#211234 (D) No.577 Prime Powerful Numbers

提出ソース
結果

問題	No.577 Prime Powerful Numbers
ユーザー	yosupot
提出日時	2017-10-23 04:01:28
言語	D (dmd 2.106.1)
結果	AC
実行時間	325 ms / 2,000 ms
コード長	10,732 bytes
コンパイル時間	797 ms
コンパイル使用メモリ	106,592 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-06-12 22:04:11
合計ジャッジ時間	2,067 ms
ジャッジサーバーID （参考情報）	judge3 / judge4
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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	5 ms 6,812 KB
testcase_01	AC	17 ms 6,940 KB
testcase_02	AC	2 ms 6,940 KB
testcase_03	AC	61 ms 6,940 KB
testcase_04	AC	11 ms 6,940 KB
testcase_05	AC	315 ms 6,944 KB
testcase_06	AC	25 ms 6,940 KB
testcase_07	AC	325 ms 6,940 KB
testcase_08	AC	64 ms 6,944 KB
testcase_09	AC	55 ms 6,944 KB
testcase_10	AC	1 ms 6,944 KB
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ソースコード

raw source code
/+ dub.sdl:
    name "A"
    dependency "dcomp" version=">=0.7.3"
+/

import std.stdio, std.algorithm, std.range, std.conv;
// import dcomp.foundation, dcomp.scanner, dcomp.numeric.primitive, dcomp.numeric.prime;
import std.math : pow;

bool ck2(long x) {
    import std.math;
    if (isPrime(x)) return true;
    foreach (i; 2..100) {
        long y = cast(long)(pow(x, 1.0/i) + 0.001);
        if (!isPrime(y)) continue;
        long z = 1;
        foreach (j; 0..i) z *= y;
        if (z == x) return true;
    }
    return false;
}

bool solve(long x) {
    if (x == 2) return false;
    if (x % 2 == 0) return true;
    long b = 2;
    while (b < x) {
        if (ck2(x-b)) return true;
        b *= 2;
    }
    return false;
}

int main() {
    Scanner sc = new Scanner(stdin);
//    Scanner sc = new Scanner(File("tests/Ain0.txt"));
    int q;
    sc.read(q);
    foreach (i; 0..q) {
        long x;
        sc.read(x);
        if (solve(x)) writeln("Yes");
        else writeln("No");
    }
    return 0;
}
/* IMPORT /home/yosupo/Program/dcomp/source/dcomp/numeric/primitive.d */
// module dcomp.numeric.primitive;

import std.traits;
import std.bigint;

 
Unqual!T pow(T, U)(T x, U n)
if (!isFloatingPoint!T && (isIntegral!U || is(U == BigInt))) {
    return pow(x, n, T(1));
}

 
Unqual!T pow(T, U, V)(T x, U n, V e)
if ((isIntegral!U || is(U == BigInt)) && is(Unqual!T == Unqual!V)) {
    Unqual!T b = x, v = e;
    Unqual!U m = n;
    while (m) {
        if (m & 1) v *= b;
        b *= b;
        m /= 2;
    }
    return v;
}

 


T powMod(T, U, V)(T x, U n, V md)
if (isIntegral!U || is(U == BigInt)) {
    T r = T(1);
    while (n) {
        if (n & 1) r = (r*x)%md;
        x = (x*x)%md;
        n >>= 1;
    }
    return r % md;
}

ulong ulongPowMod(U)(ulong x, U n, ulong md)
if (isIntegral!U || is(U == BigInt)) {
//     import dcomp.int128;
    ulong mul(ulong a, ulong b) {
        auto u = mul128(a, b);
        auto v = mul128(div128(u, md), md);
        return u[0] - v[0];
    }
    x %= md;
    ulong r = 1;
    while (n) {
        if (n & 1) {
            r = mul(r, x);
        }
        x = mul(x, x);
        n >>= 1;
    }
    return r % md;
}

 
T lcm(T)(in T a, in T b) {
    import std.numeric : gcd;
    return a / gcd(a,b) * b;
}

 
 

 
 
T[3] extGcd(T)(in T a, in T b) 
if (!isIntegral!T || isSigned!T)  
{
    if (b==0) {
        return [T(1), T(0), a];
    } else {
        auto e = extGcd(b, a%b);
        return [e[1], e[0]-a/b*e[1], e[2]];
    }
}

 
 
/* IMPORT /home/yosupo/Program/dcomp/source/dcomp/ldc/inline.d */
// module dcomp.ldc.inline;

version(LDC) {
    pragma(LDC_inline_ir)
        R inlineIR(string s, R, P...)(P);
}
/* IMPORT /home/yosupo/Program/dcomp/source/dcomp/scanner.d */
// module dcomp.scanner;

// import dcomp.array;

 
class Scanner {
    import std.stdio : File;
    import std.conv : to;
    import std.range : front, popFront, array, ElementType;
    import std.array : split;
    import std.traits : isSomeChar, isStaticArray, isArray; 
    import std.algorithm : map;
    File f;
    this(File f) {
        this.f = f;
    }
    char[512] lineBuf;
    char[] line;
    private bool succW() {
        import std.range.primitives : empty, front, popFront;
        import std.ascii : isWhite;
        while (!line.empty && line.front.isWhite) {
            line.popFront;
        }
        return !line.empty;
    }
    private bool succ() {
        import std.range.primitives : empty, front, popFront;
        import std.ascii : isWhite;
        while (true) {
            while (!line.empty && line.front.isWhite) {
                line.popFront;
            }
            if (!line.empty) break;
            line = lineBuf[];
            f.readln(line);
            if (!line.length) return false;
        }
        return true;
    }

    private bool readSingle(T)(ref T x) {
        import std.algorithm : findSplitBefore;
        import std.string : strip;
        import std.conv : parse;
        if (!succ()) return false;
        static if (isArray!T) {
            alias E = ElementType!T;
            static if (isSomeChar!E) {
                 
                 
                auto r = line.findSplitBefore(" ");
                x = r[0].strip.dup;
                line = r[1];
            } else static if (isStaticArray!T) {
                foreach (i; 0..T.length) {
                    bool f = succW();
                    assert(f);
                    x[i] = line.parse!E;
                }
            } else {
                FastAppender!(E[]) buf;
                while (succW()) {
                    buf ~= line.parse!E;
                }
                x = buf.data;
            }
        } else {
            x = line.parse!T;
        }
        return true;
    }
    int read(T, Args...)(ref T x, auto ref Args args) {
        if (!readSingle(x)) return 0;
        static if (args.length == 0) {
            return 1;
        } else {
            return 1 + read(args);
        }
    }
}


 
 

 
/* IMPORT /home/yosupo/Program/dcomp/source/dcomp/foundation.d */
// module dcomp.foundation;
 
static if (__VERSION__ <= 2070) {
    /*
    Copied by https://github.com/dlang/phobos/blob/master/std/algorithm/iteration.d
    Copyright: Andrei Alexandrescu 2008-.
    License: $(HTTP boost.org/LICENSE_1_0.txt, Boost License 1.0).
    */
    template fold(fun...) if (fun.length >= 1) {
        auto fold(R, S...)(R r, S seed) {
            import std.algorithm : reduce;
            static if (S.length < 2) {
                return reduce!fun(seed, r);
            } else {
                import std.typecons : tuple;
                return reduce!fun(tuple(seed), r);
            }
        }
    }
     
}
/* IMPORT /home/yosupo/Program/dcomp/source/dcomp/int128.d */
 

// module dcomp.int128;

// import dcomp.array;

version(LDC) {
//     import dcomp.ldc.inline;
}

version(LDC) version(X86_64) {
    version = LDC_IR;
}

 
ulong[2] mul128(ulong a, ulong b) {
    ulong[2] res;
    version(LDC_IR) {
        ulong upper, lower;
        inlineIR!(`
            %r0 = zext i64 %0 to i128 
            %r1 = zext i64 %1 to i128
            %r2 = mul i128 %r1, %r0
            %r3 = trunc i128 %r2 to i64
            %r4 = lshr i128 %r2, 64
            %r5 = trunc i128 %r4 to i64
            store i64 %r3, i64* %2
            store i64 %r5, i64* %3`, void)(a, b, &lower, &upper);
        return [lower, upper];
    } else version(D_InlineAsm_X86_64) {
        ulong upper, lower;
        asm {
            mov RAX, a;
            mul b;
            mov lower, RAX;
            mov upper, RDX;
        }
        return [lower, upper];
    } else {
        ulong B = 2UL^^32;
        ulong[2] a2 = [a % B, a / B];
        ulong[2] b2 = [b % B, b / B];
        ulong[4] c;
        foreach (i; 0..2) {
            foreach (j; 0..2) {
                c[i+j] += a2[i] * b2[j] % B;
                c[i+j+1] += a2[i] * b2[j] / B;
            }
        }
        foreach (i; 0..3) {
            c[i+1] += c[i] / B;
            c[i] %= B;
        }
        return [c[0] + c[1] * B, c[2] + c[3] * B];
    }
}

 

 
ulong div128(ulong[2] a, ulong b) {
    version(LDC_IR) {
        return inlineIR!(`
            %r0 = zext i64 %0 to i128
            %r1 = zext i64 %1 to i128
            %r2 = shl i128 %r1, 64
            %r3 = add i128 %r0, %r2
            %r4 = zext i64 %2 to i128
            %r5 = udiv i128 %r3, %r4
            %r6 = trunc i128 %r5 to i64
            ret i64 %r6`,ulong)(a[0], a[1], b);
    } else version(D_InlineAsm_X86_64) {
        ulong upper = a[1], lower = a[0];
        ulong res;
        asm {
            mov RDX, upper;
            mov RAX, lower;
            div b;
            mov res, RAX;
        }
        return res;
    } else {
        import std.bigint, std.conv;
        return (((BigInt(a[1]) << 64) + BigInt(a[0])) / BigInt(b)).to!string.to!ulong;
    }
}

 
/* IMPORT /home/yosupo/Program/dcomp/source/dcomp/array.d */
// module dcomp.array;

 
T[N] fixed(T, size_t N)(T[N] a) {return a;}

 
 

 
struct FastAppender(A, size_t MIN = 4) {
    import std.algorithm : max;
    import std.conv;
    import std.range.primitives : ElementEncodingType;
    import core.stdc.string : memcpy;

    private alias T = ElementEncodingType!A;
    private T* _data;
    private uint len, cap;
     
    @property size_t length() const {return len;}
    bool empty() const { return len == 0; }
     
    void reserve(size_t nlen) {
        import core.memory : GC;
        if (nlen <= cap) return;
        
        void* nx = GC.malloc(nlen * T.sizeof);

        cap = nlen.to!uint;
        if (len) memcpy(nx, _data, len * T.sizeof);
        _data = cast(T*)(nx);
    }
    void free() {
        import core.memory : GC;
        GC.free(_data);
    }
     
    void opOpAssign(string op : "~")(T item) {
        if (len == cap) {
            reserve(max(MIN, cap*2));
        }
        _data[len++] = item;
    }
     
    void insertBack(T item) {
        this ~= item;
    }
     
    void removeBack() {
        len--;
    }
     
    void clear() {
        len = 0;
    }
    ref inout(T) back() inout { assert(len); return _data[len-1]; }
    ref inout(T) opIndex(size_t i) inout { return _data[i]; }
     
    T[] data() {
        return (_data) ? _data[0..len] : null;
    }
}

 
 
/* IMPORT /home/yosupo/Program/dcomp/source/dcomp/numeric/prime.d */
// module dcomp.numeric.prime;

 
T[] divisorList(T)(T x) {
    import std.algorithm : sort;
    T[] res;
    for (T i = 1; i*i <= x; i++) {
        if (x%i == 0) {
            res ~= i;
            if (i*i != x) res ~= x/i;
        }
    }
    sort(res);
    return res;
}

 
 

 
T[] factorList(T)(T x) {
    T[] res;
    for (T i = 2; i*i <= x; i++) {
        while (x % i == 0) {
            res ~= i;
            x /= i;
        }
    }
    if (x > 1) res ~= x;
     
    return res;
}

 
 

// import dcomp.numeric.primitive;

bool isPrime(ulong n) {
    if (n <= 1) return false;
    if (n == 2) return true;
    if (n % 2 == 0) return false;
    long d = n-1;
    while (d % 2 == 0) d /= 2;
    ulong[] alist = [2,3,5,7,11,13,17,19,23,29,31,37];
    foreach (a; alist) {
        if (n <= a) break;
        long t = d;
        ulong y = ulongPowMod(a, t, n);
        while (t != n-1 && y != 1 && y != n-1) {
            y = ulongPowMod(y, 2, n);
            t <<= 1;
        }
        if (y != n-1 && t % 2 == 0) {
            return false;
        }
    }
    return true;
}

 
 

/*
This source code generated by dcomp and include dcomp's source code.
dcomp's Copyright: Copyright (c) 2016- Kohei Morita. (https://github.com/yosupo06/dcomp)
dcomp's License: MIT License(https://github.com/yosupo06/dcomp/blob/master/LICENSE.txt)
*/
yukicoder

結果

テストケース

ソースコード
