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Submission #8193

# Submission time Handle Problem Language Result Execution time Memory
8193 2014-09-06T09:25:58 Z ptncks0121 경비원 (GA8_guard) C++
100 / 100
 200 ms 1624 KB 
#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;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 1624 KB Output is correct
2 Correct 12 ms 1624 KB Output is correct
3 Correct 8 ms 1624 KB Output is correct
4 Correct 8 ms 1624 KB Output is correct
5 Correct 12 ms 1624 KB Output is correct
6 Correct 12 ms 1624 KB Output is correct
7 Correct 12 ms 1624 KB Output is correct
8 Correct 12 ms 1624 KB Output is correct
9 Correct 12 ms 1624 KB Output is correct
10 Correct 12 ms 1624 KB Output is correct
11 Correct 8 ms 1624 KB Output is correct
12 Correct 12 ms 1624 KB Output is correct
13 Correct 12 ms 1624 KB Output is correct
14 Correct 8 ms 1624 KB Output is correct
15 Correct 8 ms 1624 KB Output is correct
16 Correct 12 ms 1624 KB Output is correct
17 Correct 12 ms 1624 KB Output is correct
18 Correct 8 ms 1624 KB Output is correct
19 Correct 8 ms 1624 KB Output is correct
20 Correct 12 ms 1624 KB Output is correct
21 Correct 8 ms 1624 KB Output is correct
22 Correct 8 ms 1624 KB Output is correct
23 Correct 12 ms 1624 KB Output is correct
24 Correct 4 ms 1624 KB Output is correct
25 Correct 12 ms 1624 KB Output is correct
26 Correct 8 ms 1624 KB Output is correct
27 Correct 8 ms 1624 KB Output is correct
28 Correct 8 ms 1624 KB Output is correct
29 Correct 12 ms 1624 KB Output is correct
30 Correct 8 ms 1624 KB Output is correct
31 Correct 8 ms 1624 KB Output is correct
32 Correct 12 ms 1624 KB Output is correct
33 Correct 8 ms 1624 KB Output is correct
34 Correct 12 ms 1624 KB Output is correct
35 Correct 12 ms 1624 KB Output is correct
36 Correct 12 ms 1624 KB Output is correct
37 Correct 8 ms 1624 KB Output is correct
38 Correct 8 ms 1624 KB Output is correct
39 Correct 12 ms 1624 KB Output is correct
40 Correct 12 ms 1624 KB Output is correct
41 Correct 12 ms 1624 KB Output is correct
42 Correct 12 ms 1624 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 1624 KB Output is correct
2 Correct 8 ms 1624 KB Output is correct
3 Correct 4 ms 1624 KB Output is correct
4 Correct 12 ms 1624 KB Output is correct
5 Correct 12 ms 1624 KB Output is correct
6 Correct 12 ms 1624 KB Output is correct
7 Correct 12 ms 1624 KB Output is correct
8 Correct 8 ms 1624 KB Output is correct
9 Correct 12 ms 1624 KB Output is correct
10 Correct 8 ms 1624 KB Output is correct
11 Correct 8 ms 1624 KB Output is correct
12 Correct 12 ms 1624 KB Output is correct
13 Correct 12 ms 1624 KB Output is correct
14 Correct 12 ms 1624 KB Output is correct
15 Correct 8 ms 1624 KB Output is correct
16 Correct 12 ms 1624 KB Output is correct
17 Correct 12 ms 1624 KB Output is correct
18 Correct 12 ms 1624 KB Output is correct
19 Correct 12 ms 1624 KB Output is correct
20 Correct 12 ms 1624 KB Output is correct
21 Correct 12 ms 1624 KB Output is correct
22 Correct 12 ms 1624 KB Output is correct
23 Correct 12 ms 1624 KB Output is correct
24 Correct 8 ms 1624 KB Output is correct
25 Correct 12 ms 1624 KB Output is correct
26 Correct 12 ms 1624 KB Output is correct
27 Correct 12 ms 1624 KB Output is correct
28 Correct 12 ms 1624 KB Output is correct
29 Correct 12 ms 1624 KB Output is correct
30 Correct 12 ms 1624 KB Output is correct
31 Correct 12 ms 1624 KB Output is correct
32 Correct 12 ms 1624 KB Output is correct
33 Correct 12 ms 1624 KB Output is correct
34 Correct 12 ms 1624 KB Output is correct
35 Correct 12 ms 1624 KB Output is correct
36 Correct 12 ms 1624 KB Output is correct
37 Correct 12 ms 1624 KB Output is correct
38 Correct 12 ms 1624 KB Output is correct
39 Correct 8 ms 1624 KB Output is correct
40 Correct 12 ms 1624 KB Output is correct
41 Correct 12 ms 1624 KB Output is correct
42 Correct 12 ms 1624 KB Output is correct
43 Correct 12 ms 1624 KB Output is correct

Subtask #3
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 1624 KB Output is correct
2 Correct 12 ms 1624 KB Output is correct
3 Correct 8 ms 1624 KB Output is correct
4 Correct 12 ms 1624 KB Output is correct
5 Correct 8 ms 1624 KB Output is correct
6 Correct 12 ms 1624 KB Output is correct
7 Correct 12 ms 1624 KB Output is correct
8 Correct 12 ms 1624 KB Output is correct
9 Correct 12 ms 1624 KB Output is correct
10 Correct 12 ms 1624 KB Output is correct
11 Correct 8 ms 1624 KB Output is correct
12 Correct 8 ms 1624 KB Output is correct
13 Correct 8 ms 1624 KB Output is correct
14 Correct 8 ms 1624 KB Output is correct
15 Correct 12 ms 1624 KB Output is correct
16 Correct 12 ms 1624 KB Output is correct
17 Correct 12 ms 1624 KB Output is correct
18 Correct 8 ms 1624 KB Output is correct
19 Correct 8 ms 1624 KB Output is correct
20 Correct 12 ms 1624 KB Output is correct
21 Correct 12 ms 1624 KB Output is correct
22 Correct 12 ms 1624 KB Output is correct
23 Correct 12 ms 1624 KB Output is correct
24 Correct 8 ms 1624 KB Output is correct
25 Correct 16 ms 1624 KB Output is correct
26 Correct 16 ms 1624 KB Output is correct
27 Correct 12 ms 1624 KB Output is correct
28 Correct 12 ms 1624 KB Output is correct
29 Correct 12 ms 1624 KB Output is correct
30 Correct 12 ms 1624 KB Output is correct
31 Correct 12 ms 1624 KB Output is correct
32 Correct 12 ms 1624 KB Output is correct
33 Correct 16 ms 1624 KB Output is correct
34 Correct 12 ms 1624 KB Output is correct
35 Correct 12 ms 1624 KB Output is correct
36 Correct 8 ms 1624 KB Output is correct
37 Correct 12 ms 1624 KB Output is correct
38 Correct 12 ms 1624 KB Output is correct
39 Correct 12 ms 1624 KB Output is correct
40 Correct 12 ms 1624 KB Output is correct
41 Correct 12 ms 1624 KB Output is correct
42 Correct 8 ms 1624 KB Output is correct
43 Correct 12 ms 1624 KB Output is correct
44 Correct 8 ms 1624 KB Output is correct
45 Correct 12 ms 1624 KB Output is correct
46 Correct 12 ms 1624 KB Output is correct
47 Correct 8 ms 1624 KB Output is correct
48 Correct 12 ms 1624 KB Output is correct
49 Correct 8 ms 1624 KB Output is correct
50 Correct 12 ms 1624 KB Output is correct

Subtask #4
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 200 ms 1624 KB Output is correct
2 Correct 192 ms 1624 KB Output is correct
3 Correct 176 ms 1624 KB Output is correct
4 Correct 148 ms 1624 KB Output is correct
5 Correct 112 ms 1624 KB Output is correct
6 Correct 116 ms 1624 KB Output is correct
7 Correct 112 ms 1624 KB Output is correct
8 Correct 116 ms 1624 KB Output is correct
9 Correct 112 ms 1624 KB Output is correct
10 Correct 116 ms 1624 KB Output is correct
11 Correct 116 ms 1624 KB Output is correct
12 Correct 72 ms 1624 KB Output is correct
13 Correct 68 ms 1624 KB Output is correct
14 Correct 72 ms 1624 KB Output is correct
15 Correct 72 ms 1624 KB Output is correct
16 Correct 72 ms 1624 KB Output is correct
17 Correct 72 ms 1624 KB Output is correct
18 Correct 72 ms 1624 KB Output is correct
19 Correct 20 ms 1624 KB Output is correct
20 Correct 24 ms 1624 KB Output is correct
21 Correct 24 ms 1624 KB Output is correct
22 Correct 24 ms 1624 KB Output is correct
23 Correct 24 ms 1624 KB Output is correct
24 Correct 24 ms 1624 KB Output is correct
25 Correct 24 ms 1624 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 128 ms 1624 KB Output is correct
2 Correct 128 ms 1624 KB Output is correct
3 Correct 92 ms 1624 KB Output is correct
4 Correct 20 ms 1624 KB Output is correct
5 Correct 68 ms 1624 KB Output is correct
6 Correct 28 ms 1624 KB Output is correct
7 Correct 12 ms 1624 KB Output is correct
8 Correct 36 ms 1624 KB Output is correct
9 Correct 12 ms 1624 KB Output is correct
10 Correct 12 ms 1624 KB Output is correct
11 Correct 124 ms 1624 KB Output is correct
12 Correct 128 ms 1624 KB Output is correct
13 Correct 92 ms 1624 KB Output is correct
14 Correct 20 ms 1624 KB Output is correct
15 Correct 68 ms 1624 KB Output is correct
16 Correct 28 ms 1624 KB Output is correct
17 Correct 8 ms 1624 KB Output is correct
18 Correct 32 ms 1624 KB Output is correct
19 Correct 12 ms 1624 KB Output is correct
20 Correct 12 ms 1624 KB Output is correct
21 Correct 116 ms 1624 KB Output is correct
22 Correct 120 ms 1624 KB Output is correct
23 Correct 92 ms 1624 KB Output is correct
24 Correct 20 ms 1624 KB Output is correct
25 Correct 64 ms 1624 KB Output is correct
26 Correct 24 ms 1624 KB Output is correct
27 Correct 12 ms 1624 KB Output is correct
28 Correct 32 ms 1624 KB Output is correct
29 Correct 16 ms 1624 KB Output is correct
30 Correct 12 ms 1624 KB Output is correct
31 Correct 108 ms 1624 KB Output is correct
32 Correct 112 ms 1624 KB Output is correct
33 Correct 84 ms 1624 KB Output is correct
34 Correct 16 ms 1624 KB Output is correct
35 Correct 64 ms 1624 KB Output is correct
36 Correct 28 ms 1624 KB Output is correct
37 Correct 12 ms 1624 KB Output is correct
38 Correct 36 ms 1624 KB Output is correct
39 Correct 12 ms 1624 KB Output is correct
40 Correct 12 ms 1624 KB Output is correct