This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _CRT_SECURE_NO_WARNINGS
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <memory.h>
#include <math.h>
#include <assert.h>
#include <stack>
#include <queue>
#include <map>
#include <set>
#include <algorithm>
#include <string>
#include <functional>
#include <vector>
#include <deque>
#include <utility>
#include <bitset>
#include <limits.h>
using namespace std;
typedef long long ll;
typedef unsigned long long llu;
typedef double lf;
typedef unsigned int uint;
typedef long double llf;
typedef pair<int, int> pii;
const int N_ = 2225, SZ = 2222;
const int PN = 15;
const int P[] = {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47};
const int MOD = (int)1e9 + 7;
int N, freq[SZ+10];
ll Table[1 << PN], Table_prev[1 << PN];
int A[SZ+10], D[SZ+10];
ll res = 0;
ll ones = 0;
int main() {
scanf("%d", &N);
for(int i = 1; i <= N; i++) {
int x; scanf("%d", &x);
++freq[x];
}
for(int n = 1; n <= SZ; n++) D[n] = n;
for(int i = 0; i < PN; i++) {
for(int n = P[i]; n <= SZ; n += P[i]) {
A[n] |= 1<<i;
while(D[n] % P[i] == 0) D[n] /= P[i];
}
}
Table[0] = 1;
for(int i = 0; i < freq[1]; i++) Table[0] = (Table[0] * 2) % MOD;
for(int n = 2; n <= SZ; n++) if(freq[n] != 0 && D[n] == 1) {
for(int state = 0; state < (1<<PN); state++) if((state & A[n]) == 0) {
ll &v = Table[state | A[n]];
v += Table[state] * freq[n]; v %= MOD;
}
}
for(int d = P[PN-1]+1; d <= SZ; d++) if(A[d] == 0) {
for(int state = 0; state < (1<<PN); state++) Table_prev[state] = Table[state];
for(int n = d, k = 1; n <= SZ; n += d, k++) if(freq[n] != 0) {
for(int state = 0; state < (1<<PN); state++) if((state & A[k]) == 0) {
ll &v = Table[state | A[k]];
v += Table_prev[state] * freq[n]; v %= MOD;
}
}
}
res = 0;
for(int state = 0; state < (1<<PN); state++) res = (res + Table[state]) % MOD;
res -= (N + 1);
res = (res + MOD) % MOD;
printf("%lld\n", res);
return 0;
}
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