Submission #13915

#TimeUsernameProblemLanguageResultExecution timeMemory
13915gs14004경비원 (GA8_guard)C++14
100 / 100
419 ms1492 KiB
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int mod = 1e9 + 7;

int n;
int pr[15] = {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47};

struct num{
    int val;
    int lowbit;
    int rem;
}a[2223];

bool cmp(num a, num b){return a.rem < b.rem;}

void input(){
    scanf("%d",&n);
    for (int i=1; i<=n; i++) {
        scanf("%d",&a[i].val);
        int t = a[i].val;
        for (int j=0; j<15; j++) {
            while(t % pr[j] == 0){
                a[i].lowbit |= 1<<j;
                t /= pr[j];
            }
        }
        a[i].rem = t;
    }
    sort(a+1,a+n+1,cmp);
}

int dp[2][1<<15];
int back[1<<15];

int main(){
    input();
    dp[0][0] = 1;
    for (int i=1; i<=n; i++) {
        if(a[i].rem == 1){
            for (int j=0; j<(1<<15); j++) {
                dp[i%2][j] = 0;
                if((a[i].lowbit & ~j) == 0){
                    dp[i%2][j] = dp[(i-1)%2][j ^ a[i].lowbit];
                }
                dp[i%2][j] += dp[(i-1)%2][j];
                dp[i%2][j] %= mod;
            }
        }
        else{
            if(a[i].rem != a[i-1].rem){
                memcpy(back,dp[(i-1)%2],sizeof(back));
            }
            for (int j=0; j<(1<<15); j++) {
                dp[i%2][j] = 0;
                if((a[i].lowbit & ~j) == 0){
                    dp[i%2][j] = back[j ^ a[i].lowbit];
                }
                dp[i%2][j] += dp[(i-1)%2][j];
                dp[i%2][j] %= mod;
            }
        }
    }
    int ret = mod - n - 1;
    for (int i=0; i<(1<<15); i++) {
        ret += dp[n%2][i];
        ret %= mod;
    }
    printf("%d",ret);
}
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