Submission #7851

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
7851	2014-08-20T05:47:37 Z	ainu7	경비원 (GA8_guard)	C++	100 / 100	272 ms	1864 KB

guard

#include <math.h>
#include <stdio.h>
#include <string.h>
#include <vector>
#include <string>
#include <queue>
#include <map>
#include <algorithm>
#include <cmath>
#include <iostream>
#include <sstream>
#include <set>
using namespace std;

const int mmod = 1000000007;
const int max_n = 2222;

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

int main()
{
  int n;
  scanf("%d", &n);

  vector<int> mask[max_n+1];

  for (int i=0; i<n; i++) {
    int temp;
    scanf("%d", &temp);
    int bit = 0;
    for (int j=0; j<small_cnt; j++) {
      int occ = 0;
      while (temp % small_prime[j] == 0) {
        occ = 1;
        temp /= small_prime[j];
      }
      if (occ) bit |= 1 << j;
    }
    for (int j=50; j<=max_n; j++)
      if (j * j == temp) temp = j;
    mask[temp].push_back(bit);
  }

  int prv[1<<small_cnt] = {0};
  prv[0] = 1;

  // stage 1. mask[1]
  for (int i=0; i<mask[1].size(); i++) {
    int bit = mask[1][i];
    for (int j=(1<<small_cnt)-1; j>=0; j--) {
      if ((j&bit) == bit) {
        prv[j] = prv[j] + prv[j-bit];
        if (prv[j] >= mmod) prv[j] -= mmod;
      }
    }
  }
  
  // stage 2. mask[50++]
  for (int i=50; i<=max_n; i++) {
    if (!mask[i].size()) continue;

    // select 0 or 1 of them.
    int nxt[1<<small_cnt];
    for (int j=0; j<(1<<small_cnt); j++) nxt[j] = prv[j];
    for (int j=0; j<mask[i].size(); j++) {
      int bit = mask[i][j];
      for (int k=0; k<(1<<small_cnt); k++)
        if ((k&bit) == bit) {
          nxt[k] = nxt[k] + prv[k-bit];
          if (nxt[k] >= mmod) nxt[k] -= mmod;
        }
    }

    for (int j=0; j<(1<<small_cnt); j++) prv[j] = nxt[j];
  }

  int res = mmod - n - 1;
  for (int i=0; i<(1<<small_cnt); i++)
    res = (res + prv[i]) % mmod;
  printf("%d\n", res);
}

Subtask #1
8.0 / 8.0

#	Verdict	Memory	Grader output
1	Correct	1856 KB	Output is correct
2	Correct	1856 KB	Output is correct
3	Correct	1856 KB	Output is correct
4	Correct	1864 KB	Output is correct
5	Correct	1864 KB	Output is correct
6	Correct	1864 KB	Output is correct
7	Correct	1864 KB	Output is correct
8	Correct	1860 KB	Output is correct
9	Correct	1864 KB	Output is correct
10	Correct	1864 KB	Output is correct
11	Correct	1860 KB	Output is correct
12	Correct	1856 KB	Output is correct
13	Correct	1864 KB	Output is correct
14	Correct	1864 KB	Output is correct
15	Correct	1864 KB	Output is correct
16	Correct	1860 KB	Output is correct
17	Correct	1860 KB	Output is correct
18	Correct	1856 KB	Output is correct
19	Correct	1860 KB	Output is correct
20	Correct	1856 KB	Output is correct
21	Correct	1856 KB	Output is correct
22	Correct	1864 KB	Output is correct
23	Correct	1860 KB	Output is correct
24	Correct	1860 KB	Output is correct
25	Correct	1864 KB	Output is correct
26	Correct	1860 KB	Output is correct
27	Correct	1856 KB	Output is correct
28	Correct	1860 KB	Output is correct
29	Correct	1860 KB	Output is correct
30	Correct	1864 KB	Output is correct
31	Correct	1864 KB	Output is correct
32	Correct	1856 KB	Output is correct
33	Correct	1860 KB	Output is correct
34	Correct	1864 KB	Output is correct
35	Correct	1860 KB	Output is correct
36	Correct	1864 KB	Output is correct
37	Correct	1860 KB	Output is correct
38	Correct	1860 KB	Output is correct
39	Correct	1860 KB	Output is correct
40	Correct	1860 KB	Output is correct
41	Correct	1860 KB	Output is correct
42	Correct	1860 KB	Output is correct

Subtask #2
13.0 / 13.0

#	Verdict	Memory	Grader output
1	Correct	1864 KB	Output is correct
2	Correct	1860 KB	Output is correct
3	Correct	1860 KB	Output is correct
4	Correct	1860 KB	Output is correct
5	Correct	1860 KB	Output is correct
6	Correct	1860 KB	Output is correct
7	Correct	1864 KB	Output is correct
8	Correct	1864 KB	Output is correct
9	Correct	1856 KB	Output is correct
10	Correct	1856 KB	Output is correct
11	Correct	1864 KB	Output is correct
12	Correct	1856 KB	Output is correct
13	Correct	1864 KB	Output is correct
14	Correct	1860 KB	Output is correct
15	Correct	1864 KB	Output is correct
16	Correct	1864 KB	Output is correct
17	Correct	1864 KB	Output is correct
18	Correct	1864 KB	Output is correct
19	Correct	1860 KB	Output is correct
20	Correct	1860 KB	Output is correct
21	Correct	1860 KB	Output is correct
22	Correct	1860 KB	Output is correct
23	Correct	1864 KB	Output is correct
24	Correct	1860 KB	Output is correct
25	Correct	1864 KB	Output is correct
26	Correct	1864 KB	Output is correct
27	Correct	1860 KB	Output is correct
28	Correct	1864 KB	Output is correct
29	Correct	1864 KB	Output is correct
30	Correct	1860 KB	Output is correct
31	Correct	1864 KB	Output is correct
32	Correct	1864 KB	Output is correct
33	Correct	1864 KB	Output is correct
34	Correct	1864 KB	Output is correct
35	Correct	1860 KB	Output is correct
36	Correct	1856 KB	Output is correct
37	Correct	1856 KB	Output is correct
38	Correct	1860 KB	Output is correct
39	Correct	1860 KB	Output is correct
40	Correct	1860 KB	Output is correct
41	Correct	1864 KB	Output is correct
42	Correct	1860 KB	Output is correct
43	Correct	1856 KB	Output is correct

Subtask #3
16.0 / 16.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	196 ms	1860 KB	Output is correct
2	Correct	196 ms	1856 KB	Output is correct
3	Correct	140 ms	1860 KB	Output is correct
4	Correct	124 ms	1860 KB	Output is correct
5	Correct	132 ms	1864 KB	Output is correct
6	Correct	124 ms	1860 KB	Output is correct
7	Correct	116 ms	1860 KB	Output is correct
8	Correct	120 ms	1864 KB	Output is correct
9	Correct	184 ms	1860 KB	Output is correct
10	Correct	188 ms	1860 KB	Output is correct
11	Correct	136 ms	1860 KB	Output is correct
12	Correct	120 ms	1864 KB	Output is correct
13	Correct	120 ms	1860 KB	Output is correct
14	Correct	116 ms	1860 KB	Output is correct
15	Correct	112 ms	1856 KB	Output is correct
16	Correct	112 ms	1860 KB	Output is correct
17	Correct	172 ms	1860 KB	Output is correct
18	Correct	168 ms	1856 KB	Output is correct
19	Correct	128 ms	1860 KB	Output is correct
20	Correct	108 ms	1860 KB	Output is correct
21	Correct	108 ms	1860 KB	Output is correct
22	Correct	100 ms	1860 KB	Output is correct
23	Correct	100 ms	1856 KB	Output is correct
24	Correct	104 ms	1864 KB	Output is correct
25	Correct	140 ms	1864 KB	Output is correct
26	Correct	140 ms	1860 KB	Output is correct
27	Correct	112 ms	1864 KB	Output is correct
28	Correct	92 ms	1860 KB	Output is correct
29	Correct	96 ms	1860 KB	Output is correct
30	Correct	84 ms	1860 KB	Output is correct
31	Correct	84 ms	1860 KB	Output is correct
32	Correct	88 ms	1860 KB	Output is correct
33	Correct	104 ms	1860 KB	Output is correct
34	Correct	104 ms	1860 KB	Output is correct
35	Correct	88 ms	1860 KB	Output is correct
36	Correct	68 ms	1856 KB	Output is correct
37	Correct	76 ms	1860 KB	Output is correct
38	Correct	68 ms	1860 KB	Output is correct
39	Correct	64 ms	1864 KB	Output is correct
40	Correct	64 ms	1856 KB	Output is correct
41	Correct	220 ms	1864 KB	Output is correct
42	Correct	216 ms	1860 KB	Output is correct
43	Correct	220 ms	1864 KB	Output is correct
44	Correct	216 ms	1860 KB	Output is correct
45	Correct	216 ms	1864 KB	Output is correct
46	Correct	216 ms	1860 KB	Output is correct
47	Correct	224 ms	1864 KB	Output is correct
48	Correct	216 ms	1864 KB	Output is correct
49	Correct	224 ms	1864 KB	Output is correct
50	Correct	216 ms	1864 KB	Output is correct

Subtask #4
27.0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	272 ms	1860 KB	Output is correct
2	Correct	260 ms	1856 KB	Output is correct
3	Correct	232 ms	1860 KB	Output is correct
4	Correct	188 ms	1864 KB	Output is correct
5	Correct	140 ms	1864 KB	Output is correct
6	Correct	140 ms	1864 KB	Output is correct
7	Correct	124 ms	1856 KB	Output is correct
8	Correct	132 ms	1864 KB	Output is correct
9	Correct	140 ms	1864 KB	Output is correct
10	Correct	140 ms	1864 KB	Output is correct
11	Correct	144 ms	1860 KB	Output is correct
12	Correct	72 ms	1860 KB	Output is correct
13	Correct	68 ms	1856 KB	Output is correct
14	Correct	68 ms	1860 KB	Output is correct
15	Correct	68 ms	1864 KB	Output is correct
16	Correct	72 ms	1864 KB	Output is correct
17	Correct	80 ms	1860 KB	Output is correct
18	Correct	72 ms	1856 KB	Output is correct
19	Correct	12 ms	1860 KB	Output is correct
20	Correct	12 ms	1860 KB	Output is correct
21	Correct	8 ms	1860 KB	Output is correct
22	Correct	12 ms	1860 KB	Output is correct
23	Correct	12 ms	1860 KB	Output is correct
24	Correct	12 ms	1860 KB	Output is correct
25	Correct	8 ms	1860 KB	Output is correct

Subtask #5
36.0 / 36.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	268 ms	1860 KB	Output is correct
2	Correct	256 ms	1864 KB	Output is correct
3	Correct	236 ms	1860 KB	Output is correct
4	Correct	212 ms	1860 KB	Output is correct
5	Correct	120 ms	1864 KB	Output is correct
6	Correct	120 ms	1860 KB	Output is correct
7	Correct	120 ms	1860 KB	Output is correct
8	Correct	116 ms	1860 KB	Output is correct
9	Correct	100 ms	1864 KB	Output is correct
10	Correct	120 ms	1860 KB	Output is correct
11	Correct	248 ms	1860 KB	Output is correct
12	Correct	252 ms	1860 KB	Output is correct
13	Correct	220 ms	1864 KB	Output is correct
14	Correct	204 ms	1856 KB	Output is correct
15	Correct	116 ms	1856 KB	Output is correct
16	Correct	116 ms	1860 KB	Output is correct
17	Correct	116 ms	1860 KB	Output is correct
18	Correct	116 ms	1856 KB	Output is correct
19	Correct	92 ms	1864 KB	Output is correct
20	Correct	120 ms	1860 KB	Output is correct
21	Correct	228 ms	1860 KB	Output is correct
22	Correct	236 ms	1860 KB	Output is correct
23	Correct	204 ms	1860 KB	Output is correct
24	Correct	184 ms	1864 KB	Output is correct
25	Correct	104 ms	1864 KB	Output is correct
26	Correct	104 ms	1864 KB	Output is correct
27	Correct	104 ms	1856 KB	Output is correct
28	Correct	104 ms	1860 KB	Output is correct
29	Correct	84 ms	1864 KB	Output is correct
30	Correct	104 ms	1860 KB	Output is correct
31	Correct	196 ms	1864 KB	Output is correct
32	Correct	196 ms	1864 KB	Output is correct
33	Correct	168 ms	1860 KB	Output is correct
34	Correct	152 ms	1860 KB	Output is correct
35	Correct	92 ms	1864 KB	Output is correct
36	Correct	92 ms	1864 KB	Output is correct
37	Correct	88 ms	1864 KB	Output is correct
38	Correct	88 ms	1864 KB	Output is correct
39	Correct	72 ms	1864 KB	Output is correct
40	Correct	92 ms	1860 KB	Output is correct

Submission #7851

Compilation message

Subtask #1 8.0 / 8.0

Subtask #2 13.0 / 13.0

Subtask #3 16.0 / 16.0

Subtask #4 27.0 / 27.0

Subtask #5 36.0 / 36.0

Subtask #1
8.0 / 8.0

Subtask #2
13.0 / 13.0

Subtask #3
16.0 / 16.0

Subtask #4
27.0 / 27.0

Subtask #5
36.0 / 36.0