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<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Nearly Lucky Number</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><span class="tex-font-style-underline">Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits <span class="tex-font-style-bf">4</span> and <span class="tex-font-style-bf">7</span>. For example, numbers <span class="tex-font-style-bf">47</span>, <span class="tex-font-style-bf">744</span>, <span class="tex-font-style-bf">4</span> are lucky and <span class="tex-font-style-bf">5</span>, <span class="tex-font-style-bf">17</span>, <span class="tex-font-style-bf">467</span> are not.</span></p><p>Unfortunately, not all numbers are lucky. Petya calls a number <span class="tex-font-style-underline">nearly lucky</span> if the number of lucky digits in it is a lucky number. He wonders whether number <span class="tex-span"><i>n</i></span> is a nearly lucky number.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The only line contains an integer <span class="tex-span"><i>n</i></span> (<span class="tex-span">1 ≤ <i>n</i> ≤ 10<sup class="upper-index">18</sup></span>).</p><p>Please do not use the %lld specificator to read or write 64-bit numbers in С++. It is preferred to use the cin, cout streams or the %I64d specificator.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print on the single line "<span class="tex-font-style-tt">YES</span>" if <span class="tex-span"><i>n</i></span> is a nearly lucky number. Otherwise, print "<span class="tex-font-style-tt">NO</span>" (without the 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>40047<br /></pre></div><div class="output"><div class="title">Output</div><pre>NO<br /></pre></div><div class="input"><div class="title">Input</div><pre>7747774<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>1000000000000000000<br /></pre></div><div class="output"><div class="title">Output</div><pre>NO<br /></pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first sample there are 3 lucky digits (first one and last two), so the answer is "<span class="tex-font-style-tt">NO</span>".</p><p>In the second sample there are 7 lucky digits, 7 is lucky number, so the answer is "<span class="tex-font-style-tt">YES</span>".</p><p>In the third sample there are no lucky digits, so the answer is "<span class="tex-font-style-tt">NO</span>".</p></div></div></div>
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Codeforces.facebox(".diff-popup", "//codeforces.org/s/14919");
|
|||
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$("#facebox .diff-popup").html(result["diff"]);
|
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}
|
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}, "json");
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});
|
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}
|
|||
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|
|||
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Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60);
|
|||
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}
|
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});
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});
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|
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outputFileDiv.attr("style", "font-weight: bold");
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$(".sample-test .title").each(function () {
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const cpyId = ("id" + Math.random()).replaceAll(".", "0");
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const $copy = $("<div title='Copy' data-clipboard-target='#" + preId + "' id='" + cpyId + "' class='input-output-copier'>Copy</div>");
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const clipboard = new Clipboard('#' + cpyId, {
|
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text: function (trigger) {
|
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const pre = document.querySelector('#' + preId);
|
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const lines = pre.querySelectorAll(".test-example-line");
|
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return Codeforces.filterClipboardText(pre.innerText, lines.length);
|
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}
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clipboard.on('success', function (e) {
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Codeforces.showMessage("The example input has been copied into the clipboard");
|
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} else {
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Codeforces.showMessage("The example output has been copied into the clipboard");
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|
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$(".test-form-item input").change(function () {
|
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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 = $(this).closest(".problemindexholder").attr("problemindex");
|
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|
|||
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const indexTest = index + "::" + test;
|
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|
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|
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|
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|
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|
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|
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|
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|
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autosize($('.test-explanation textarea'));
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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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top = Math.min(top, $(this).offset().top);
|
|||
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left = Math.min(left, $(this).offset().left);
|
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|
|||
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let testCaseMarker = problem.find(".testCaseMarker_" + end);
|
|||
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|
|||
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const html = "<div class=\"testCaseMarker testCaseMarker_" + end + " notice\"></div>";
|
|||
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|
|||
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|
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|
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|
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|
|||
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.offset({top, left: left - 20})
|
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.text(end);
|
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|
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|
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|
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|
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|
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|
|||
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|
|||
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|
|||
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|
|||
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$("." + clazz).css("background-color", "");
|
|||
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$(this).closest(".problemindexholder").find(".testCaseMarker_" + end).hide();
|
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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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|
|||
|
|
<div class="problemindexholder" problemindex="B" data-uuid="ps_2159cc0dc016808aaba0ac3796c2b58456970228">
|
|||
|
|
<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">B. Lucky String</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><span class="tex-font-style-underline">Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits <span class="tex-font-style-bf">4</span> and <span class="tex-font-style-bf">7</span>. For example, numbers <span class="tex-font-style-bf">47</span>, <span class="tex-font-style-bf">744</span>, <span class="tex-font-style-bf">4</span> are lucky and <span class="tex-font-style-bf">5</span>, <span class="tex-font-style-bf">17</span>, <span class="tex-font-style-bf">467</span> are not.</span></p><p>Petya recently learned to determine whether a string of lowercase Latin letters is lucky. For each individual letter all its positions in the string are written out in the increasing order. This results in <span class="tex-span">26</span> lists of numbers; some of them can be empty. A string is considered lucky if and only if in each list the absolute difference of any two <span class="tex-font-style-bf">adjacent</span> numbers is a lucky number. </p><p>For example, let's consider string "<span class="tex-font-style-tt">zbcdzefdzc</span>". The lists of positions of equal letters are:</p><ul><li> <span class="tex-font-style-tt">b</span>: <span class="tex-span">2</span></li><li> <span class="tex-font-style-tt">c</span>: <span class="tex-span">3, 10</span></li><li> <span class="tex-font-style-tt">d</span>: <span class="tex-span">4, 8</span></li><li> <span class="tex-font-style-tt">e</span>: <span class="tex-span">6</span></li><li> <span class="tex-font-style-tt">f</span>: <span class="tex-span">7</span></li><li> <span class="tex-font-style-tt">z</span>: <span class="tex-span">1, 5, 9</span></li><li> Lists of positions of letters <span class="tex-font-style-tt">a</span>, <span class="tex-font-style-tt">g</span>, <span class="tex-font-style-tt">h</span>, ..., <span class="tex-font-style-tt">y</span> are empty.</li></ul><p>This string is lucky as all differences are lucky numbers. For letters <span class="tex-font-style-tt">z</span>: <span class="tex-span">5 - 1 = 4</span>, <span class="tex-span">9 - 5 = 4</span>, for letters <span class="tex-font-style-tt">c</span>: <span class="tex-span">10 - 3 = 7</span>, for letters <span class="tex-font-style-tt">d</span>: <span class="tex-span">8 - 4 = 4</span>. </p><p>Note that if some letter occurs only once in a string, it doesn't influence the string's luckiness after building the lists of positions of equal letters. The string where all the letters are distinct is considered lucky.</p><p>Find the lexicographically minimal lucky string whose length equals <span class="tex-span"><i>n</i></span>.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The single line contains a positive 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 length of the sought string.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print on the single line the lexicographically minimal lucky string whose length equals <span class="tex-span"><i>n</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 /></pre></div><div class="output"><div class="title">Output</div><pre>abcda<br /></pre></div><div class="input"><div class="title">Input</div><pre>3<br /></pre></div><div class="output"><div class="title">Output</div><pre>abc
|
|||
|
|
</div>
|
|||
|
|
|
|||
|
|
<script>
|
|||
|
|
$(function () {
|
|||
|
|
Codeforces.addMathJaxListener(function () {
|
|||
|
|
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|
|||
|
|
let uuid = $problem.attr("data-uuid");
|
|||
|
|
let statementText = convertStatementToText($problem.find(".ttypography").get(0));
|
|||
|
|
|
|||
|
|
let previousStatementText = Codeforces.getFromStorage(uuid);
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|
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if (previousStatementText !== statementText) {
|
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|
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|
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|
|
$problem.find(".diff-notifier-close").click(function() {
|
|||
|
|
Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60);
|
|||
|
|
$problem.find(".diff-notifier").hide();
|
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|
|
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|
|||
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|
|
|||
|
|
$problem.find("a.view-changes").click(function() {
|
|||
|
|
$.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) {
|
|||
|
|
if (result["success"] === "true") {
|
|||
|
|
Codeforces.facebox(".diff-popup", "//codeforces.org/s/14919");
|
|||
|
|
$("#facebox .diff-popup").html(result["diff"]);
|
|||
|
|
}
|
|||
|
|
}, "json");
|
|||
|
|
});
|
|||
|
|
}
|
|||
|
|
} else {
|
|||
|
|
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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|
|||
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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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|
|||
|
|
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|
|||
|
|
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|
|||
|
|
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|
|||
|
|
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|
|||
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|
|
|||
|
|
if (!endsWith(outputFile, "standard output")
|
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|
|
&& !endsWith(outputFile, "standard output")) {
|
|||
|
|
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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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|
|||
|
|
<div
|
|||
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|
style="margin-bottom: 2em;"
|
|||
|
|
>
|
|||
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|
|||
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|
|||
|
|
<div class="problemindexholder" problemindex="C" data-uuid="ps_1650fbf3662b9f806a5925ae375583362fa57e3e">
|
|||
|
|
<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">C. Lucky Sum of Digits</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><span class="tex-font-style-underline">Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits <span class="tex-font-style-bf">4</span> and <span class="tex-font-style-bf">7</span>. For example, numbers <span class="tex-font-style-bf">47</span>, <span class="tex-font-style-bf">744</span>, <span class="tex-font-style-bf">4</span> are lucky and <span class="tex-font-style-bf">5</span>, <span class="tex-font-style-bf">17</span>, <span class="tex-font-style-bf">467</span> are not.</span></p><p>Petya wonders eagerly what minimum lucky number has the sum of digits equal to <span class="tex-span"><i>n</i></span>. Help him cope with the task.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The single line contains an integer <span class="tex-span"><i>n</i></span> (<span class="tex-span">1 ≤ <i>n</i> ≤ 10<sup class="upper-index">6</sup></span>) — the sum of digits of the required lucky number.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print on the single line the result — the minimum lucky number, whose sum of digits equals <span class="tex-span"><i>n</i></span>. If such number does not exist, print -1.</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>11<br /></pre></div><div class="output"><div class="title">Output</div><pre>47<br /></pre></div><div class="input"><div class="title">Input</div><pre>10<br /></pre></div><div class="output"><div class="title">Output</div><pre>-1<br /></pre></div></div></div></div></div>
|
|||
|
|
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|
|||
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|
|||
|
|
<script>
|
|||
|
|
$(function () {
|
|||
|
|
Codeforces.addMathJaxListener(function () {
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let $problem = $("div[problemindex=C]");
|
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|
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|
|
let statementText = convertStatementToText($problem.find(".ttypography").get(0));
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|
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|
|
let previousStatementText = Codeforces.getFromStorage(uuid);
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|
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|
|
if (previousStatementText !== statementText) {
|
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|
|||
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|
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|
|
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|
|||
|
|
Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60);
|
|||
|
|
$problem.find(".diff-notifier").hide();
|
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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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|
|
if (result["success"] === "true") {
|
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|
|
Codeforces.facebox(".diff-popup", "//codeforces.org/s/14919");
|
|||
|
|
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|
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|
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|
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|
|
}, "json");
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|
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});
|
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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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});
|
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|
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<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Lucky Probability</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><span class="tex-font-style-underline">Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits <span class="tex-font-style-bf">4</span> and <span class="tex-font-style-bf">7</span>. For example, numbers <span class="tex-font-style-bf">47</span>, <span class="tex-font-style-bf">744</span>, <span class="tex-font-style-bf">4</span> are lucky and <span class="tex-font-style-bf">5</span>, <span class="tex-font-style-bf">17</span>, <span class="tex-font-style-bf">467</span> are not.</span></p><p>Petya and his friend Vasya play an interesting game. Petya randomly chooses an integer <span class="tex-span"><i>p</i></span> from the interval <span class="tex-span">[<i>p</i><sub class="lower-index"><i>l</i></sub>, <i>p</i><sub class="lower-index"><i>r</i></sub>]</span> and Vasya chooses an integer <span class="tex-span"><i>v</i></span> from the interval <span class="tex-span">[<i>v</i><sub class="lower-index"><i>l</i></sub>, <i>v</i><sub class="lower-index"><i>r</i></sub>]</span> (also randomly). Both players choose their integers equiprobably. Find the probability that the interval <span class="tex-span">[<i>min</i>(<i>v</i>, <i>p</i>), <i>max</i>(<i>v</i>, <i>p</i>)]</span> contains exactly <span class="tex-span"><i>k</i></span> lucky numbers.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The single line contains five integers <span class="tex-span"><i>p</i><sub class="lower-index"><i>l</i></sub></span>, <span class="tex-span"><i>p</i><sub class="lower-index"><i>r</i></sub></span>, <span class="tex-span"><i>v</i><sub class="lower-index"><i>l</i></sub></span>, <span class="tex-span"><i>v</i><sub class="lower-index"><i>r</i></sub></span> and <span class="tex-span"><i>k</i></span> (<span class="tex-span">1 ≤ <i>p</i><sub class="lower-index"><i>l</i></sub> ≤ <i>p</i><sub class="lower-index"><i>r</i></sub> ≤ 10<sup class="upper-index">9</sup>, 1 ≤ <i>v</i><sub class="lower-index"><i>l</i></sub> ≤ <i>v</i><sub class="lower-index"><i>r</i></sub> ≤ 10<sup class="upper-index">9</sup>, 1 ≤ <i>k</i> ≤ 1000</span>).</p></div><div class="output-specification"><div class="section-title">Output</div><p>On the single line print the result with an absolute error of no more than <span class="tex-span">10<sup class="upper-index"> - 9</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 10 1 10 2<br /></pre></div><div class="output"><div class="title">Output</div><pre>0.320000000000<br /></pre></div><div class="input"><div class="title">Input</div><pre>5 6 8 10 1<br /></pre></div><div class="output"><div class="title">Output</div><pre>1.000000000000<br /></pre></div></div></div><div class="note"><div class="section-title">Note</div><p>Consider that <span class="tex-span">[<i>a</i>, <i>b</i>]</span> denotes an interval of integers; this interval <span class="tex-font-style-bf">includes</span> the boundaries. That is, <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/18b4a6012d95ad18891561410f0314497a578d63.png" style="max-width: 100.0%;max-height: 100.0%;" /></p><p>In first case there are <span class="tex-span">32</span> suitable pairs: <span class="tex-span">(1, 7), (1, 8), (1, 9), (1, 10), (2, 7), (2, 8), (2, 9), (2, 10), (3, 7), (3, 8), (3, 9), (3, 10), (4, 7), (4, 8),
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<div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Lucky Tree</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><span class="tex-font-style-underline">Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits <span class="tex-font-style-bf">4</span> and <span class="tex-font-style-bf">7</span>. For example, numbers <span class="tex-font-style-bf">47</span>, <span class="tex-font-style-bf">744</span>, <span class="tex-font-style-bf">4</span> are lucky and <span class="tex-font-style-bf">5</span>, <span class="tex-font-style-bf">17</span>, <span class="tex-font-style-bf">467</span> are not.</span></p><p>One day Petya encountered a tree with <span class="tex-span"><i>n</i></span> vertexes. Besides, the tree was weighted, i. e. each edge of the tree has weight (a positive integer). An edge is lucky if its weight is a lucky number. Note that a <span class="tex-font-style-underline">tree with <span class="tex-span"><i>n</i></span> vertexes</span> is an undirected connected graph that has exactly <span class="tex-span"><i>n</i> - 1</span> edges.</p><p>Petya wondered how many vertex triples <span class="tex-span">(<i>i</i>, <i>j</i>, <i>k</i>)</span> exists that on the way from <span class="tex-span"><i>i</i></span> to <span class="tex-span"><i>j</i></span>, as well as on the way from <span class="tex-span"><i>i</i></span> to <span class="tex-span"><i>k</i></span> there must be at least one lucky edge (all three vertexes are pairwise distinct). The order of numbers in the triple matters, that is, the triple <span class="tex-span">(1, 2, 3)</span> is not equal to the triple <span class="tex-span">(2, 1, 3)</span> and is not equal to the triple <span class="tex-span">(1, 3, 2)</span>. </p><p>Find how many such triples of vertexes exist.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains the single 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 tree vertexes. Next <span class="tex-span"><i>n</i> - 1</span> lines contain three integers each: <span class="tex-span"><i>u</i><sub class="lower-index"><i>i</i></sub></span> <span class="tex-span"><i>v</i><sub class="lower-index"><i>i</i></sub></span> <span class="tex-span"><i>w</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>, 1 ≤ <i>w</i><sub class="lower-index"><i>i</i></sub> ≤ 10<sup class="upper-index">9</sup></span>) — the pair of vertexes connected by the edge and the edge's weight.</p></div><div class="output-specification"><div class="section-title">Output</div><p>On the single line print the single number — the answer.</p><p>Please do not use the %lld specificator to read or write 64-bit numbers in С++. It is recommended to use the cin, cout streams or the %I64d specificator.</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 />1 2 4<br />3 1 2<br />1 4 7<br /></pre></div><div class="output"><div class="title">Output</div><pre>16<br /></pre></div><div class="input"><div class="title">Input</div><pre>4<br />1 2 4<br />1 3 47<br />1 4 7447<br /></pre></div><div class="output"><div class="title">Output</div><pre>24<br /></pre></div></div></div><div class="note"><div class="section-title">Note</div><p>The <span class="tex-span">16</span> triples of vertexes f
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