-span"><i>x</i><sub class="lower-index"><i>i</i></sub></span> and <span class="tex-span"><i>y</i><sub class="lower-index"><i>i</i></sub></span> (<span class="tex-span"> - 10<sup class="upper-index">9</sup> ≤ <i>x</i><sub class="lower-index"><i>i</i></sub>, <i>y</i><sub class="lower-index"><i>i</i></sub> ≤ 10<sup class="upper-index">9</sup></span>) — type of the <span class="tex-span"><i>i</i></span>-th piece and its position. Character '<span class="tex-font-style-tt">B</span>' stands for the bishop, '<span class="tex-font-style-tt">R</span>' for the rook and '<span class="tex-font-style-tt">Q</span>' for the queen. It's guaranteed that no two pieces occupy the same position.</p></div><div class="output-specification"><div class="section-title">Output</div><p>The only line of the output should contains "<span class="tex-font-style-tt">YES</span>" (without quotes) if the white king is in check and "<span class="tex-font-style-tt">NO</span>" (without quotes) otherwise.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre>2<br />4 2<br />R 1 1<br />B 1 5<br /></pre></div><div class="output"><div class="title">Output</div><pre>YES<br /></pre></div><div class="input"><div class="title">Input</div><pre>2<br />4 2<br />R 3 3<br />B 1 5<br /></pre></div><div class="output"><div class="title">Output</div><pre>NO<br /></pre></div></div></div><div
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<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Anton and Tree</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Anton is growing a tree in his garden. In case you forgot, the tree is a connected acyclic undirected graph.</p><p>There are <span class="tex-span"><i>n</i></span> vertices in the tree, each of them is painted black or white. Anton doesn't like multicolored trees, so he wants to change the tree such that all vertices have the same color (black or white).</p><p>To change the colors Anton can use only operations of one type. We denote it as <span class="tex-span"><i>paint</i>(<i>v</i>)</span>, where <span class="tex-span"><i>v</i></span> is some vertex of the tree. This operation changes the color of all vertices <span class="tex-span"><i>u</i></span> such that all vertices on the shortest path from <span class="tex-span"><i>v</i></span> to <span class="tex-span"><i>u</i></span> have the same color (including <span class="tex-span"><i>v</i></span> and <span class="tex-span"><i>u</i></span>). For example, consider the tree</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/743d98b529ef7a6cc1ef00db0d15c89abcd4fa68.png" style="max-width: 100.0%;max-height: 100.0%;" /> </center><p>and apply operation <span class="tex-span"><i>paint</i>(3)</span> to get the following:</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/c70da7466118eb36e82383380d75e7da5755bbe6.png" style="max-width: 100.0%;max-height: 100.0%;" /> </center><p>Anton is interested in the minimum number of operation he needs to perform in order to make the colors of all vertices equal.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line of the input contains a single integer <span class="tex-span"><i>n</i></span> (<span class="tex-span">1 ≤ <i>n</i> ≤ 200 000</span>) — the number of vertices in the tree.</p><p>The second line contains <span class="tex-span"><i>n</i></span> integers <span class="tex-span"><i>color</i><sub class="lower-index"><i>i</i></sub></span> (<span class="tex-span">0 ≤ <i>color</i><sub class="lower-index"><i>i</i></sub> ≤ 1</span>) — colors of the vertices. <span class="tex-span"><i>color</i><sub class="lower-index"><i>i</i></sub> = 0</span> means that the <span class="tex-span"><i>i</i></span>-th vertex is initially painted white, while <span class="tex-span"><i>color</i><sub class="lower-index"><i>i</i></sub> = 1</span> means it's initially painted black.</p><p>Then follow <span class="tex-span"><i>n</i> - 1</span> line, each of them contains a pair of integers <span class="tex-span"><i>u</i><sub class="lower-index"><i>i</i></sub></span> and <span class="tex-span"><i>v</i><sub class="lower-index"><i>i</i></sub></span> (<span class="tex-span">1 ≤ <i>u</i><sub class="lower-index"><i>i</i></sub>, <i>v</i><sub class="lower-index"><i>i</i></sub> ≤ <i>n</i>, <i>u</i><sub class="lower-index"><i>i</i></sub> ≠ <i>v</i><sub class="lower-index"><i>i</i></sub></span>) — indices of vertices connected by the corresponding edge. It's guaranteed that all pairs <span class="tex-span">(<i>u</i><sub class="lower-index"><i>i</i></sub>, <i>v</i><sub class="lower-index"><i>i</i></sub>)</span> are distinct, i.e. there are no multiple edges.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print one integer — the minimum number of operations Anton has to apply in order to make all vertices of the tree black or all vertices of the tree white.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="titl
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<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Anton and School</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Anton goes to school, his favorite lessons are arraystudying. He usually solves all the tasks pretty fast, but this time the teacher gave him a complicated one: given two arrays <span class="tex-span"><i>b</i></span> and <span class="tex-span"><i>c</i></span> of length <span class="tex-span"><i>n</i></span>, find array <span class="tex-span"><i>a</i></span>, such that:</p><p><img align="middle" class="tex-formula" src="https://espresso.codeforces.com/740a8e062ff019090dccc22c683a81ee764fd5b3.png" style="max-width: 100.0%;max-height: 100.0%;" /></p><p>where <span class="tex-span"><i>a</i> <i>and</i> <i>b</i></span> means bitwise AND, while <span class="tex-span"><i>a</i> <i>or</i> <i>b</i></span> means bitwise OR.</p><p>Usually Anton is good in arraystudying, but this problem is too hard, so Anton asks you to help.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line of the input contains a single integers <span class="tex-span"><i>n</i></span> (<span class="tex-span">1 ≤ <i>n</i> ≤ 200 000</span>) — the size of arrays <span class="tex-span"><i>b</i></span> and <span class="tex-span"><i>c</i></span>.</p><p>The second line contains <span class="tex-span"><i>n</i></span> integers <span class="tex-span"><i>b</i><sub class="lower-index"><i>i</i></sub></span> (<span class="tex-span">0 ≤ <i>b</i><sub class="lower-index"><i>i</i></sub> ≤ 10<sup class="upper-index">9</sup></span>) — elements of the array <span class="tex-span"><i>b</i></span>.</p><p>Third line contains <span class="tex-span"><i>n</i></span> integers <span class="tex-span"><i>c</i><sub class="lower-index"><i>i</i></sub></span> (<span class="tex-span">0 ≤ <i>c</i><sub class="lower-index"><i>i</i></sub> ≤ 10<sup class="upper-index">9</sup></span>) — elements of the array <span class="tex-span"><i>c</i></span>.</p></div><div class="output-specification"><div class="section-title">Output</div><p>If there is no solution, print <span class="tex-span"> - 1</span>.</p><p>Otherwise, the only line of the output should contain <span class="tex-span"><i>n</i></span> non-negative integers <span class="tex-span"><i>a</i><sub class="lower-index"><i>i</i></sub></span> — elements of the array <span class="tex-span"><i>a</i></span>. If there are multiple possible solutions, you may print any of them.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre>4<br />6 8 4 4<br />16 22 10 10<br /></pre></div><div class="output"><div class="title">Output</div><pre>3 5 1 1 <br /></pre></div><div class="input"><div class="title">Input</div><pre>5<br />8 25 14 7 16<br />19 6 9 4 25<br /></pre></div><div class="output"><div class="title">Output</div><pre>-1<br /></pre></div></div></div></div><p> </p></div>
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