Submission #20112

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
20112	2016-02-25T16:12:00 Z	gs14004	팔찌 (kriii4_V)	C++14	6 / 100	1000 ms	17344 KB

V

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <limits.h>
#include <stack>
#include <queue>
#include <map>
#include <set>
#include <algorithm>
#include <string>
#include <functional>
#include <vector>
#include <numeric>
#include <deque>
#include <utility>
#include <bitset>
#include <iostream>
using namespace std;
typedef long long lint;
typedef long double llf;
typedef pair<int, int> pi;
const int mod = 1e9 + 7;

lint ipow(lint x, lint p){
    lint ret = 1, piv = x % mod;
    while(p){
        if(p&1) ret *= piv;
        piv *= piv;
        ret %= mod;
        piv %= mod;
        p >>= 1;
    }
    return ret;
}

int low[1000005], phi[1000005];

int n, k;
lint kpow[1000005];

int solve(int n, int k){
	lint ret = 0;
	for(int i=1; i*i<=n; i++){
		if(n%i == 0){
			ret += kpow[i] * phi[n/i] % mod;
			if(i*i!=n) ret += kpow[n/i] * phi[i] % mod;
			ret %= mod;
		}
	}
	ret *= ipow(n, mod - 2);
	ret %= mod;
	return ret;
}

int main(){
	cin >> n >> k;
	phi[1] = 1;
	for(int i=2; i<=n; i++){
		for(int j=i; j<=n; j+=i){
			if(!low[j]) low[j] = i;
		}
		phi[i] = i;
		for(int j=i; j!=1; ){
			int p = low[j];
			while(j % p == 0){
				j /= p;
			}
			phi[i] = (1ll * phi[i] * (p-1)) / p;
		}
	}
	kpow[0] = 1;
	for(int i=1; i<=n; i++){
		kpow[i] = kpow[i-1] * k % mod;
	}
	lint ret = 2;
	for(int i=1; i<=n; i++){
		ret += solve(i, k);
		ret %= mod;
		if(i%2 == 0) ret += (1ll * (k+1) * kpow[i/2] % mod) * ((mod + 1) / 2) % mod;
		else ret += kpow[i/2+1];
		ret %= mod;
	}
	ret *= (mod + 1) / 2;
	ret %= mod;
	cout << ret;
}

Subtask #1

6.0 / 6.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	17344 KB	Output is correct
2	Correct	0 ms	17344 KB	Output is correct
3	Correct	0 ms	17344 KB	Output is correct
4	Correct	0 ms	17344 KB	Output is correct
5	Correct	0 ms	17344 KB	Output is correct
6	Correct	0 ms	17344 KB	Output is correct
7	Correct	0 ms	17344 KB	Output is correct
8	Correct	0 ms	17344 KB	Output is correct
9	Correct	0 ms	17344 KB	Output is correct
10	Correct	0 ms	17344 KB	Output is correct
11	Correct	0 ms	17344 KB	Output is correct
12	Correct	0 ms	17344 KB	Output is correct
13	Correct	0 ms	17344 KB	Output is correct
14	Correct	0 ms	17344 KB	Output is correct
15	Correct	0 ms	17344 KB	Output is correct
16	Correct	0 ms	17344 KB	Output is correct
17	Correct	0 ms	17344 KB	Output is correct
18	Correct	0 ms	17344 KB	Output is correct
19	Correct	0 ms	17344 KB	Output is correct
20	Correct	0 ms	17344 KB	Output is correct

Subtask #2

0.0 / 94.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	17344 KB	Output is correct
2	Correct	0 ms	17344 KB	Output is correct
3	Correct	0 ms	17344 KB	Output is correct
4	Correct	80 ms	17344 KB	Output is correct
5	Execution timed out	1000 ms	17340 KB	Program timed out
6	Halted	0 ms	0 KB	-