結果

問題 No.1260 たくさんの多項式
ユーザー KumaTachiRenKumaTachiRen
提出日時 2022-10-18 21:56:39
言語 C#
(.NET 8.0.203)
結果
AC  
実行時間 1,053 ms / 2,000 ms
コード長 8,266 bytes
コンパイル時間 10,039 ms
コンパイル使用メモリ 167,668 KB
実行使用メモリ 185,296 KB
最終ジャッジ日時 2024-06-29 04:16:33
合計ジャッジ時間 41,759 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
このコードへのチャレンジ
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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 42 ms
23,552 KB
testcase_01 AC 44 ms
23,424 KB
testcase_02 AC 44 ms
23,296 KB
testcase_03 AC 39 ms
23,296 KB
testcase_04 AC 40 ms
23,680 KB
testcase_05 AC 46 ms
23,552 KB
testcase_06 AC 41 ms
23,156 KB
testcase_07 AC 45 ms
23,424 KB
testcase_08 AC 45 ms
23,424 KB
testcase_09 AC 44 ms
23,424 KB
testcase_10 AC 48 ms
23,168 KB
testcase_11 AC 45 ms
23,424 KB
testcase_12 AC 47 ms
23,552 KB
testcase_13 AC 48 ms
23,424 KB
testcase_14 AC 46 ms
23,296 KB
testcase_15 AC 43 ms
23,168 KB
testcase_16 AC 39 ms
23,424 KB
testcase_17 AC 44 ms
23,296 KB
testcase_18 AC 48 ms
23,296 KB
testcase_19 AC 44 ms
23,552 KB
testcase_20 AC 1,031 ms
23,296 KB
testcase_21 AC 336 ms
23,296 KB
testcase_22 AC 926 ms
23,168 KB
testcase_23 AC 754 ms
23,168 KB
testcase_24 AC 771 ms
23,296 KB
testcase_25 AC 605 ms
23,168 KB
testcase_26 AC 730 ms
23,296 KB
testcase_27 AC 597 ms
23,168 KB
testcase_28 AC 1,009 ms
23,040 KB
testcase_29 AC 760 ms
23,164 KB
testcase_30 AC 487 ms
23,168 KB
testcase_31 AC 763 ms
23,168 KB
testcase_32 AC 751 ms
23,296 KB
testcase_33 AC 628 ms
23,168 KB
testcase_34 AC 981 ms
23,168 KB
testcase_35 AC 456 ms
23,168 KB
testcase_36 AC 416 ms
22,948 KB
testcase_37 AC 778 ms
23,168 KB
testcase_38 AC 827 ms
23,168 KB
testcase_39 AC 976 ms
23,040 KB
testcase_40 AC 763 ms
23,296 KB
testcase_41 AC 935 ms
23,168 KB
testcase_42 AC 703 ms
23,040 KB
testcase_43 AC 952 ms
23,168 KB
testcase_44 AC 640 ms
22,900 KB
testcase_45 AC 605 ms
23,168 KB
testcase_46 AC 561 ms
23,168 KB
testcase_47 AC 777 ms
22,900 KB
testcase_48 AC 176 ms
23,296 KB
testcase_49 AC 529 ms
23,296 KB
testcase_50 AC 294 ms
23,040 KB
testcase_51 AC 966 ms
23,168 KB
testcase_52 AC 357 ms
23,168 KB
testcase_53 AC 463 ms
23,164 KB
testcase_54 AC 1,002 ms
23,168 KB
testcase_55 AC 1,053 ms
23,168 KB
testcase_56 AC 499 ms
23,168 KB
testcase_57 AC 714 ms
23,040 KB
testcase_58 AC 458 ms
23,040 KB
testcase_59 AC 782 ms
23,036 KB
testcase_60 AC 1,051 ms
185,296 KB
権限があれば一括ダウンロードができます
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 (82 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

diff # 

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 static Functions;

using N = System.Int64;

static class Program
{
    static public void Main(string[] args)
    {
        Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
        var solver = new Solver();
        solver.Solve();
        Console.Out.Flush();
    }
}

public class Solver
{
    public void Solve()
    {
        long n = rl;
        long s = 0;
        while (s * s <= n) s++;
        s--;
        ModInt ans = 0;
        for (long d = 1; d < s; d++)
        {
            // d <= n/x < d + 1
            // n/(d+1)<x<=n/d
            long l = Floor(n, d + 1) + 1;
            long r = Floor(n, d);
            // [l, r]
            ans += new ModInt(r - l + 1) * (2 * d + n % l + n % r) / 2;
        }
        for (long x = Floor(n, s); x > 1; x--)
        {
            long y = n;
            while (y != 0)
            {
                ans += y % x;
                y /= x;
            }
        }
        Write(ans);
    }

    struct ModInt
    {
        private const long MOD = 1000000007;
        long Val;
        public ModInt(long v)
        {
            if (v < 0)
            {
                Val = v % MOD;
                if (Val < 0) Val += MOD;
            }
            else if (v >= MOD) Val = v % MOD;
            else Val = v;
        }
        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; }
        public static implicit operator ModInt(long n)
        {
            long r = n % MOD;
            return new ModInt(r < 0 ? r + MOD : r);
        }
        public static ModInt operator +(ModInt a, ModInt b)
        {
            long r = a.Val + b.Val;
            return new ModInt(r < MOD ? r : r - MOD);
        }
        public static ModInt operator -(ModInt a, ModInt b)
        {
            long r = a.Val - b.Val;
            return new ModInt(r < 0 ? r + MOD : r);
        }
        public static ModInt operator -(ModInt a) => new ModInt(a.Val == 0 ? 0 : MOD - a.Val);
        public static ModInt operator *(ModInt a, ModInt b) => new ModInt(a.Val * b.Val % MOD);
        public static ModInt operator /(ModInt a, ModInt b) => a * b.Inv;
        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);
        }
        public ModInt Inv { get => this.Pow(MOD - 2); }
    }



    const long inf = (long)1 << 60;
    int ri { get { return (int)sc.Integer(); } }
    long rl { get { return sc.Integer(); } }
    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 WriteMax(params long[] x) => Console.Write(x.Max());
    void WriteMin(params long[] x) => Console.Write(x.Min());
    void Write<T>(T t) { Console.WriteLine(t.ToString()); }
    void WriteFlush<T>(T t) { Console.WriteLine(t.ToString()); Console.Out.Flush(); }
    void WriteError<T>(T 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(long x)
    {
        x = x - ((x >> 1) & 0x5555555555555555);
        x = (x & 0x3333333333333333) + ((x >> 2) & 0x3333333333333333);
        x = (x + (x >> 4)) & 0x0f0f0f0f0f0f0f0f;
        x = x + (x >> 8);
        x = x + (x >> 16);
        x = x + (x >> 32);
        return (int)(x & 0x0000007f);
    }
    public static int Ctz(long x)
    {
        if (x == 0) return -1;
        return Popcount((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 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 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, S>(in T[] list, S val, Func<T, S, int> comp)
    {
        if (list.Length == 0) return -1;
        int l = 0, r = list.Length;
        while (l < r)
        {
            int x = (l + r) / 2;
            if (comp(list[x], val) < 0) l = x + 1;
            else r = x;
        }
        return l;
    }
    public static int LowerBound<T, S>(in List<T> list, S val, Func<T, S, int> comp)
    {
        if (list.Count == 0) return -1;
        int l = 0, r = list.Count;
        while (l < r)
        {
            int x = (l + r) / 2;
            if (comp(list[x], val) < 0) l = x + 1;
            else r = x;
        }
        return l;
    }
    public static int UpperBound<T, S>(in List<T> list, S val, Func<T, S, int> comp)
    {
        if (list.Count == 0) return 0;
        if (comp(list.Last(), val) < 0) return list.Count;
        int l = 0, r = list.Count;
        while (l < r)
        {
            int x = (l + r) / 2;
            if (comp(list[x], val) <= 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 double Double() { return double.Parse(Scan()); }
}
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