結果
| 問題 | No.811 約数の個数の最大化 |
| ユーザー |
 りあん
|
| 提出日時 | 2019-04-12 22:26:17 |
| 言語 | C#(csc) (csc 3.9.0) |
| 結果 |
AC
|
| 実行時間 | 52 ms / 2,000 ms |
| コード長 | 11,006 bytes |
| コンパイル時間 | 2,922 ms |
| コンパイル使用メモリ | 114,816 KB |
| 実行使用メモリ | 18,176 KB |
| 最終ジャッジ日時 | 2024-09-14 20:09:17 |
| 合計ジャッジ時間 | 4,131 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge6 |
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テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 26 ms
17,920 KB |
| testcase_01 | AC | 26 ms
17,920 KB |
| testcase_02 | AC | 48 ms
17,920 KB |
| testcase_03 | AC | 25 ms
17,664 KB |
| testcase_04 | AC | 26 ms
18,048 KB |
| testcase_05 | AC | 26 ms
17,920 KB |
| testcase_06 | AC | 27 ms
18,048 KB |
| testcase_07 | AC | 29 ms
17,792 KB |
| testcase_08 | AC | 36 ms
17,788 KB |
| testcase_09 | AC | 39 ms
17,788 KB |
| testcase_10 | AC | 33 ms
17,912 KB |
| testcase_11 | AC | 50 ms
17,920 KB |
| testcase_12 | AC | 33 ms
17,908 KB |
| testcase_13 | AC | 52 ms
18,176 KB |
| testcase_14 | AC | 51 ms
18,048 KB |
コンパイルメッセージ
Microsoft (R) Visual C# Compiler version 3.9.0-6.21124.20 (db94f4cc) Copyright (C) Microsoft Corporation. All rights reserved.
ソースコード
using System;
using System.Collections.Generic;
using System.Linq;
using System.Linq.Expressions;
using System.IO;
using System.Text;
using System.Diagnostics;
using static util;
using P = pair<int, int>;
using Binary = System.Func<System.Linq.Expressions.ParameterExpression,
System.Linq.Expressions.ParameterExpression,
System.Linq.Expressions.BinaryExpression>;
using Unary = System.Func<System.Linq.Expressions.ParameterExpression,
System.Linq.Expressions.UnaryExpression>;
class Program {
static StreamWriter sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
static Scan sc = new Scan();
const int M = 1000000007;
const int M2 = 998244353;
const long LM = 1L << 60;
const double eps = 1e-11;
static readonly int[] dd = { 0, 1, 0, -1, 0 };
const string dstring = "RDLU";
static void Main(string[] args)
{
int n, k;
sc.Multi(out n, out k);
var sieve = MyMath.sieve(n);
var soinsuu = new int[n + 1];
var yak = new int[n + 1];
yak[1] = 1;
for (int i = 2; i < n + 1; i++)
{
if (sieve[i]) {
soinsuu[i] = 1;
yak[i] = 2;
continue;
}
for (int j = 2; j * j <= n; j++)
{
if (i % j == 0) {
soinsuu[i] = soinsuu[i / j] + 1;
int c = 0;
int p = i;
while (p % j == 0) {
++c;
p /= j;
}
yak[i] = yak[p] * (1 + c);
break;
}
}
}
int ans = 0;
for (int i = 2; i < n; i++)
{
if (soinsuu[MyMath.gcd(n, i)] >= k && yak[i] > yak[ans]) {
ans = i;
}
}
Prt(ans);
sw.Flush();
}
static void DBG(string a) => Console.WriteLine(a);
static void DBG<T>(IEnumerable<T> a) => DBG(string.Join(" ", a));
static void DBG(params object[] a) => DBG(string.Join(" ", a));
static void Prt(string a) => sw.WriteLine(a);
static void Prt<T>(IEnumerable<T> a) => Prt(string.Join(" ", a));
static void Prt(params object[] a) => Prt(string.Join(" ", a));
}
class pair<T, U> : IComparable<pair<T, U>> {
public T v1;
public U v2;
public pair() : this(default(T), default(U)) {}
public pair(T v1, U v2) { this.v1 = v1; this.v2 = v2; }
public int CompareTo(pair<T, U> a) {
int c = Comparer<T>.Default.Compare(v1, a.v1);
return c != 0 ? c : Comparer<U>.Default.Compare(v2, a.v2);
}
public override string ToString() => v1 + " " + v2;
public void Deconstruct(out T a, out U b) { a = v1; b = v2; }
public static bool operator>(pair<T, U> a, pair<T, U> b) => a.CompareTo(b) > 0;
public static bool operator<(pair<T, U> a, pair<T, U> b) => a.CompareTo(b) < 0;
public static bool operator>=(pair<T, U> a, pair<T, U> b) => a.CompareTo(b) >= 0;
public static bool operator<=(pair<T, U> a, pair<T, U> b) => a.CompareTo(b) <= 0;
}
static class util {
public static pair<T, U> make_pair<T, U>(T v1, U v2) => new pair<T, U>(v1, v2);
public static T sq<T>(T a) => Operator<T>.Multiply(a, a);
public static T Max<T>(params T[] a) => a.Max();
public static T Min<T>(params T[] a) => a.Min();
public static bool inside(int i, int j, int h, int w) => i >= 0 && i < h && j >= 0 && j < w;
public static void Assert(bool cond) { if (!cond) throw new Exception(); }
public static Dictionary<T, int> compress<T>(this IEnumerable<T> a)
=> a.Distinct().OrderBy(v => v).Select((v, i) => new { v, i }).ToDictionary(p => p.v, p => p.i);
public static Dictionary<T, int> compress<T>(params IEnumerable<T>[] a) => compress(a.Aggregate(Enumerable.Union));
public static void swap<T>(ref T a, ref T b) where T : struct { var t = a; a = b; b = t; }
public static void swap<T>(this IList<T> a, int i, int j) where T : struct { var t = a[i]; a[i] = a[j]; a[j] = t; }
public static T[] copy<T>(this IList<T> a) {
var ret = new T[a.Count];
for (int i = 0; i < a.Count; i++) ret[i] = a[i];
return ret;
}
}
static class Operator<T> {
static readonly ParameterExpression x = Expression.Parameter(typeof(T), "x");
static readonly ParameterExpression y = Expression.Parameter(typeof(T), "y");
public static readonly Func<T, T, T> Add = Lambda(Expression.Add);
public static readonly Func<T, T, T> Subtract = Lambda(Expression.Subtract);
public static readonly Func<T, T, T> Multiply = Lambda(Expression.Multiply);
public static readonly Func<T, T, T> Divide = Lambda(Expression.Divide);
public static readonly Func<T, T> Plus = Lambda(Expression.UnaryPlus);
public static readonly Func<T, T> Negate = Lambda(Expression.Negate);
public static Func<T, T, T> Lambda(Binary op) => Expression.Lambda<Func<T, T, T>>(op(x, y), x, y).Compile();
public static Func<T, T> Lambda(Unary op) => Expression.Lambda<Func<T, T>>(op(x), x).Compile();
}
class Scan {
StreamReader sr;
public Scan() { sr = new StreamReader(Console.OpenStandardInput()); }
public Scan(string path) { sr = new StreamReader(path); }
public int Int => int.Parse(Str);
public long Long => long.Parse(Str);
public double Double => double.Parse(Str);
public string Str => sr.ReadLine().Trim();
public pair<T, U> Pair<T, U>() {
T a; U b;
Multi(out a, out b);
return new pair<T, U>(a, b);
}
public P P => Pair<int, int>();
public int[] IntArr => StrArr.Select(int.Parse).ToArray();
public long[] LongArr => StrArr.Select(long.Parse).ToArray();
public double[] DoubleArr => StrArr.Select(double.Parse).ToArray();
public string[] StrArr => Str.Split(new[]{' '}, StringSplitOptions.RemoveEmptyEntries);
bool eq<T, U>() => typeof(T).Equals(typeof(U));
T ct<T, U>(U a) => (T)Convert.ChangeType(a, typeof(T));
T cv<T>(string s) => eq<T, int>() ? ct<T, int>(int.Parse(s))
: eq<T, long>() ? ct<T, long>(long.Parse(s))
: eq<T, double>() ? ct<T, double>(double.Parse(s))
: eq<T, char>() ? ct<T, char>(s[0])
: ct<T, string>(s);
public void Multi<T>(out T a) => a = cv<T>(Str);
public void Multi<T, U>(out T a, out U b)
{ var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); }
public void Multi<T, U, V>(out T a, out U b, out V c)
{ var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); }
public void Multi<T, U, V, W>(out T a, out U b, out V c, out W d)
{ var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]); }
public void Multi<T, U, V, W, X>(out T a, out U b, out V c, out W d, out X e)
{ var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]); e = cv<X>(ar[4]); }
}
static class MyMath
{
public static long Mod = 1000000007;
public static bool isprime(long a) {
if (a < 2) return false;
for (long i = 2; i * i <= a; i++) if (a % i == 0) return false;
return true;
}
public static bool[] sieve(int n) {
var p = new bool[n + 1];
for (int i = 2; i <= n; i++) p[i] = true;
for (int i = 2; i * i <= n; i++) if (p[i]) for (int j = i * i; j <= n; j += i) p[j] = false;
return p;
}
public static List<int> getprimes(int n) {
var prs = new List<int>();
var p = sieve(n);
for (int i = 2; i <= n; i++) if (p[i]) prs.Add(i);
return prs;
}
public static long pow(long a, long b) {
a %= Mod;
if (a == 0) return 0;
if (b == 0) return 1;
var t = pow(a, b / 2);
if ((b & 1) == 0) return t * t % Mod;
return t * t % Mod * a % Mod;
}
public static long inv(long a) => pow(a, Mod - 2);
public static long gcd(long a, long b) {
while (b > 0) { var t = a % b; a = b; b = t; } return a;
}
// a x + b y = gcd(a, b)
public static long extgcd(long a, long b, out long x, out long y) {
long g = a; x = 1; y = 0;
if (b > 0) { g = extgcd(b, a % b, out y, out x); y -= a / b * x; }
return g;
}
public static long lcm(long a, long b) => a / gcd(a, b) * b;
static long[] facts, invs;
public static void setfacts(int n) {
facts = new long[n + 1];
facts[0] = 1;
for (int i = 1; i <= n; i++) facts[i] = facts[i - 1] * i % Mod;
invs = new long[n + 1];
invs[n] = inv(facts[n]);
for (int i = n; i > 0 ; i--) invs[i - 1] = invs[i] * i % Mod;
}
public static long comb(long n, long r) {
if (n < 0 || r < 0 || r > n) return 0;
if (facts != null && facts.Length > n) return facts[n] * invs[r] % Mod * invs[n - r] % Mod;
if (n - r < r) r = n - r;
long numer = 1, denom = 1;
for (long i = 0; i < r; i++) {
numer = numer * ((n - i) % Mod) % Mod;
denom = denom * ((i + 1) % Mod) % Mod;
}
return numer * inv(denom) % Mod;
}
public static long[][] getcombs(int n) {
var ret = new long[n + 1][];
for (int i = 0; i <= n; i++) {
ret[i] = new long[i + 1];
ret[i][0] = ret[i][i] = 1;
for (int j = 1; j < i; j++) ret[i][j] = (ret[i - 1][j - 1] + ret[i - 1][j]) % Mod;
}
return ret;
}
// nC0, nC2, ..., nCn
public static long[] getcomb(int n) {
var ret = new long[n + 1];
ret[0] = 1;
for (int i = 0; i < n; i++) ret[i + 1] = ret[i] * (n - i) % Mod * inv(i + 1) % Mod;
return ret;
}
public static bool nextPermutation<T>(IList<T> p) where T : struct, IComparable<T> {
for (int i = p.Count - 2; i >= 0; --i) {
if (p[i].CompareTo(p[i + 1]) < 0) {
for (int j = p.Count - 1; ; --j) {
if (p[j].CompareTo(p[i]) > 0) {
p.swap(i, j);
for(++i, j = p.Count - 1; i < j; ++i, --j)
p.swap(i, j);
return true;
}
}
}
}
return false;
}
public static bool nextPermutation<T>(IList<T> p, Comparison<T> compare) where T : struct {
for (int i = p.Count - 2; i >= 0; --i) {
if (compare(p[i], p[i + 1]) < 0) {
for (int j = p.Count - 1; ; --j) {
if (compare(p[j], p[i]) > 0) {
p.swap(i, j);
for (++i, j = p.Count - 1; i < j; ++i, --j)
p.swap(i, j);
return true;
}
}
}
}
return false;
}
}