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if (judgedTestCount != null && judgedTestCount != undefined) {
|
|||
|
verdictPrototypeDiv.find(".verdict-format-judged").text(judgedTestCount);
|
|||
|
}
|
|||
|
if (passedTestCount != null && passedTestCount != undefined) {
|
|||
|
verdictPrototypeDiv.find(".verdict-format-passed").text(passedTestCount);
|
|||
|
}
|
|||
|
if (points != null && points != undefined) {
|
|||
|
verdictPrototypeDiv.find(".verdict-format-points").text(points);
|
|||
|
}
|
|||
|
Codeforces.showMessage(verdictPrototypeDiv.text());
|
|||
|
}
|
|||
|
}
|
|||
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|
|||
|
$(".clickable-title").each(function() {
|
|||
|
var title = $(this).attr("data-title");
|
|||
|
if (title) {
|
|||
|
var tmp = document.createElement("DIV");
|
|||
|
tmp.innerHTML = title;
|
|||
|
$(this).attr("title", tmp.textContent || tmp.innerText || "");
|
|||
|
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|
|||
|
});
|
|||
|
|
|||
|
$(".clickable-title").click(function() {
|
|||
|
var title = $(this).attr("data-title");
|
|||
|
if (title) {
|
|||
|
Codeforces.alert(title);
|
|||
|
} else {
|
|||
|
Codeforces.alert($(this).attr("title"));
|
|||
|
}
|
|||
|
}).css("position", "relative").css("bottom", "3px");
|
|||
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|
|||
|
Codeforces.showDelayedMessage();
|
|||
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|
|||
|
Codeforces.reformatTimes();
|
|||
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|
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|
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|
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|
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|
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|
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|
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|
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|
|||
|
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|
|||
|
]
|
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|
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|
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|
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|
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|
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Codeforces.setupContestTimes("/data/contests");
|
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|
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|
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|
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|
|||
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|
|||
|
<div style="text-align: center; font-size: 1.8rem; margin-bottom: 0.5em;"
|
|||
|
class="caption">Codeforces Round 172 (Div. 2)</div>
|
|||
|
<div style="border-top: 1px solid #ccc; height: 1em;"></div>
|
|||
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|
|||
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<div class="problem-frames">
|
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<div
|
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style="margin-bottom: 2em;"
|
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>
|
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|
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<style>
|
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#facebox .content:has(.diff-popup) {
|
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width: 90vw;
|
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max-width: 120rem !important;
|
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}
|
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|
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.testCaseMarker {
|
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|
position: absolute;
|
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font-weight: bold;
|
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|
font-size: 1rem;
|
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}
|
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|
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.diff-popup {
|
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width: 90vw;
|
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|
max-width: 120rem !important;
|
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display: none;
|
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|
overflow: auto;
|
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|
}
|
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|
|
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|
.input-output-copier {
|
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font-size: 1.2rem;
|
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float: right;
|
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color: #888 !important;
|
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|
cursor: pointer;
|
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|
border: 1px solid rgb(185, 185, 185);
|
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|
padding: 3px;
|
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|
margin: 1px;
|
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line-height: 1.1rem;
|
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|
text-transform: none;
|
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|
}
|
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|
|||
|
.input-output-copier:hover {
|
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|
background-color: #def;
|
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|
}
|
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|
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|
.test-explanation textarea {
|
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|
width: 100%;
|
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|
height: 1.5em;
|
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|
}
|
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|
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.pending-submission-message {
|
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|
color: darkorange !important;
|
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|
}
|
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</style>
|
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<script>
|
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|
const OPENING_SPACE = String.fromCharCode(1001);
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|
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|
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|
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|
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if (node.tagName === "SCRIPT" || node.tagName === "math"
|
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|
|| (node.classList && node.classList.contains("input-output-copier")))
|
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|
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|
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|
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|
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|
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|
if (node.tagName === "DIV"
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|
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|
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) {
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|
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|
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|
const text = nodeToText(statmentNode, false).join("").replace(/ +/g, " ").replace(/\n\n+/g, "\n\n");
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let result = [];
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for (let i = 0; i < text.length; i++) {
|
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|
const c = text.charAt(i);
|
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|
if (c === OPENING_SPACE) {
|
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|
if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {
|
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|
result.push('+');
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|
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|
if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {
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|
result.push('-');
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|
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|
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|
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|
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|
result.push(c);
|
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|
}
|
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|
}
|
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|
return result.join("").split("\n").map(value => value.trim()).join("\n");
|
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|
};
|
|||
|
</script>
|
|||
|
<div class="diff-popup">
|
|||
|
</div>
|
|||
|
|
|||
|
<div class="problemindexholder" problemindex="A" data-uuid="ps_3d20dac520a782bf144a7e264ffb033154647cbe">
|
|||
|
<div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier">
|
|||
|
<div>The problem statement has recently been changed. <a class="view-changes" href="#">View the changes.</a></div>
|
|||
|
<span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span>
|
|||
|
</div>
|
|||
|
<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Word Capitalization</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>Capitalization is writing a word with its first letter as a capital letter. Your task is to capitalize the given word.</p><p>Note, that during capitalization all the letters except the first one remains unchanged.</p></div><div class="input-specification"><div class="section-title">Input</div><p>A single line contains a non-empty word. This word consists of lowercase and uppercase English letters. The length of the word will not exceed <span class="tex-span">10<sup class="upper-index">3</sup></span>.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Output the given word after capitalization.</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>ApPLe<br /></pre></div><div class="output"><div class="title">Output</div><pre>ApPLe<br /></pre></div><div class="input"><div class="title">Input</div><pre>konjac<br /></pre></div><div class="output"><div class="title">Output</div><pre>Konjac<br /></pre></div></div></div></div></div>
|
|||
|
</div>
|
|||
|
|
|||
|
<script>
|
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|
$(function () {
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|
Codeforces.addMathJaxListener(function () {
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|
let $problem = $("div[problemindex=A]");
|
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|
let uuid = $problem.attr("data-uuid");
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let statementText = convertStatementToText($problem.find(".ttypography").get(0));
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let previousStatementText = Codeforces.getFromStorage(uuid);
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$problem.find(".diff-notifier-close").click(function() {
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Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60);
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$problem.find(".diff-notifier").hide();
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});
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|
$problem.find("a.view-changes").click(function() {
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|
$.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) {
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if (result["success"] === "true") {
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Codeforces.facebox(".diff-popup", "//codeforces.org/s/34323");
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$("#facebox .diff-popup").html(result["diff"]);
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}
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}, "json");
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});
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}
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} else {
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Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60);
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|
}
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|
});
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});
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|
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|
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|
<script type="text/javascript">
|
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|
$(document).ready(function () {
|
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|
window.changedTests = new Set();
|
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|
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|
function endsWith(string, suffix) {
|
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|
return string.indexOf(suffix, string.length - suffix.length) !== -1;
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|
}
|
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|
const inputFileDiv = $("div.input-file");
|
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|
const inputFile = inputFileDiv.text();
|
|||
|
const outputFileDiv = $("div.output-file");
|
|||
|
const outputFile = outputFileDiv.text();
|
|||
|
|
|||
|
|
|||
|
if (!endsWith(inputFile, "standard input")
|
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|
&& !endsWith(inputFile, "standard input")) {
|
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|
inputFileDiv.attr("style", "font-weight: bold");
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if (!endsWith(outputFile, "standard output")
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|
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|
outputFileDiv.attr("style", "font-weight: bold");
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|
}
|
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|
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|
const titleDiv = $("div.header div.title");
|
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|
|
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|
|
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|
|
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|
String.prototype.replaceAll = function (search, replace) {
|
|||
|
return this.split(search).join(replace);
|
|||
|
};
|
|||
|
|
|||
|
$(".sample-test .title").each(function () {
|
|||
|
const preId = ("id" + Math.random()).replaceAll(".", "0");
|
|||
|
const cpyId = ("id" + Math.random()).replaceAll(".", "0");
|
|||
|
|
|||
|
$(this).parent().find("pre").attr("id", preId);
|
|||
|
const $copy = $("<div title='Copy' data-clipboard-target='#" + preId + "' id='" + cpyId + "' class='input-output-copier'>Copy</div>");
|
|||
|
$(this).append($copy);
|
|||
|
|
|||
|
const clipboard = new Clipboard('#' + cpyId, {
|
|||
|
text: function (trigger) {
|
|||
|
const pre = document.querySelector('#' + preId);
|
|||
|
const lines = pre.querySelectorAll(".test-example-line");
|
|||
|
return Codeforces.filterClipboardText(pre.innerText, lines.length);
|
|||
|
}
|
|||
|
});
|
|||
|
|
|||
|
const isInput = $(this).parent().hasClass("input");
|
|||
|
|
|||
|
clipboard.on('success', function (e) {
|
|||
|
if (isInput) {
|
|||
|
Codeforces.showMessage("The example input has been copied into the clipboard");
|
|||
|
} else {
|
|||
|
Codeforces.showMessage("The example output has been copied into the clipboard");
|
|||
|
}
|
|||
|
e.clearSelection();
|
|||
|
});
|
|||
|
});
|
|||
|
|
|||
|
$(".test-form-item input").change(function () {
|
|||
|
addPendingSubmissionMessage($($(this).closest("form")), "You changed the answer, do not forget to submit it if you want to save the changes");
|
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|
const index = $(this).closest(".problemindexholder").attr("problemindex");
|
|||
|
let test = "";
|
|||
|
$(this).closest("form input").each(function () {
|
|||
|
const test_ = $(this).attr("name");
|
|||
|
if (test_ && test_.substring(0, 4) === "test") {
|
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|
test = test_;
|
|||
|
}
|
|||
|
});
|
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|
if (index.length > 0 && test.length > 0) {
|
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|
const indexTest = index + "::" + test;
|
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|
window.changedTests.add(indexTest);
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|
}
|
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|
});
|
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|
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|
$(window).on('beforeunload', function () {
|
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|
if (window.changedTests.size > 0) {
|
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|
return 'Dialog text here';
|
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}
|
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|
});
|
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|
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|
autosize($('.test-explanation textarea'));
|
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|
$(".test-example-line").hover(function() {
|
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|
$(this).attr("class").split(" ").forEach((clazz) => {
|
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|
if (clazz.substr(0, "test-example-line-".length) === "test-example-line-") {
|
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|
let end = clazz.substr("test-example-line-".length);
|
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|
if (end !== "even" && end !== "odd" && end !== "0") {
|
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|
let top = 1E20;
|
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|
let left = 1E20;
|
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|
let problem = $(this).closest(".problemindexholder");
|
|||
|
$(this).closest(".input").find("." + clazz).css("background-color", "#FFFDE7").each(function() {
|
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<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Nearest Fraction</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>You are given three positive integers <span class="tex-span"><i>x</i>, <i>y</i>, <i>n</i></span>. Your task is to find the nearest fraction to fraction <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/d9049b74dfcebaef5774f475b1e3ef4ed39cfc63.png" style="max-width: 100.0%;max-height: 100.0%;" /> whose denominator is no more than <span class="tex-span"><i>n</i></span>. </p><p>Formally, you should find such pair of integers <span class="tex-span"><i>a</i>, <i>b</i></span> <span class="tex-span">(1 ≤ <i>b</i> ≤ <i>n</i>; 0 ≤ <i>a</i>)</span> that the value <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/a4bb27e47b8ebb13e650f4f8a897d41377cf4360.png" style="max-width: 100.0%;max-height: 100.0%;" /> is as minimal as possible.</p><p>If there are multiple "nearest" fractions, choose the one with the minimum denominator. If there are multiple "nearest" fractions with the minimum denominator, choose the one with the minimum numerator.</p></div><div class="input-specification"><div class="section-title">Input</div><p>A single line contains three integers <span class="tex-span"><i>x</i>, <i>y</i>, <i>n</i></span> <span class="tex-span">(1 ≤ <i>x</i>, <i>y</i>, <i>n</i> ≤ 10<sup class="upper-index">5</sup>)</span>.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print the required fraction in the format "<span class="tex-span"><i>a</i></span>/<span class="tex-span"><i>b</i></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>3 7 6<br /></pre></div><div class="output"><div class="title">Output</div><pre>2/5<br /></pre></div><div class="input"><div class="title">Input</div><pre>7 2 4<br /></pre></div><div class="output"><div class="title">Output</div><pre>7/2<br /></pre></div></div></div></div></div>
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<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Rectangle Puzzle</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>You are given two rectangles on a plane. The centers of both rectangles are located in the origin of coordinates (meaning the center of the rectangle's symmetry). The first rectangle's sides are parallel to the coordinate axes: the length of the side that is parallel to the <span class="tex-span"><i>Ox</i></span> axis, equals <span class="tex-span"><i>w</i></span>, the length of the side that is parallel to the <span class="tex-span"><i>Oy</i></span> axis, equals <span class="tex-span"><i>h</i></span>. The second rectangle can be obtained by rotating the first rectangle relative to the origin of coordinates by angle <span class="tex-span">α</span>.</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/b997a953b748780107b3f45c318ffd00eca6439a.png" style="max-width: 100.0%;max-height: 100.0%;" /> </center><p>Your task is to find the area of the region which belongs to both given rectangles. This region is shaded in the picture.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains three integers <span class="tex-span"><i>w</i>, <i>h</i>, α</span> <span class="tex-span">(1 ≤ <i>w</i>, <i>h</i> ≤ 10<sup class="upper-index">6</sup>; 0 ≤ α ≤ 180)</span>. Angle <span class="tex-span">α</span> is given in degrees.</p></div><div class="output-specification"><div class="section-title">Output</div><p>In a single line print a real number — the area of the region which belongs to both given rectangles.</p><p>The answer will be considered correct if its relative or absolute error doesn't exceed <span class="tex-span">10<sup class="upper-index"> - 6</sup></span>.</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>1 1 45<br /></pre></div><div class="output"><div class="title">Output</div><pre>0.828427125<br /></pre></div><div class="input"><div class="title">Input</div><pre>6 4 30<br /></pre></div><div class="output"><div class="title">Output</div><pre>19.668384925<br /></pre></div></div></div><div class="note"><div class="section-title">Note</div><p>The second sample has been drawn on the picture above.</p></div></div></div>
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<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Maximum Xor Secondary</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>Bike loves looking for the second maximum element in the sequence. The second maximum element in the sequence of distinct numbers <span class="tex-span"><i>x</i><sub class="lower-index">1</sub>, <i>x</i><sub class="lower-index">2</sub>, ..., <i>x</i><sub class="lower-index"><i>k</i></sub></span> <span class="tex-span">(<i>k</i> > 1)</span> is such maximum element <span class="tex-span"><i>x</i><sub class="lower-index"><i>j</i></sub></span>, that the following inequality holds: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/41e9a774451aa769280692592b29103e0a6ecf97.png" style="max-width: 100.0%;max-height: 100.0%;" />.</p><p>The lucky number of the sequence of distinct positive integers <span class="tex-span"><i>x</i><sub class="lower-index">1</sub>, <i>x</i><sub class="lower-index">2</sub>, ..., <i>x</i><sub class="lower-index"><i>k</i></sub></span> <span class="tex-span">(<i>k</i> > 1)</span> is the number that is equal to the bitwise excluding OR of the maximum element of the sequence and the second maximum element of the sequence.</p><p>You've got a sequence of distinct positive integers <span class="tex-span"><i>s</i><sub class="lower-index">1</sub>, <i>s</i><sub class="lower-index">2</sub>, ..., <i>s</i><sub class="lower-index"><i>n</i></sub></span> <span class="tex-span">(<i>n</i> > 1)</span>. Let's denote sequence <span class="tex-span"><i>s</i><sub class="lower-index"><i>l</i></sub>, <i>s</i><sub class="lower-index"><i>l</i> + 1</sub>, ..., <i>s</i><sub class="lower-index"><i>r</i></sub></span> as <span class="tex-span"><i>s</i>[<i>l</i>..<i>r</i>]</span> <span class="tex-span">(1 ≤ <i>l</i> < <i>r</i> ≤ <i>n</i>)</span>. Your task is to find the maximum number among all lucky numbers of sequences <span class="tex-span"><i>s</i>[<i>l</i>..<i>r</i>]</span>.</p><p>Note that as all numbers in sequence <span class="tex-span"><i>s</i></span> are distinct, all the given definitions make sence.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains integer <span class="tex-span"><i>n</i></span> <span class="tex-span">(1 < <i>n</i> ≤ 10<sup class="upper-index">5</sup>)</span>. The second line contains <span class="tex-span"><i>n</i></span> distinct integers <span class="tex-span"><i>s</i><sub class="lower-index">1</sub>, <i>s</i><sub class="lower-index">2</sub>, ..., <i>s</i><sub class="lower-index"><i>n</i></sub></span> <span class="tex-span">(1 ≤ <i>s</i><sub class="lower-index"><i>i</i></sub> ≤ 10<sup class="upper-index">9</sup>)</span>.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print a single integer — the maximum lucky number among all lucky numbers of sequences <span class="tex-span"><i>s</i>[<i>l</i>..<i>r</i>]</span>.</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<br />5 2 1 4 3<br /></pre></div><div class="output"><div class="title">Output</div><pre>7<br /></pre></div><div class="input"><div class="title">Input</div><pre>5<br />9 8 3 5 7<br /></pre></div><div class="output"><div class="title">Output</div><pre>15<br /></pre></div></div></div><div class="note"><div class="section-title">Note</div><p>For the first sample you can choose <span class="tex-span"><i>s</i>[4..5] = {4, 3}</span> and its lucky number is <span class="tex-span">(4 <i>xor</i> 3) = 7</span>. You can also
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<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Game on Tree</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>Momiji has got a rooted tree, consisting of <span class="tex-span"><i>n</i></span> nodes. The tree nodes are numbered by integers from <span class="tex-span">1</span> to <span class="tex-span"><i>n</i></span>. The root has number <span class="tex-span">1</span>. Momiji decided to play a game on this tree.</p><p>The game consists of several steps. On each step, Momiji chooses one of the remaining tree nodes (let's denote it by <span class="tex-span"><i>v</i></span>) and removes all the subtree nodes with the root in node <span class="tex-span"><i>v</i></span> from the tree. Node <span class="tex-span"><i>v</i></span> gets deleted as well. The game finishes when the tree has no nodes left. In other words, the game finishes after the step that chooses the node number <span class="tex-span">1</span>.</p><p>Each time Momiji chooses a new node uniformly among all the remaining nodes. Your task is to find the expectation of the number of steps in the described game.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains integer <span class="tex-span"><i>n</i></span> <span class="tex-span">(1 ≤ <i>n</i> ≤ 10<sup class="upper-index">5</sup>)</span> — the number of nodes in the tree. The next <span class="tex-span"><i>n</i> - 1</span> lines contain the tree edges. The <span class="tex-span"><i>i</i></span>-th line contains integers <span class="tex-span"><i>a</i><sub class="lower-index"><i>i</i></sub></span>, <span class="tex-span"><i>b</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>b</i><sub class="lower-index"><i>i</i></sub> ≤ <i>n</i>; <i>a</i><sub class="lower-index"><i>i</i></sub> ≠ <i>b</i><sub class="lower-index"><i>i</i></sub>)</span> — the numbers of the nodes that are connected by the <span class="tex-span"><i>i</i></span>-th edge.</p><p>It is guaranteed that the given graph is a tree.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print a single real number — the expectation of the number of steps in the described game.</p><p>The answer will be considered correct if the absolute or relative error doesn't exceed <span class="tex-span">10<sup class="upper-index"> - 6</sup></span>.</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 />1 2<br /></pre></div><div class="output"><div class="title">Output</div><pre>1.50000000000000000000<br /></pre></div><div class="input"><div class="title">Input</div><pre>3<br />1 2<br />1 3<br /></pre></div><div class="output"><div class="title">Output</div><pre>2.00000000000000000000<br /></pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first sample, there are two cases. One is directly remove the root and another is remove the root after one step. Thus the expected steps are: </p><center class="tex-equation"><span class="tex-span">1 × (1 / 2) + 2 × (1 / 2) = 1.5</span></center><p>In the second sample, things get more complex. There are two cases that reduce to the first sample, and one case cleaned at once. Thus the expected steps are: </p><center class="tex-equation"><span class="tex-span">1 × (1 / 3) + (1 + 1.5) × (2 / 3) = (1 / 3) + (5 / 3) = 2</span></center></div></div></div>
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