Submission #3511107


Source Code Expand

#define _CRT_SECURE_NO_WARNINGS
#include <string>
#include <vector>
#include <algorithm>
#include <numeric>
#include <set>
#include <map>
#include <queue>
#include <iostream>
#include <sstream>
#include <cstdio>
#include <cmath>
#include <ctime>
#include <cstring>
#include <cctype>
#include <list>
#include <cassert>
#include <csetjmp>
#define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i))
#define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i))
#define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i))
#if defined(_MSC_VER) || __cplusplus > 199711L
#define aut(r,v) auto r = (v)
#else
#define aut(r,v) typeof(v) r = (v)
#endif
#define each(it,o) for(aut(it, (o).begin()); it != (o).end(); ++ it)
#define all(o) (o).begin(), (o).end()
#define pb(x) push_back(x)
#define mp(x,y) make_pair((x),(y))
#define mset(m,v) memset(m,v,sizeof(m))
#define INF 0x3f3f3f3f
#define INFL 0x3f3f3f3f3f3f3f3fLL
#define EPS 1e-9
using namespace std;
typedef vector<int> vi; typedef pair<int,int> pii; typedef vector<pair<int,int> > vpii;
typedef long long ll; typedef vector<long long> vl; typedef pair<long long,long long> pll; typedef vector<pair<long long,long long> > vpll;
typedef vector<string> vs; typedef long double ld;
template<typename T, typename U> inline void amin(T &x, U y) { if(x > y) x = y; }
template<typename T, typename U> inline void amax(T &x, U y) { if(x < y) x = y; }

vector<bool> isprime;
vector<int> primes;
void sieve(int n){
	if((int)isprime.size() >= n+1) return;
	isprime.assign(n+1, true);
	isprime[0] = isprime[1] = false;
	int sqrtn = (int)(sqrt(n * 1.) + .5);
	for(int i = 2; i <= sqrtn; i ++) if(isprime[i]) {
		for(int j = i * i; j <= n; j += i)
			isprime[j] = false;
	}
	primes.clear();
	for(int i = 2; i <= n; i ++) if(isprime[i])
		primes.push_back(i);
}

void primeFactors(int x, vector<pair<int,int> > &out_v) {
	out_v.clear();
	int sqrtx = (int)(sqrt(x*1.) + 10.5);
	sieve(sqrtx);
	each(p, primes) {
		if(*p > sqrtx) break;
		if(x % *p == 0) {
			int t = 1;
			x /= *p;
			while(x % *p == 0) {
				t ++;
				x /= *p;
			}
			out_v.push_back(make_pair(*p, t));
		}
	}
	if(x != 1) out_v.push_back(make_pair(x, 1));
}

template<int MOD>
struct ModInt {
	static const int Mod = MOD;
	int x;
	ModInt(): x(0) { }
	ModInt(signed sig) { if((x = sig % MOD + MOD) >= MOD) x -= MOD; }
	ModInt(signed long long sig) { if((x = sig % MOD + MOD) >= MOD) x -= MOD; }
	int get() const { return x; }
	
	ModInt &operator+=(ModInt that) { if((x += that.x) >= MOD) x -= MOD; return *this; }
	ModInt &operator-=(ModInt that) { if((x += MOD - that.x) >= MOD) x -= MOD; return *this; }
	ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; }
	ModInt &operator/=(ModInt that) { return *this *= that.inverse(); }
	
	ModInt operator+(ModInt that) const { return ModInt(*this) += that; }
	ModInt operator-(ModInt that) const { return ModInt(*this) -= that; }
	ModInt operator*(ModInt that) const { return ModInt(*this) *= that; }
	ModInt operator/(ModInt that) const { return ModInt(*this) /= that; }
	
	ModInt inverse() const {
		long long a = x, b = MOD, u = 1, v = 0;
		while(b) {
			long long t = a / b;
			a -= t * b; std::swap(a, b);
			u -= t * v; std::swap(u, v);
		}
		return ModInt(u);
	}
};
template<int MOD> ModInt<MOD> operator^(ModInt<MOD> a, unsigned long long k) {
	ModInt<MOD> r = 1;
	while(k) {
		if(k & 1) r *= a;
		a *= a;
		k >>= 1;
	}
	return r;
}

typedef ModInt<1000000007> mint;

vector<mint> factinv;
void nCr_smallR_computeFactinv(int N) {
	factinv.resize(N+1);
	mint fact = 1;
	rer(i, 1, N) fact *= i;
	factinv[N] = fact.inverse();
	for(int i = N; i >= 1; i --) factinv[i-1] = factinv[i] * i;
}
mint nCr_smallR(int n, int r) {
	mint x = 1;
	rep(i, r)
		x *= n-i;
	x *= factinv[r];
	return x;
}

int main() {
	nCr_smallR_computeFactinv(30);

	int N, M;
	scanf("%d%d", &N, &M);
	N = abs(N);
	vector<pair<int,int> > factors;
	primeFactors(N, factors);
	vector<mint> partitions(31);
	rer(i, 0, 30) partitions[i] = nCr_smallR(i+M-1, i);
	mint ans = 1;
	each(i, factors) ans *= partitions[i->second];
	ans *= mint(2) ^ (M - 1);
	cout << ans.get() << endl;
	return 0;
}

Submission Info

Submission Time
Task D - 表現の自由 ( Freedom of expression )
User luogu_bot2
Language C++14 (GCC 5.4.1)
Score 100
Code Size 4282 Byte
Status AC
Exec Time 1 ms
Memory 256 KB

Compile Error

./Main.cpp: In function ‘int main()’:
./Main.cpp:138:23: warning: ignoring return value of ‘int scanf(const char*, ...)’, declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d", &N, &M);
                       ^

Judge Result

Set Name All
Score / Max Score 100 / 100
Status
AC × 40
Set Name Test Cases
All 00_max.txt, 00_max2.txt, 00_max3.txt, 00_min.txt, 00_sample_01.txt, 00_sample_02.txt, 00_sample_03.txt, 00_sample_04.txt, 01_rnd_00.txt, 01_rnd_01.txt, 01_rnd_02.txt, 01_rnd_03.txt, 01_rnd_04.txt, 01_rnd_05.txt, 01_rnd_06.txt, 01_rnd_07.txt, 01_rnd_08.txt, 01_rnd_09.txt, 01_rnd_10.txt, 01_rnd_11.txt, 01_rnd_12.txt, 01_rnd_13.txt, 01_rnd_14.txt, 01_rnd_15.txt, 01_rnd_16.txt, 01_rnd_17.txt, 01_rnd_18.txt, 01_rnd_19.txt, 01_rnd_20.txt, 01_rnd_21.txt, 01_rnd_22.txt, 01_rnd_23.txt, 01_rnd_24.txt, 01_rnd_25.txt, 01_rnd_26.txt, 01_rnd_27.txt, 01_rnd_28.txt, 01_rnd_29.txt, 04_primes_01.txt, 04_primes_02.txt
Case Name Status Exec Time Memory
00_max.txt AC 1 ms 256 KB
00_max2.txt AC 1 ms 256 KB
00_max3.txt AC 1 ms 256 KB
00_min.txt AC 1 ms 256 KB
00_sample_01.txt AC 1 ms 256 KB
00_sample_02.txt AC 1 ms 256 KB
00_sample_03.txt AC 1 ms 256 KB
00_sample_04.txt AC 1 ms 256 KB
01_rnd_00.txt AC 1 ms 256 KB
01_rnd_01.txt AC 1 ms 256 KB
01_rnd_02.txt AC 1 ms 256 KB
01_rnd_03.txt AC 1 ms 256 KB
01_rnd_04.txt AC 1 ms 256 KB
01_rnd_05.txt AC 1 ms 256 KB
01_rnd_06.txt AC 1 ms 256 KB
01_rnd_07.txt AC 1 ms 256 KB
01_rnd_08.txt AC 1 ms 256 KB
01_rnd_09.txt AC 1 ms 256 KB
01_rnd_10.txt AC 1 ms 256 KB
01_rnd_11.txt AC 1 ms 256 KB
01_rnd_12.txt AC 1 ms 256 KB
01_rnd_13.txt AC 1 ms 256 KB
01_rnd_14.txt AC 1 ms 256 KB
01_rnd_15.txt AC 1 ms 256 KB
01_rnd_16.txt AC 1 ms 256 KB
01_rnd_17.txt AC 1 ms 256 KB
01_rnd_18.txt AC 1 ms 256 KB
01_rnd_19.txt AC 1 ms 256 KB
01_rnd_20.txt AC 1 ms 256 KB
01_rnd_21.txt AC 1 ms 256 KB
01_rnd_22.txt AC 1 ms 256 KB
01_rnd_23.txt AC 1 ms 256 KB
01_rnd_24.txt AC 1 ms 256 KB
01_rnd_25.txt AC 1 ms 256 KB
01_rnd_26.txt AC 1 ms 256 KB
01_rnd_27.txt AC 1 ms 256 KB
01_rnd_28.txt AC 1 ms 256 KB
01_rnd_29.txt AC 1 ms 256 KB
04_primes_01.txt AC 1 ms 256 KB
04_primes_02.txt AC 1 ms 256 KB