結果

問題 No.1648 Sum of Powers
ユーザー りあんりあん
提出日時 2021-08-13 22:47:21
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 183 ms / 2,000 ms
コード長 14,058 bytes
コンパイル時間 5,513 ms
コンパイル使用メモリ 122,968 KB
実行使用メモリ 38,972 KB
最終ジャッジ日時 2024-10-03 21:11:41
合計ジャッジ時間 16,614 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge5
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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 155 ms
35,252 KB
testcase_01 AC 54 ms
29,768 KB
testcase_02 AC 157 ms
35,004 KB
testcase_03 AC 158 ms
36,912 KB
testcase_04 AC 161 ms
37,164 KB
testcase_05 AC 162 ms
33,216 KB
testcase_06 AC 155 ms
35,124 KB
testcase_07 AC 159 ms
37,044 KB
testcase_08 AC 158 ms
35,128 KB
testcase_09 AC 157 ms
37,304 KB
testcase_10 AC 159 ms
37,048 KB
testcase_11 AC 158 ms
35,008 KB
testcase_12 AC 167 ms
35,256 KB
testcase_13 AC 156 ms
37,168 KB
testcase_14 AC 157 ms
35,264 KB
testcase_15 AC 159 ms
37,040 KB
testcase_16 AC 160 ms
37,288 KB
testcase_17 AC 157 ms
34,872 KB
testcase_18 AC 153 ms
37,288 KB
testcase_19 AC 155 ms
33,080 KB
testcase_20 AC 153 ms
37,172 KB
testcase_21 AC 153 ms
34,616 KB
testcase_22 AC 155 ms
35,132 KB
testcase_23 AC 154 ms
35,120 KB
testcase_24 AC 154 ms
33,096 KB
testcase_25 AC 160 ms
36,916 KB
testcase_26 AC 159 ms
35,000 KB
testcase_27 AC 160 ms
35,124 KB
testcase_28 AC 163 ms
38,972 KB
testcase_29 AC 158 ms
37,184 KB
testcase_30 AC 160 ms
37,176 KB
testcase_31 AC 164 ms
35,256 KB
testcase_32 AC 163 ms
37,160 KB
testcase_33 AC 160 ms
37,040 KB
testcase_34 AC 159 ms
35,120 KB
testcase_35 AC 158 ms
37,300 KB
testcase_36 AC 156 ms
35,000 KB
testcase_37 AC 176 ms
35,140 KB
testcase_38 AC 171 ms
35,264 KB
testcase_39 AC 183 ms
37,196 KB
testcase_40 AC 163 ms
37,168 KB
testcase_41 AC 179 ms
37,032 KB
testcase_42 AC 167 ms
37,044 KB
testcase_43 AC 163 ms
35,000 KB
testcase_44 AC 161 ms
34,980 KB
testcase_45 AC 159 ms
36,924 KB
testcase_46 AC 166 ms
35,124 KB
testcase_47 AC 159 ms
32,956 KB
testcase_48 AC 55 ms
31,800 KB
testcase_49 AC 159 ms
37,176 KB
testcase_50 AC 161 ms
35,248 KB
testcase_51 AC 57 ms
31,944 KB
testcase_52 AC 157 ms
34,996 KB
testcase_53 AC 156 ms
37,044 KB
testcase_54 AC 158 ms
34,988 KB
testcase_55 AC 161 ms
37,168 KB
testcase_56 AC 164 ms
37,304 KB
testcase_57 AC 54 ms
27,824 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
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

diff # 

using System;
using System.Collections.Generic;
using System.Linq;
using System.IO;
using System.Threading;
using System.Text;
using System.Text.RegularExpressions;
using System.Diagnostics;
using static util;
using P = pair<int, int>;

class Program {
    static void Main(string[] args) {
        var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
        var solver = new Solver(sw);
        // var t = new Thread(solver.solve, 1 << 28); // 256 MB
        // t.Start();
        // t.Join();
        solver.solve();
        sw.Flush();
    }
}

class Solver {
    StreamWriter sw;
    Scan sc;
    void Prt(string a) => sw.WriteLine(a);
    void Prt<T>(IEnumerable<T> a) => Prt(string.Join(" ", a));
    void Prt(params object[] a) => Prt(string.Join(" ", a));
    public Solver(StreamWriter sw) {
        this.sw = sw;
        this.sc = new Scan();
    }

    public void solve() {
        long A, B, P, Q;
        sc.Multi(out A, out B, out P, out Q);
        var mat = new long[][]{ new long[]{ A, (M - B) % M }, new long[]{ 1, 0 } };
        long H = 100003;
        var baby = new SortedDictionary<long, long>();
        {
            var p = new pair<long, long>(P, Q);
            for (long b = 0; b < H; b++) {
                long hs = p.v1 * M + p.v2;
                if (!baby.ContainsKey(hs))
                    baby.Add(hs, b);
                else
                    baby[hs] = b;

                p = new pair<long, long>((p.v1 * mat[0][0] + p.v2 * mat[0][1]) % M, (p.v1 * mat[1][0] + p.v2 * mat[1][1]) % M);
            }
        }
        {
            var mp = new long[][]{ new long[]{ 1, 0 }, new long[]{ 0, 1 } };
            for (int i = 0; i < H; ++i) {
                var nex = new long[2][];
                nex[0] = new long[2];
                nex[1] = new long[2];
                nex[0][0] = (mp[0][0] * mat[0][0] + mp[0][1] * mat[1][0]) % M;
                nex[0][1] = (mp[0][0] * mat[0][1] + mp[0][1] * mat[1][1]) % M;
                nex[1][0] = (mp[1][0] * mat[0][0] + mp[1][1] * mat[1][0]) % M;
                nex[1][1] = (mp[1][0] * mat[0][1] + mp[1][1] * mat[1][1]) % M;
                mp = nex;
            }
            var p = new pair<long, long>(A, 2);
            for (long a = 1; a <= H; a++) {
                p = new pair<long, long>((p.v1 * mp[0][0] + p.v2 * mp[0][1]) % M, (p.v1 * mp[1][0] + p.v2 * mp[1][1]) % M);
                long hs = p.v1 * M + p.v2;
                if (baby.ContainsKey(hs)) {
                    Prt(a * H - baby[hs] + 1);
                    return;
                }
            }
        }
        Prt(-1);
    }
}

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; }
}
static class util {
    // public static readonly int M = 1000000007;
    public static readonly int M = 998244353;
    public static readonly long LM = 1L << 60;
    public static readonly double eps = 1e-11;
    public static void DBG(string a) => Console.Error.WriteLine(a);
    public static void DBG<T>(IEnumerable<T> a) => DBG(string.Join(" ", a));
    public static void DBG(params object[] a) => DBG(string.Join(" ", a));
    public static void Assert(params bool[] conds) {
        if (conds.Any(x => !x)) throw new Exception();
    }
    public static pair<T, U> make_pair<T, U>(T v1, U v2) => new pair<T, U>(v1, v2);
    public static int CompareList<T>(IList<T> a, IList<T> b) where T : IComparable<T> {
        for (int i = 0; i < a.Count && i < b.Count; i++)
            if (a[i].CompareTo(b[i]) != 0) return a[i].CompareTo(b[i]);
        return a.Count.CompareTo(b.Count);
    }
    public static bool inside(int i, int j, int h, int w) => i >= 0 && i < h && j >= 0 && j < w;
    public static readonly int[] dd = { 0, 1, 0, -1 };
    // static readonly string dstring = "RDLU";
    public static IEnumerable<P> adjacents(int i, int j) {
        for (int k = 0; k < 4; k++) yield return new P(i + dd[k], j + dd[k ^ 1]);
    }
    public static IEnumerable<P> adjacents(int i, int j, int h, int w) {
        for (int k = 0; k < 4; k++) if (inside(i + dd[k], j + dd[k ^ 1], h, w))
            yield return new P(i + dd[k], j + dd[k ^ 1]);
    }
    public static IEnumerable<P> adjacents(this P p) => adjacents(p.v1, p.v2);
    public static IEnumerable<P> adjacents(this P p, int h, int w) => adjacents(p.v1, p.v2, h, w);
    public static IEnumerable<int> all_subset(this int p) {
        for (int i = 0; ; i = i - p & p) {
            yield return i;
            if (i == p) break;
        }
    }
    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.SelectMany(x => x));
    public static T[] inv<T>(this Dictionary<T, int> dic) {
        var res = new T[dic.Count];
        foreach (var item in dic) res[item.Value] = item.Key;
        return res;
    }
    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;
    }
}

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 => ReadLine.Trim();
    public string ReadLine => sr.ReadLine();
    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]);
    }
    public void Multi<T, U, V, W, X, Y>(out T a, out U b, out V c, out W d, out X e, out Y f) {
        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]); f = cv<Y>(ar[5]);
    }
}

static class MyMath {
    public static long Mod = util.M;
    // 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 int[] sieve2(int n) {
        var p = new int[n + 1];
        for (int i = 2; i <= n; i++) p[i] = i;
        for (int i = 2; i * i <= n; i++) {
            if (p[i] == i)
                for (int j = i * i; j <= n; j += i)
                    p[j] = Math.Min(p[j], i);
        }
        return p;
    }
    public static bool[] segmentSieve(long l, long r) {
        int sqn = (int)Math.Sqrt(r + 9);
        var ps = getprimes(sqn);
        return segmentSieve(l, r,ps);
    }
    public static bool[] segmentSieve(long l, long r, List<int> ps) {
        var sieve = new bool[r - l + 1];
        for (long i = l; i <= r; i++) sieve[i - l] = true;
        foreach (long p in ps) {
            if (p * p > r) break;
            for (long i = p >= l ? p * p : (l + p - 1) / p * p; i <= r; i += p) sieve[i - l] = false;
        }
        return sieve;
    }
    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, long mod) {
        a %= mod;
        if (b < 0) Console.Error.WriteLine($"power number is negative ({a}^{b}).");
        if (b <= 0) return 1;
        var t = pow(a, b / 2, mod);
        if ((b & 1) == 0) return t * t % mod;
        return t * t % mod * a % mod;
    }
    public static long pow(long a, long b) => pow(a, b, 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;
    }

    // return (r, m): x = r (mod. m)
    // return (0, -1) if no answer
    public static pair<long, long> chineserem(IList<long> b, IList<long> m) {
        long r = 0, M = 1;
        for (int i = 0; i < b.Count; ++i) {
            long p, q;
            long d = extgcd(M, m[i], out p, out q); // p is inv of M/d (mod. m[i]/d)
            if ((b[i] - r) % d != 0) return new pair<long, long>(0, -1);
            long tmp = (b[i] - r) / d * p % (m[i]/d);
            r += M * tmp;
            M *= m[i]/d;
        }
        return new pair<long, long>((r % M + M) % M, M);
    }

    // return k: x^k = y (mod. mod) O(sqrt(mod))
    public static long modlog(long x, long y, long mod) {
        if (y == 1) return 0;
        long H = (long)Math.Sqrt(mod) + 1;
        var baby = new Dictionary<long, long>();
        for (long b = 0, xby = y; b < H; b++, xby = (xby * x) % mod) {
            if (!baby.ContainsKey(xby))
                baby.Add(xby, b);
            else
                baby[xby] = b;
        }

        long xH = 1;
        for (int i = 0; i < H; ++i) xH = xH * x % mod;
        for (long a = 1, xaH = xH; a <= H; a++, xaH = (xaH * xH) % mod)
            if (baby.ContainsKey(xaH))
                return a * H - baby[xaH];

        return -1;
    }
    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 fact(long n) {
        if (n < 0) return 0;
        if (facts != null && facts.Length > n) return facts[n];
        long numer = 1;
        for (long i = 1; i <= n; i++) numer = numer * (i % Mod) % Mod;
        return numer;
    }
    public static long perm(long n, long r) {
        if (n < 0 || r < 0 || r > n) return 0;
        if (facts != null && facts.Length > n) return facts[n] * invs[n - r] % Mod;
        long numer = 1;
        for (long i = 0; i < r; i++) numer = numer * ((n - i) % Mod) % Mod;
        return numer;
    }
    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 multi_choose(long n, long r) {
        if (n == 0 && r == 0) return 1;
        else return comb(n + r - 1, r);
    }
    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;
        if (facts == null || facts.Length <= n) setfacts(n);
        var res = new long[n + 1];
        for (int i = 0; i < n + 1; i++) res[i] = comb(n, i);
        return res;
    }
}
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