結果
| 問題 | No.125 悪の花弁 |
| ユーザー |
 KumaTachiRen
|
| 提出日時 | 2023-03-03 17:36:58 |
| 言語 | C# (.NET 8.0.203) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 11,632 bytes |
| コンパイル時間 | 8,639 ms |
| コンパイル使用メモリ | 168,572 KB |
| 実行使用メモリ | 62,448 KB |
| 最終ジャッジ日時 | 2024-09-17 22:07:09 |
| 合計ジャッジ時間 | 20,683 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge1 |
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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 | TLE | - |
| testcase_01 | -- | - |
| testcase_02 | -- | - |
| testcase_03 | -- | - |
| testcase_04 | -- | - |
| testcase_05 | -- | - |
コンパイルメッセージ
復元対象のプロジェクトを決定しています... /home/judge/data/code/main.csproj を復元しました (106 ms)。 MSBuild のバージョン 17.9.6+a4ecab324 (.NET) main -> /home/judge/data/code/bin/Release/net8.0/main.dll main -> /home/judge/data/code/bin/Release/net8.0/publish/
ソースコード
using System.Diagnostics;
using System;
using System.Linq;
using System.Numerics;
using System.Collections;
using System.Collections.Generic;
using System.IO;
using System.Text;
using System.Runtime.CompilerServices;
using static Functions;
static class Program
{
static public void Main(string[] args)
{
Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
new Solver();
Console.Out.Flush();
}
}
public class Solver
{
public Solver()
{
Solve();
}
void Solve()
{
int k = ri;
var c = new int[k];
for (int i = 0; i < k; i++) c[i] = ri;
int g = c[0];
for (int i = 0; i < k; i++) g = Gcd(g, c[i]);
var dp = new ModInt[g + 1];
int s = c.Sum();
var f = new ModFact(s);
for (int d = 1; d <= g; d++)
{
if (g % d != 0) continue;
dp[d] = f.Fact(s / d);
for (int i = 0; i < k; i++) dp[d] *= f.FactInv(c[i] / d);
}
for (int i = g; i > 0; i--)
for (int j = i * 2; j <= g; j++)
dp[i] -= dp[j];
ModInt ans = 0;
for (int i = 1; i <= g; i++) ans += dp[i] * f.Inv(s / i);
Write(ans);
}
const long INF = 1L << 60;
int ri { get { return (int)sc.Integer(); } }
long rl { get { return sc.Integer(); } }
ulong rul { get { return sc.UInteger(); } }
double rd { get { return sc.Double(); } }
string rs { get { return sc.Scan(); } }
string rline { get { return sc.Line(); } }
public StreamScanner sc = new StreamScanner(Console.OpenStandardInput());
T[] RepArray<T>(T t, int count) => Enumerable.Repeat(t, count).ToArray();
void WriteJoin<T>(string s, IEnumerable<T> t) { Console.WriteLine(string.Join(s, t)); }
void WriteMat<T>(T[,] a)
{
int sz1 = a.GetLength(0);
int sz2 = a.GetLength(1);
for (int i = 0; i < sz1; i++)
{
var s = new List<string>();
for (int j = 0; j < sz2; j++) s.Add(a[i, j].ToString());
WriteJoin(" ", s);
}
}
void WriteMax(params long[] x) => Console.WriteLine(x.Max());
void WriteMin(params long[] x) => Console.WriteLine(x.Min());
void Write(object t) => Console.WriteLine(t.ToString());
void Write(string str, object arg1) => Console.WriteLine(str, arg1);
void Write(string str, object arg1, object arg2) => Console.WriteLine(str, arg1, arg2);
void Write(string str, object arg1, object arg2, object arg3) => Console.WriteLine(str, arg1, arg2, arg3);
void Write(string str, params object[] arg) => Console.WriteLine(str, arg);
void WriteFlush(object t) { Console.WriteLine(t.ToString()); Console.Out.Flush(); }
void WriteError(object t) { Console.Error.WriteLine(t.ToString()); }
void YN(bool t) { Console.WriteLine(t ? "YES" : "NO"); }
void Yn(bool t) { Console.WriteLine(t ? "Yes" : "No"); }
void yn(bool t) { Console.WriteLine(t ? "yes" : "no"); }
}
public static class Functions
{
public static int Popcount(ulong x)
{
x = (x & 0x5555555555555555UL) + ((x >> 1) & 0x5555555555555555UL);
x = (x & 0x3333333333333333UL) + ((x >> 2) & 0x3333333333333333UL);
x = (x & 0x0f0f0f0f0f0f0f0fUL) + ((x >> 4) & 0x0f0f0f0f0f0f0f0fUL);
x = (x & 0x00ff00ff00ff00ffUL) + ((x >> 8) & 0x00ff00ff00ff00ffUL);
x = (x & 0x0000ffff0000ffffUL) + ((x >> 16) & 0x0000ffff0000ffffUL);
x = (x & 0x00000000ffffffffUL) + ((x >> 32) & 0x00000000ffffffffUL);
return (int)x;
}
public static int Popcount(int x)
{
x = (x & 0x55555555) + ((x >> 1) & 0x55555555);
x = (x & 0x33333333) + ((x >> 2) & 0x33333333);
x = (x & 0x0f0f0f0f) + ((x >> 4) & 0x0f0f0f0f);
x = (x & 0x00ff00ff) + ((x >> 8) & 0x00ff00ff);
x = (x & 0x0000ffff) + ((x >> 16) & 0x0000ffff);
return x;
}
public static int Ctz(long x)
{
if (x == 0) return -1;
return Popcount((ulong)((x & -x) - 1));
}
public static int SafeMod(int x, int m)
{
int r = x % m;
return r < 0 ? r + m : r;
}
public static long SafeMod(long x, long m)
{
long r = x % m;
return r < 0 ? r + m : r;
}
public static int Sign(long x) => x == 0 ? 0 : (x < 0 ? -1 : 1);
public static int DigitSum(long n, int d = 10) { long s = 0; while (n > 0) { s += n % d; n /= d; } return (int)s; }
public static long Floor(long a, long b) => a >= 0 ? a / b : (a + 1) / b - 1;
public static long Ceil(long a, long b) => a > 0 ? (a - 1) / b + 1 : a / b;
public static int Gcd(int a, int b) => b == 0 ? a : Gcd(b, a % b);
public static long Gcd(long a, long b) => b == 0 ? a : Gcd(b, a % b);
public static void Swap(ref int x, ref int y) { x ^= y; y ^= x; x ^= y; }
public static void Swap(ref long x, ref long y) { x ^= y; y ^= x; x ^= y; }
public static void Swap<T>(ref T x, ref T y) { T t = y; y = x; x = t; }
public static T Clamp<T>(T x, T l, T r) where T : IComparable<T> => x.CompareTo(l) <= 0 ? l : (x.CompareTo(r) <= 0 ? x : r);
public static T Clamp<T>(ref T x, T l, T r) where T : IComparable<T> => x = x.CompareTo(l) <= 0 ? l : (x.CompareTo(r) <= 0 ? x : r);
public static void Chmin<T>(ref T x, T y) where T : IComparable<T> { if (x.CompareTo(y) > 0) x = y; }
public static void Chmax<T>(ref T x, T y) where T : IComparable<T> { if (x.CompareTo(y) < 0) x = y; }
public static int LowerBound<T>(in T[] arr, Func<T, int> comp, int l = -1, int r = -1)
{
if (arr.Length == 0) return -1;
if (l == -1) l = 0;
if (r == -1) r = arr.Length;
while (l < r)
{
int x = (l + r) / 2;
if (comp(arr[x]) < 0) l = x + 1;
else r = x;
}
return l;
}
public static int LowerBound<T>(in List<T> list, Func<T, int> comp, int l = -1, int r = -1)
{
if (list.Count == 0) return -1;
if (l == -1) l = 0;
if (r == -1) r = list.Count;
while (l < r)
{
int x = (l + r) / 2;
if (comp(list[x]) < 0) l = x + 1;
else r = x;
}
return l;
}
}
public class StreamScanner
{
public StreamScanner(Stream stream) { str = stream; }
private readonly Stream str;
private readonly byte[] buf = new byte[1024];
private int len, ptr;
public bool isEof = false;
public bool IsEndOfStream { get { return isEof; } }
private byte read()
{
if (isEof) throw new EndOfStreamException();
if (ptr >= len)
{
ptr = 0;
if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; }
}
return buf[ptr++];
}
public char Char()
{
byte b = 0;
do b = read();
while (b < 33 || 126 < b);
return (char)b;
}
public string Line()
{
var sb = new StringBuilder();
for (var b = Char(); b != 10 && !isEof; b = (char)read()) sb.Append(b);
return sb.ToString();
}
public string Scan()
{
var sb = new StringBuilder();
for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b);
return sb.ToString();
}
public long Integer()
{
long ret = 0; byte b = 0; var ng = false;
do b = read();
while (b != '-' && (b < '0' || '9' < b));
if (b == '-') { ng = true; b = read(); }
for (; true; b = read())
{
if (b < '0' || '9' < b) return ng ? -ret : ret;
else ret = ret * 10 + b - '0';
}
}
public ulong UInteger()
{
ulong ret = 0; byte b = 0;
do b = read();
while (b < '0' || '9' < b);
for (; true; b = read())
{
if (b < '0' || '9' < b) return ret;
else ret = ret * 10 + b - '0';
}
}
public double Double() { return double.Parse(Scan()); }
}
struct ModInt
{
public static long MOD = 998244353;
public long Val { get; private set; }
public ModInt(long v) { Val = SafeMod(v, MOD); }
public override string ToString() { return Val.ToString(); }
public override bool Equals(object obj) => obj is ModInt other && this.Equals(other);
public bool Equals(ModInt x) => Val == x.Val;
public override int GetHashCode() => Val.GetHashCode();
public static bool operator ==(ModInt a, ModInt b) { return a.Val == b.Val; }
public static bool operator !=(ModInt a, ModInt b) { return a.Val != b.Val; }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static implicit operator ModInt(long n) => new ModInt(SafeMod(n, MOD));
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static ModInt operator +(ModInt a, ModInt b)
{
long r = a.Val + b.Val;
return new ModInt(r < MOD ? r : r - MOD);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static ModInt operator -(ModInt a, ModInt b)
{
long r = a.Val - b.Val;
return new ModInt(r < 0 ? r + MOD : r);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static ModInt operator -(ModInt a) => new ModInt(a.Val == 0 ? 0 : MOD - a.Val);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static ModInt operator *(ModInt a, ModInt b) => new ModInt(a.Val * b.Val % MOD);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static ModInt operator /(ModInt a, ModInt b) => a * b.Inv();
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public ModInt Pow(long n)
{
long t = Val, r = 1;
while (n > 0)
{
if ((n & 1) == 1) r = r * t % MOD;
t = t * t % MOD;
n >>= 1;
}
return new ModInt(r);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public ModInt Inv() => Gcd(Val, MOD).x;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private static (long x, long y, long g) Gcd(long a, long b)
{
if (b == 0) return a >= 0 ? (1, 0, a) : (-1, 0, -a);
long c = a % b;
if (c < 0) c += b;
var r = Gcd(b, c);
long x = SafeMod(r.y, b);
long g = r.g;
long y = (g - a * x) / b;
return (x, y, g);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private static long SafeMod(long x, long m)
{
long r = x % m;
return r < 0 ? r + m : r;
}
}
class ModFact
{
ModInt[] fact;
ModInt[] factinv;
ModInt[] inv;
public ModFact(long n)
{
fact = new ModInt[n + 1];
factinv = new ModInt[n + 1];
inv = new ModInt[n + 1];
fact[0] = 1;
for (long i = 0; i < n; i++) fact[i + 1] = fact[i] * (i + 1);
factinv[n] = fact[n].Inv();
for (long i = n; i > 0; i--) factinv[i - 1] = factinv[i] * i;
for (long i = 1; i <= n; i++) inv[i] = fact[i - 1] * factinv[i];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public ModInt Fact(long n) => fact[n];
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public ModInt FactInv(long n) => factinv[n];
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public ModInt Inv(long n)
{
if (n == 0) throw new DivideByZeroException();
return inv[n];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public ModInt Binom(long n, long k)
{
if (n < 0) return 0;
if (n == 0) return k == 0 ? 1 : 0;
return 0 <= k && k <= n ? fact[n] * factinv[k] * factinv[n - k] : 0;
}
}