oj.uz

Submission #885984

# Submission time Handle Problem Language Result Execution time Memory
885984 2023-12-11T09:34:12 Z boris_mihov Bootfall (IZhO17_bootfall) C++17
100 / 100
 275 ms 4104 KB 
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <bitset>
#include <vector>

typedef long long llong;
const int MAXS = 250000 + 10;
const int MAXN = 500 + 10;
const int MOD  = 1e9 + 13;

int n;
int a[MAXN];
int dp[MAXS];
int copy[MAXS];
int cnt[MAXS];

void solve()
{
    int sum = 0;
    dp[0] = 1;
    for (int i = 1 ; i <= n ; ++i)
    {
        sum += a[i];
        for (int j = MAXS - 1 ; j >= a[i] ; --j)
        {
            dp[j] += dp[j - a[i]];
            if (dp[j] >= MOD) dp[j] -= MOD;
        }
    }

    if ((sum & 1) || (!dp[sum / 2]))
    {
        std::cout << "0\n\n";
        return;
    }

    for (int i = 1 ; i <= n ; ++i)
    {
        for (int j = 1 ; j < MAXS ; ++j)
        {
            copy[j] = dp[j];
        }

        for (int j = 0 ; j + a[i] < MAXS ; ++j)
        {
            dp[j + a[i]] -= dp[j];
            if (dp[j + a[i]] < 0)
            {
                dp[j + a[i]] += MOD;
            }
        }

        for (int j = 0 ; j < MAXS && sum - a[i] - 2 * j > 0 ; ++j)
        {
            if (dp[j] != 0)
            {
                cnt[sum - a[i] - 2 * j]++;
            }
        }

        for (int j = 1 ; j < MAXS ; ++j)
        {
            dp[j] = copy[j];
        }
    }

    int count = 0;
    for (int i = 1 ; i < MAXS ; ++i)
    {
        count += (cnt[i] == n);
    }

    std::cout << count << '\n';
    for (int i = 1 ; i < MAXS ; ++i)
    {
        if (cnt[i] == n)
        {
            std::cout << i << ' ';
        }
    }

    std::cout << '\n';
}

void input()
{
    std::cin >> n;
    for (int i = 1 ; i <= n ; ++i)
    {
        std::cin >> a[i];
    }
}

void fastIOI()
{
    std::ios_base :: sync_with_stdio(0);
    std::cout.tie(nullptr);
    std::cin.tie(nullptr);
}

int main()
{
    fastIOI();
    input();
    solve();

    return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 3164 KB Output is correct
2 Correct 4 ms 3164 KB Output is correct
3 Correct 2 ms 3416 KB Output is correct
4 Correct 3 ms 3164 KB Output is correct
5 Correct 8 ms 3164 KB Output is correct
6 Correct 6 ms 3160 KB Output is correct
7 Correct 4 ms 3164 KB Output is correct
8 Correct 7 ms 3164 KB Output is correct
9 Correct 6 ms 3164 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 3164 KB Output is correct
2 Correct 4 ms 3164 KB Output is correct
3 Correct 2 ms 3416 KB Output is correct
4 Correct 3 ms 3164 KB Output is correct
5 Correct 8 ms 3164 KB Output is correct
6 Correct 6 ms 3160 KB Output is correct
7 Correct 4 ms 3164 KB Output is correct
8 Correct 7 ms 3164 KB Output is correct
9 Correct 6 ms 3164 KB Output is correct
10 Correct 14 ms 3160 KB Output is correct
11 Correct 17 ms 3208 KB Output is correct
12 Correct 15 ms 3160 KB Output is correct
13 Correct 14 ms 3164 KB Output is correct
14 Correct 14 ms 3220 KB Output is correct
15 Correct 18 ms 3164 KB Output is correct
16 Correct 17 ms 3164 KB Output is correct
17 Correct 10 ms 3216 KB Output is correct
18 Correct 12 ms 3164 KB Output is correct
19 Correct 13 ms 3164 KB Output is correct
20 Correct 14 ms 3212 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 3164 KB Output is correct
2 Correct 4 ms 3164 KB Output is correct
3 Correct 2 ms 3416 KB Output is correct
4 Correct 3 ms 3164 KB Output is correct
5 Correct 8 ms 3164 KB Output is correct
6 Correct 6 ms 3160 KB Output is correct
7 Correct 4 ms 3164 KB Output is correct
8 Correct 7 ms 3164 KB Output is correct
9 Correct 6 ms 3164 KB Output is correct
10 Correct 14 ms 3160 KB Output is correct
11 Correct 17 ms 3208 KB Output is correct
12 Correct 15 ms 3160 KB Output is correct
13 Correct 14 ms 3164 KB Output is correct
14 Correct 14 ms 3220 KB Output is correct
15 Correct 18 ms 3164 KB Output is correct
16 Correct 17 ms 3164 KB Output is correct
17 Correct 10 ms 3216 KB Output is correct
18 Correct 12 ms 3164 KB Output is correct
19 Correct 13 ms 3164 KB Output is correct
20 Correct 14 ms 3212 KB Output is correct
21 Correct 31 ms 3464 KB Output is correct
22 Correct 34 ms 3208 KB Output is correct
23 Correct 24 ms 3164 KB Output is correct
24 Correct 48 ms 3192 KB Output is correct
25 Correct 43 ms 3160 KB Output is correct
26 Correct 46 ms 3236 KB Output is correct
27 Correct 48 ms 3164 KB Output is correct
28 Correct 47 ms 3212 KB Output is correct
29 Correct 45 ms 3216 KB Output is correct
30 Correct 46 ms 3164 KB Output is correct
31 Correct 45 ms 3220 KB Output is correct
32 Correct 46 ms 3164 KB Output is correct
33 Correct 46 ms 3360 KB Output is correct
34 Correct 45 ms 3240 KB Output is correct
35 Correct 45 ms 3164 KB Output is correct
36 Correct 50 ms 3164 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 3164 KB Output is correct
2 Correct 4 ms 3164 KB Output is correct
3 Correct 2 ms 3416 KB Output is correct
4 Correct 3 ms 3164 KB Output is correct
5 Correct 8 ms 3164 KB Output is correct
6 Correct 6 ms 3160 KB Output is correct
7 Correct 4 ms 3164 KB Output is correct
8 Correct 7 ms 3164 KB Output is correct
9 Correct 6 ms 3164 KB Output is correct
10 Correct 14 ms 3160 KB Output is correct
11 Correct 17 ms 3208 KB Output is correct
12 Correct 15 ms 3160 KB Output is correct
13 Correct 14 ms 3164 KB Output is correct
14 Correct 14 ms 3220 KB Output is correct
15 Correct 18 ms 3164 KB Output is correct
16 Correct 17 ms 3164 KB Output is correct
17 Correct 10 ms 3216 KB Output is correct
18 Correct 12 ms 3164 KB Output is correct
19 Correct 13 ms 3164 KB Output is correct
20 Correct 14 ms 3212 KB Output is correct
21 Correct 31 ms 3464 KB Output is correct
22 Correct 34 ms 3208 KB Output is correct
23 Correct 24 ms 3164 KB Output is correct
24 Correct 48 ms 3192 KB Output is correct
25 Correct 43 ms 3160 KB Output is correct
26 Correct 46 ms 3236 KB Output is correct
27 Correct 48 ms 3164 KB Output is correct
28 Correct 47 ms 3212 KB Output is correct
29 Correct 45 ms 3216 KB Output is correct
30 Correct 46 ms 3164 KB Output is correct
31 Correct 45 ms 3220 KB Output is correct
32 Correct 46 ms 3164 KB Output is correct
33 Correct 46 ms 3360 KB Output is correct
34 Correct 45 ms 3240 KB Output is correct
35 Correct 45 ms 3164 KB Output is correct
36 Correct 50 ms 3164 KB Output is correct
37 Correct 91 ms 3208 KB Output is correct
38 Correct 90 ms 3192 KB Output is correct
39 Correct 115 ms 3160 KB Output is correct
40 Correct 123 ms 3408 KB Output is correct
41 Correct 125 ms 3204 KB Output is correct
42 Correct 114 ms 3416 KB Output is correct
43 Correct 128 ms 3372 KB Output is correct
44 Correct 117 ms 3456 KB Output is correct
45 Correct 116 ms 3412 KB Output is correct
46 Correct 133 ms 3164 KB Output is correct
47 Correct 116 ms 3412 KB Output is correct
48 Correct 121 ms 3460 KB Output is correct
49 Correct 117 ms 3164 KB Output is correct
50 Correct 116 ms 3412 KB Output is correct
51 Correct 51 ms 3160 KB Output is correct
52 Correct 143 ms 3372 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 3164 KB Output is correct
2 Correct 4 ms 3164 KB Output is correct
3 Correct 2 ms 3416 KB Output is correct
4 Correct 3 ms 3164 KB Output is correct
5 Correct 8 ms 3164 KB Output is correct
6 Correct 6 ms 3160 KB Output is correct
7 Correct 4 ms 3164 KB Output is correct
8 Correct 7 ms 3164 KB Output is correct
9 Correct 6 ms 3164 KB Output is correct
10 Correct 14 ms 3160 KB Output is correct
11 Correct 17 ms 3208 KB Output is correct
12 Correct 15 ms 3160 KB Output is correct
13 Correct 14 ms 3164 KB Output is correct
14 Correct 14 ms 3220 KB Output is correct
15 Correct 18 ms 3164 KB Output is correct
16 Correct 17 ms 3164 KB Output is correct
17 Correct 10 ms 3216 KB Output is correct
18 Correct 12 ms 3164 KB Output is correct
19 Correct 13 ms 3164 KB Output is correct
20 Correct 14 ms 3212 KB Output is correct
21 Correct 31 ms 3464 KB Output is correct
22 Correct 34 ms 3208 KB Output is correct
23 Correct 24 ms 3164 KB Output is correct
24 Correct 48 ms 3192 KB Output is correct
25 Correct 43 ms 3160 KB Output is correct
26 Correct 46 ms 3236 KB Output is correct
27 Correct 48 ms 3164 KB Output is correct
28 Correct 47 ms 3212 KB Output is correct
29 Correct 45 ms 3216 KB Output is correct
30 Correct 46 ms 3164 KB Output is correct
31 Correct 45 ms 3220 KB Output is correct
32 Correct 46 ms 3164 KB Output is correct
33 Correct 46 ms 3360 KB Output is correct
34 Correct 45 ms 3240 KB Output is correct
35 Correct 45 ms 3164 KB Output is correct
36 Correct 50 ms 3164 KB Output is correct
37 Correct 91 ms 3208 KB Output is correct
38 Correct 90 ms 3192 KB Output is correct
39 Correct 115 ms 3160 KB Output is correct
40 Correct 123 ms 3408 KB Output is correct
41 Correct 125 ms 3204 KB Output is correct
42 Correct 114 ms 3416 KB Output is correct
43 Correct 128 ms 3372 KB Output is correct
44 Correct 117 ms 3456 KB Output is correct
45 Correct 116 ms 3412 KB Output is correct
46 Correct 133 ms 3164 KB Output is correct
47 Correct 116 ms 3412 KB Output is correct
48 Correct 121 ms 3460 KB Output is correct
49 Correct 117 ms 3164 KB Output is correct
50 Correct 116 ms 3412 KB Output is correct
51 Correct 51 ms 3160 KB Output is correct
52 Correct 143 ms 3372 KB Output is correct
53 Correct 139 ms 3448 KB Output is correct
54 Correct 163 ms 3448 KB Output is correct
55 Correct 173 ms 3628 KB Output is correct
56 Correct 141 ms 3408 KB Output is correct
57 Correct 186 ms 3464 KB Output is correct
58 Correct 166 ms 3448 KB Output is correct
59 Correct 165 ms 3412 KB Output is correct
60 Correct 70 ms 3164 KB Output is correct
61 Correct 169 ms 3372 KB Output is correct
62 Correct 154 ms 3408 KB Output is correct
63 Correct 155 ms 3408 KB Output is correct
64 Correct 151 ms 3412 KB Output is correct
65 Correct 154 ms 3372 KB Output is correct
66 Correct 146 ms 3160 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 3164 KB Output is correct
2 Correct 4 ms 3164 KB Output is correct
3 Correct 2 ms 3416 KB Output is correct
4 Correct 3 ms 3164 KB Output is correct
5 Correct 8 ms 3164 KB Output is correct
6 Correct 6 ms 3160 KB Output is correct
7 Correct 4 ms 3164 KB Output is correct
8 Correct 7 ms 3164 KB Output is correct
9 Correct 6 ms 3164 KB Output is correct
10 Correct 14 ms 3160 KB Output is correct
11 Correct 17 ms 3208 KB Output is correct
12 Correct 15 ms 3160 KB Output is correct
13 Correct 14 ms 3164 KB Output is correct
14 Correct 14 ms 3220 KB Output is correct
15 Correct 18 ms 3164 KB Output is correct
16 Correct 17 ms 3164 KB Output is correct
17 Correct 10 ms 3216 KB Output is correct
18 Correct 12 ms 3164 KB Output is correct
19 Correct 13 ms 3164 KB Output is correct
20 Correct 14 ms 3212 KB Output is correct
21 Correct 31 ms 3464 KB Output is correct
22 Correct 34 ms 3208 KB Output is correct
23 Correct 24 ms 3164 KB Output is correct
24 Correct 48 ms 3192 KB Output is correct
25 Correct 43 ms 3160 KB Output is correct
26 Correct 46 ms 3236 KB Output is correct
27 Correct 48 ms 3164 KB Output is correct
28 Correct 47 ms 3212 KB Output is correct
29 Correct 45 ms 3216 KB Output is correct
30 Correct 46 ms 3164 KB Output is correct
31 Correct 45 ms 3220 KB Output is correct
32 Correct 46 ms 3164 KB Output is correct
33 Correct 46 ms 3360 KB Output is correct
34 Correct 45 ms 3240 KB Output is correct
35 Correct 45 ms 3164 KB Output is correct
36 Correct 50 ms 3164 KB Output is correct
37 Correct 91 ms 3208 KB Output is correct
38 Correct 90 ms 3192 KB Output is correct
39 Correct 115 ms 3160 KB Output is correct
40 Correct 123 ms 3408 KB Output is correct
41 Correct 125 ms 3204 KB Output is correct
42 Correct 114 ms 3416 KB Output is correct
43 Correct 128 ms 3372 KB Output is correct
44 Correct 117 ms 3456 KB Output is correct
45 Correct 116 ms 3412 KB Output is correct
46 Correct 133 ms 3164 KB Output is correct
47 Correct 116 ms 3412 KB Output is correct
48 Correct 121 ms 3460 KB Output is correct
49 Correct 117 ms 3164 KB Output is correct
50 Correct 116 ms 3412 KB Output is correct
51 Correct 51 ms 3160 KB Output is correct
52 Correct 143 ms 3372 KB Output is correct
53 Correct 139 ms 3448 KB Output is correct
54 Correct 163 ms 3448 KB Output is correct
55 Correct 173 ms 3628 KB Output is correct
56 Correct 141 ms 3408 KB Output is correct
57 Correct 186 ms 3464 KB Output is correct
58 Correct 166 ms 3448 KB Output is correct
59 Correct 165 ms 3412 KB Output is correct
60 Correct 70 ms 3164 KB Output is correct
61 Correct 169 ms 3372 KB Output is correct
62 Correct 154 ms 3408 KB Output is correct
63 Correct 155 ms 3408 KB Output is correct
64 Correct 151 ms 3412 KB Output is correct
65 Correct 154 ms 3372 KB Output is correct
66 Correct 146 ms 3160 KB Output is correct
67 Correct 191 ms 3372 KB Output is correct
68 Correct 102 ms 3408 KB Output is correct
69 Correct 261 ms 3924 KB Output is correct
70 Correct 250 ms 3788 KB Output is correct
71 Correct 256 ms 3640 KB Output is correct
72 Correct 242 ms 3164 KB Output is correct
73 Correct 244 ms 3376 KB Output is correct
74 Correct 267 ms 4104 KB Output is correct
75 Correct 249 ms 3716 KB Output is correct
76 Correct 275 ms 3884 KB Output is correct
77 Correct 265 ms 3888 KB Output is correct