結果
問題 | No.2262 Fractions |
ユーザー |
|
提出日時 | 2023-04-07 22:23:28 |
言語 | C# (.NET 8.0.404) |
結果 |
TLE
|
実行時間 | - |
コード長 | 10,184 bytes |
コンパイル時間 | 8,510 ms |
コンパイル使用メモリ | 168,596 KB |
実行使用メモリ | 40,576 KB |
最終ジャッジ日時 | 2024-10-02 19:52:16 |
合計ジャッジ時間 | 31,424 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge1 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 1 |
other | AC * 18 TLE * 6 -- * 21 |
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 (85 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;using System.Collections;using System.Collections.Generic;using System.Diagnostics;using System.Diagnostics.Contracts;using System.IO;using System.Linq;using System.Numerics;using System.Runtime.CompilerServices;using System.Runtime.InteropServices;using System.Text;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(){int t = ri;for (int i = 0; i < t; i++) Solve();}void Solve(){long n = ri;long k = rl;var dp = new long[n + 1];long tot = 0;{for (int i = 1; i <= n; i++) dp[i] = Floor(n, i) * Floor(n, i);for (long i = n; i >= 1; i--)for (long j = i * 2; j <= n; j += i)dp[i] -= dp[j];if (dp[1] < k){Write(-1);return;}tot = dp[1];}if (k == (tot + 1) / 2){Write($"1/1");return;}bool inv = false;if (k > (tot + 1) / 2){k = tot - k + 1;inv = true;}{long l = 0, r = (long)n * n;while (r - l > 1){long x = (l + r) / 2;for (int i = 1; i <= n; i++){dp[i] = 0;for (int a = i; a <= n; a += i)dp[i] += Math.Min(n, a * x / (n * n)) / i;}for (long i = n; i >= 1; i--)for (long j = i * 2; j <= n; j += i)dp[i] -= dp[j];if (dp[1] < k) l = x;else r = x;}for (long a = 1; a <= n; a++){long x = a * l / n / n + 1;long y = a * r / n / n;if (x == y){if (!inv) Write($"{y}/{a}");else Write($"{a}/{y}");return;}}}}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());[MethodImpl(MethodImplOptions.AggressiveInlining)]T[] RepArray<T>(T t, int count) => Enumerable.Repeat(t, count).ToArray();[MethodImpl(MethodImplOptions.AggressiveInlining)]void WriteJoin<T>(string s, IEnumerable<T> t) => Console.WriteLine(string.Join(s, t));[MethodImpl(MethodImplOptions.AggressiveInlining)]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);}}[MethodImpl(MethodImplOptions.AggressiveInlining)]void Write(object t) => Console.WriteLine(t.ToString());[MethodImpl(MethodImplOptions.AggressiveInlining)]void Write(string str) => Console.WriteLine(str);[MethodImpl(MethodImplOptions.AggressiveInlining)]void Write(string str, object arg1) => Console.WriteLine(str, arg1);[MethodImpl(MethodImplOptions.AggressiveInlining)]void Write(string str, object arg1, object arg2) => Console.WriteLine(str, arg1, arg2);[MethodImpl(MethodImplOptions.AggressiveInlining)]void Write(string str, object arg1, object arg2, object arg3) => Console.WriteLine(str, arg1, arg2, arg3);[MethodImpl(MethodImplOptions.AggressiveInlining)]void Write(string str, params object[] arg) => Console.WriteLine(str, arg);[MethodImpl(MethodImplOptions.AggressiveInlining)]void WriteFlush(object t){ Console.WriteLine(t.ToString()); Console.Out.Flush(); }[MethodImpl(MethodImplOptions.AggressiveInlining)]void WriteError(object t) => Console.Error.WriteLine(t.ToString());[MethodImpl(MethodImplOptions.AggressiveInlining)]void YN(bool t) => Console.WriteLine(t ? "YES" : "NO");[MethodImpl(MethodImplOptions.AggressiveInlining)]void Yn(bool t) => Console.WriteLine(t ? "Yes" : "No");[MethodImpl(MethodImplOptions.AggressiveInlining)]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;}[MethodImpl(MethodImplOptions.AggressiveInlining)] public static int Sign(long x) => x == 0 ? 0 : (x < 0 ? -1 : 1);[MethodImpl(MethodImplOptions.AggressiveInlining)] public static int DigitSum(long n, int d = 10) { long s = 0; while (n > 0) { s += n % d; n /=d; } return (int)s; }[MethodImpl(MethodImplOptions.AggressiveInlining)] public static long Floor(long a, long b) => a >= 0 ? a / b : (a + 1) / b - 1;[MethodImpl(MethodImplOptions.AggressiveInlining)] public static long Ceil(long a, long b) => a > 0 ? (a - 1) / b + 1 : a / b;[MethodImpl(MethodImplOptions.AggressiveInlining)] public static int Gcd(int a, int b) => b == 0 ? a : Gcd(b, a % b);[MethodImpl(MethodImplOptions.AggressiveInlining)] public static long Gcd(long a, long b) => b == 0 ? a : Gcd(b, a % b);[MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Swap(ref int x, ref int y) { x ^= y; y ^= x; x ^= y; }[MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Swap(ref long x, ref long y) { x ^= y; y ^= x; x ^= y; }[MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Swap<T>(ref T x, ref T y) { T t = y; y = x; x = t; }[MethodImpl(MethodImplOptions.AggressiveInlining)] 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);[MethodImpl(MethodImplOptions.AggressiveInlining)] 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);[MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Chmin<T>(ref T x, T y) where T : IComparable<T> { if (x.CompareTo(y) > 0) x= y; }[MethodImpl(MethodImplOptions.AggressiveInlining)] 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>(T[] arr, Func<T, int> comp, int l = -1, int r = -1) => LowerBound<T>(arr.AsSpan<T>(), comp, l, r);public static int LowerBound<T>(Span<T> data, Func<T, int> comp, int l = -1, int r = -1){if (data.Length == 0) return -1;if (l == -1) l = 0;if (r == -1) r = data.Length;while (l < r){int x = (l + r) / 2;if (comp(data[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()); }}