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Submission #1099294

# Submission time Handle Problem Language Result Execution time Memory
1099294 2024-10-11T06:25:27 Z MateiKing80 Alternating Current (BOI18_alternating) C++14
100 / 100
 36 ms 19928 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 100005;

int cnt[N], l[N], r[N], n, m;
vector<pair<int, int>> adj[N * 2];
vector<int> path;
int vis[N * 2], timer;

bool dfs(int u, int p)
{
    if(u == p)
        return 1;
    if(vis[u] == timer)
        return 0;
    vis[u] = timer;
    for(auto e : adj[u])
    {
        int v, i;
        tie(v, i) = e;
        path.push_back(i);
        if (dfs(v, p))
            return 1;
        path.pop_back();
    }
    return 0;
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin >> n >> m;
    for(int i = 1; i <= m; i ++)
        cin >> l[i] >> r[i];

    int x = *min_element(l + 1, l + m + 1);
    for(int i = 1; i <= m; i ++)
    {
        l[i] -= x;
        r[i] -= x;
        if(r[i] < 0)
            r[i] += n;
    }
    for (int i = 1; i <= m; i ++)
        if (l[i] <= r[i])
        {
            cnt[l[i]]++;
            cnt[r[i] + 1]--;
            adj[l[i]].emplace_back(r[i] + 1, i);
            adj[l[i] + n].emplace_back(r[i] + 1 + n, i);
        }
        else
        {
            cnt[0]++;
            cnt[l[i]]++;
            cnt[r[i] + 1]--;
            adj[l[i]].emplace_back(r[i] + 1 + n, i);
            adj[l[i] + n].emplace_back(2 * n, i);
        }
    for(int i = 0; i < n; i ++)
    {
        cnt[i + 1] += cnt[i];
        if(cnt[i] < 2)
            return cout << "impossible", 0;
        if(cnt[i] > 2)
        {
            adj[i + 1].emplace_back(i, 0);
            adj[i + 1 + n].emplace_back(i + n, 0);
        }
    }
    for(int i = 0; i < n; i ++)
    {
        timer ++;
        if (dfs(i, i + n))
        {
            memset(cnt, 0, sizeof cnt);
            for(int i : path) 
                cnt[i] = 1;
            for(int i = 1; i <= m; i++)
                cout << cnt[i];
            return 0;
        }
    }
    cout << "impossible";
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6748 KB Output is correct
2 Correct 2 ms 6748 KB Output is correct
3 Correct 1 ms 6840 KB Output is correct
4 Correct 2 ms 6748 KB Output is correct
5 Correct 1 ms 6748 KB Output is correct
6 Correct 2 ms 6872 KB Output is correct
7 Correct 2 ms 6744 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 2 ms 6872 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 2 ms 6748 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6748 KB Output is correct
15 Correct 2 ms 6748 KB Output is correct
16 Correct 2 ms 6868 KB Output is correct
17 Correct 2 ms 6748 KB Output is correct
18 Correct 1 ms 6748 KB Output is correct
19 Correct 1 ms 6940 KB Output is correct
20 Correct 2 ms 6744 KB Output is correct
21 Correct 1 ms 6748 KB Output is correct
22 Correct 2 ms 6748 KB Output is correct
23 Correct 1 ms 6748 KB Output is correct
24 Correct 1 ms 6748 KB Output is correct
25 Correct 1 ms 6748 KB Output is correct
26 Correct 1 ms 6836 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6748 KB Output is correct
29 Correct 1 ms 6492 KB Output is correct
30 Correct 1 ms 6492 KB Output is correct
31 Correct 2 ms 6748 KB Output is correct
32 Correct 1 ms 6488 KB Output is correct
33 Correct 1 ms 6876 KB Output is correct
34 Correct 1 ms 6492 KB Output is correct
35 Correct 1 ms 6492 KB Output is correct
36 Correct 1 ms 6748 KB Output is correct
37 Correct 2 ms 6748 KB Output is correct
38 Correct 1 ms 6492 KB Output is correct
39 Correct 1 ms 6876 KB Output is correct
40 Correct 1 ms 6748 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6748 KB Output is correct
2 Correct 2 ms 6748 KB Output is correct
3 Correct 1 ms 6840 KB Output is correct
4 Correct 2 ms 6748 KB Output is correct
5 Correct 1 ms 6748 KB Output is correct
6 Correct 2 ms 6872 KB Output is correct
7 Correct 2 ms 6744 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 2 ms 6872 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 2 ms 6748 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6748 KB Output is correct
15 Correct 2 ms 6748 KB Output is correct
16 Correct 2 ms 6868 KB Output is correct
17 Correct 2 ms 6748 KB Output is correct
18 Correct 1 ms 6748 KB Output is correct
19 Correct 1 ms 6940 KB Output is correct
20 Correct 2 ms 6744 KB Output is correct
21 Correct 1 ms 6748 KB Output is correct
22 Correct 2 ms 6748 KB Output is correct
23 Correct 1 ms 6748 KB Output is correct
24 Correct 1 ms 6748 KB Output is correct
25 Correct 1 ms 6748 KB Output is correct
26 Correct 1 ms 6836 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6748 KB Output is correct
29 Correct 1 ms 6492 KB Output is correct
30 Correct 1 ms 6492 KB Output is correct
31 Correct 2 ms 6748 KB Output is correct
32 Correct 1 ms 6488 KB Output is correct
33 Correct 1 ms 6876 KB Output is correct
34 Correct 1 ms 6492 KB Output is correct
35 Correct 1 ms 6492 KB Output is correct
36 Correct 1 ms 6748 KB Output is correct
37 Correct 2 ms 6748 KB Output is correct
38 Correct 1 ms 6492 KB Output is correct
39 Correct 1 ms 6876 KB Output is correct
40 Correct 1 ms 6748 KB Output is correct
41 Correct 2 ms 6744 KB Output is correct
42 Correct 1 ms 6748 KB Output is correct
43 Correct 1 ms 6748 KB Output is correct
44 Correct 1 ms 6748 KB Output is correct
45 Correct 1 ms 6836 KB Output is correct
46 Correct 1 ms 6748 KB Output is correct
47 Correct 1 ms 6748 KB Output is correct
48 Correct 1 ms 6492 KB Output is correct
49 Correct 1 ms 6748 KB Output is correct
50 Correct 2 ms 6492 KB Output is correct
51 Correct 1 ms 6488 KB Output is correct
52 Correct 1 ms 6492 KB Output is correct
53 Correct 1 ms 6492 KB Output is correct
54 Correct 1 ms 6748 KB Output is correct
55 Correct 1 ms 6748 KB Output is correct
56 Correct 1 ms 6836 KB Output is correct
57 Correct 2 ms 6748 KB Output is correct
58 Correct 1 ms 6748 KB Output is correct
59 Correct 1 ms 6748 KB Output is correct
60 Correct 2 ms 6744 KB Output is correct
61 Correct 2 ms 6748 KB Output is correct
62 Correct 1 ms 6488 KB Output is correct
63 Correct 1 ms 6492 KB Output is correct
64 Correct 1 ms 6748 KB Output is correct
65 Correct 1 ms 6492 KB Output is correct
66 Correct 1 ms 6748 KB Output is correct
67 Correct 1 ms 6748 KB Output is correct
68 Correct 2 ms 6748 KB Output is correct
69 Correct 1 ms 6876 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6748 KB Output is correct
2 Correct 2 ms 6748 KB Output is correct
3 Correct 1 ms 6840 KB Output is correct
4 Correct 2 ms 6748 KB Output is correct
5 Correct 1 ms 6748 KB Output is correct
6 Correct 2 ms 6872 KB Output is correct
7 Correct 2 ms 6744 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 2 ms 6872 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 2 ms 6748 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6748 KB Output is correct
15 Correct 2 ms 6748 KB Output is correct
16 Correct 2 ms 6868 KB Output is correct
17 Correct 2 ms 6748 KB Output is correct
18 Correct 1 ms 6748 KB Output is correct
19 Correct 1 ms 6940 KB Output is correct
20 Correct 2 ms 6744 KB Output is correct
21 Correct 1 ms 6748 KB Output is correct
22 Correct 2 ms 6748 KB Output is correct
23 Correct 1 ms 6748 KB Output is correct
24 Correct 1 ms 6748 KB Output is correct
25 Correct 1 ms 6748 KB Output is correct
26 Correct 1 ms 6836 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6748 KB Output is correct
29 Correct 1 ms 6492 KB Output is correct
30 Correct 1 ms 6492 KB Output is correct
31 Correct 2 ms 6748 KB Output is correct
32 Correct 1 ms 6488 KB Output is correct
33 Correct 1 ms 6876 KB Output is correct
34 Correct 1 ms 6492 KB Output is correct
35 Correct 1 ms 6492 KB Output is correct
36 Correct 1 ms 6748 KB Output is correct
37 Correct 2 ms 6748 KB Output is correct
38 Correct 1 ms 6492 KB Output is correct
39 Correct 1 ms 6876 KB Output is correct
40 Correct 1 ms 6748 KB Output is correct
41 Correct 2 ms 6744 KB Output is correct
42 Correct 1 ms 6748 KB Output is correct
43 Correct 1 ms 6748 KB Output is correct
44 Correct 1 ms 6748 KB Output is correct
45 Correct 1 ms 6836 KB Output is correct
46 Correct 1 ms 6748 KB Output is correct
47 Correct 1 ms 6748 KB Output is correct
48 Correct 1 ms 6492 KB Output is correct
49 Correct 1 ms 6748 KB Output is correct
50 Correct 2 ms 6492 KB Output is correct
51 Correct 1 ms 6488 KB Output is correct
52 Correct 1 ms 6492 KB Output is correct
53 Correct 1 ms 6492 KB Output is correct
54 Correct 1 ms 6748 KB Output is correct
55 Correct 1 ms 6748 KB Output is correct
56 Correct 1 ms 6836 KB Output is correct
57 Correct 2 ms 6748 KB Output is correct
58 Correct 1 ms 6748 KB Output is correct
59 Correct 1 ms 6748 KB Output is correct
60 Correct 2 ms 6744 KB Output is correct
61 Correct 2 ms 6748 KB Output is correct
62 Correct 1 ms 6488 KB Output is correct
63 Correct 1 ms 6492 KB Output is correct
64 Correct 1 ms 6748 KB Output is correct
65 Correct 1 ms 6492 KB Output is correct
66 Correct 1 ms 6748 KB Output is correct
67 Correct 1 ms 6748 KB Output is correct
68 Correct 2 ms 6748 KB Output is correct
69 Correct 1 ms 6876 KB Output is correct
70 Correct 2 ms 7000 KB Output is correct
71 Correct 2 ms 7004 KB Output is correct
72 Correct 1 ms 6748 KB Output is correct
73 Correct 1 ms 6748 KB Output is correct
74 Correct 2 ms 6748 KB Output is correct
75 Correct 2 ms 6872 KB Output is correct
76 Correct 1 ms 6492 KB Output is correct
77 Correct 2 ms 7004 KB Output is correct
78 Correct 2 ms 6492 KB Output is correct
79 Correct 1 ms 6492 KB Output is correct
80 Correct 1 ms 6492 KB Output is correct
81 Correct 2 ms 7000 KB Output is correct
82 Correct 2 ms 6748 KB Output is correct
83 Correct 2 ms 7004 KB Output is correct
84 Correct 1 ms 7004 KB Output is correct
85 Correct 2 ms 6748 KB Output is correct
86 Correct 1 ms 6748 KB Output is correct
87 Correct 2 ms 7004 KB Output is correct
88 Correct 1 ms 6876 KB Output is correct
89 Correct 1 ms 6492 KB Output is correct
90 Correct 2 ms 6840 KB Output is correct
91 Correct 2 ms 7004 KB Output is correct
92 Correct 2 ms 6748 KB Output is correct
93 Correct 2 ms 7004 KB Output is correct
94 Correct 1 ms 6492 KB Output is correct
95 Correct 2 ms 7004 KB Output is correct
96 Correct 2 ms 7004 KB Output is correct
97 Correct 2 ms 7004 KB Output is correct
98 Correct 1 ms 6748 KB Output is correct

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 15692 KB Output is correct
2 Correct 2 ms 6748 KB Output is correct
3 Correct 10 ms 10532 KB Output is correct
4 Correct 18 ms 13660 KB Output is correct
5 Correct 31 ms 16076 KB Output is correct
6 Correct 24 ms 13148 KB Output is correct
7 Correct 29 ms 16336 KB Output is correct
8 Correct 5 ms 10332 KB Output is correct
9 Correct 6 ms 10076 KB Output is correct
10 Correct 27 ms 16424 KB Output is correct
11 Correct 23 ms 14612 KB Output is correct
12 Correct 29 ms 13664 KB Output is correct
13 Correct 2 ms 6744 KB Output is correct
14 Correct 2 ms 6744 KB Output is correct
15 Correct 33 ms 18468 KB Output is correct
16 Correct 16 ms 13500 KB Output is correct
17 Correct 36 ms 18948 KB Output is correct
18 Correct 28 ms 10584 KB Output is correct
19 Correct 3 ms 7260 KB Output is correct
20 Correct 23 ms 14808 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6748 KB Output is correct
2 Correct 2 ms 6748 KB Output is correct
3 Correct 1 ms 6840 KB Output is correct
4 Correct 2 ms 6748 KB Output is correct
5 Correct 1 ms 6748 KB Output is correct
6 Correct 2 ms 6872 KB Output is correct
7 Correct 2 ms 6744 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 2 ms 6872 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 2 ms 6748 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6748 KB Output is correct
15 Correct 2 ms 6748 KB Output is correct
16 Correct 2 ms 6868 KB Output is correct
17 Correct 2 ms 6748 KB Output is correct
18 Correct 1 ms 6748 KB Output is correct
19 Correct 1 ms 6940 KB Output is correct
20 Correct 2 ms 6744 KB Output is correct
21 Correct 1 ms 6748 KB Output is correct
22 Correct 2 ms 6748 KB Output is correct
23 Correct 1 ms 6748 KB Output is correct
24 Correct 1 ms 6748 KB Output is correct
25 Correct 1 ms 6748 KB Output is correct
26 Correct 1 ms 6836 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6748 KB Output is correct
29 Correct 1 ms 6492 KB Output is correct
30 Correct 1 ms 6492 KB Output is correct
31 Correct 2 ms 6748 KB Output is correct
32 Correct 1 ms 6488 KB Output is correct
33 Correct 1 ms 6876 KB Output is correct
34 Correct 1 ms 6492 KB Output is correct
35 Correct 1 ms 6492 KB Output is correct
36 Correct 1 ms 6748 KB Output is correct
37 Correct 2 ms 6748 KB Output is correct
38 Correct 1 ms 6492 KB Output is correct
39 Correct 1 ms 6876 KB Output is correct
40 Correct 1 ms 6748 KB Output is correct
41 Correct 2 ms 6744 KB Output is correct
42 Correct 1 ms 6748 KB Output is correct
43 Correct 1 ms 6748 KB Output is correct
44 Correct 1 ms 6748 KB Output is correct
45 Correct 1 ms 6836 KB Output is correct
46 Correct 1 ms 6748 KB Output is correct
47 Correct 1 ms 6748 KB Output is correct
48 Correct 1 ms 6492 KB Output is correct
49 Correct 1 ms 6748 KB Output is correct
50 Correct 2 ms 6492 KB Output is correct
51 Correct 1 ms 6488 KB Output is correct
52 Correct 1 ms 6492 KB Output is correct
53 Correct 1 ms 6492 KB Output is correct
54 Correct 1 ms 6748 KB Output is correct
55 Correct 1 ms 6748 KB Output is correct
56 Correct 1 ms 6836 KB Output is correct
57 Correct 2 ms 6748 KB Output is correct
58 Correct 1 ms 6748 KB Output is correct
59 Correct 1 ms 6748 KB Output is correct
60 Correct 2 ms 6744 KB Output is correct
61 Correct 2 ms 6748 KB Output is correct
62 Correct 1 ms 6488 KB Output is correct
63 Correct 1 ms 6492 KB Output is correct
64 Correct 1 ms 6748 KB Output is correct
65 Correct 1 ms 6492 KB Output is correct
66 Correct 1 ms 6748 KB Output is correct
67 Correct 1 ms 6748 KB Output is correct
68 Correct 2 ms 6748 KB Output is correct
69 Correct 1 ms 6876 KB Output is correct
70 Correct 2 ms 7000 KB Output is correct
71 Correct 2 ms 7004 KB Output is correct
72 Correct 1 ms 6748 KB Output is correct
73 Correct 1 ms 6748 KB Output is correct
74 Correct 2 ms 6748 KB Output is correct
75 Correct 2 ms 6872 KB Output is correct
76 Correct 1 ms 6492 KB Output is correct
77 Correct 2 ms 7004 KB Output is correct
78 Correct 2 ms 6492 KB Output is correct
79 Correct 1 ms 6492 KB Output is correct
80 Correct 1 ms 6492 KB Output is correct
81 Correct 2 ms 7000 KB Output is correct
82 Correct 2 ms 6748 KB Output is correct
83 Correct 2 ms 7004 KB Output is correct
84 Correct 1 ms 7004 KB Output is correct
85 Correct 2 ms 6748 KB Output is correct
86 Correct 1 ms 6748 KB Output is correct
87 Correct 2 ms 7004 KB Output is correct
88 Correct 1 ms 6876 KB Output is correct
89 Correct 1 ms 6492 KB Output is correct
90 Correct 2 ms 6840 KB Output is correct
91 Correct 2 ms 7004 KB Output is correct
92 Correct 2 ms 6748 KB Output is correct
93 Correct 2 ms 7004 KB Output is correct
94 Correct 1 ms 6492 KB Output is correct
95 Correct 2 ms 7004 KB Output is correct
96 Correct 2 ms 7004 KB Output is correct
97 Correct 2 ms 7004 KB Output is correct
98 Correct 1 ms 6748 KB Output is correct
99 Correct 24 ms 15692 KB Output is correct
100 Correct 2 ms 6748 KB Output is correct
101 Correct 10 ms 10532 KB Output is correct
102 Correct 18 ms 13660 KB Output is correct
103 Correct 31 ms 16076 KB Output is correct
104 Correct 24 ms 13148 KB Output is correct
105 Correct 29 ms 16336 KB Output is correct
106 Correct 5 ms 10332 KB Output is correct
107 Correct 6 ms 10076 KB Output is correct
108 Correct 27 ms 16424 KB Output is correct
109 Correct 23 ms 14612 KB Output is correct
110 Correct 29 ms 13664 KB Output is correct
111 Correct 2 ms 6744 KB Output is correct
112 Correct 2 ms 6744 KB Output is correct
113 Correct 33 ms 18468 KB Output is correct
114 Correct 16 ms 13500 KB Output is correct
115 Correct 36 ms 18948 KB Output is correct
116 Correct 28 ms 10584 KB Output is correct
117 Correct 3 ms 7260 KB Output is correct
118 Correct 23 ms 14808 KB Output is correct
119 Correct 2 ms 7256 KB Output is correct
120 Correct 28 ms 17232 KB Output is correct
121 Correct 15 ms 13532 KB Output is correct
122 Correct 1 ms 6748 KB Output is correct
123 Correct 3 ms 7260 KB Output is correct
124 Correct 10 ms 9820 KB Output is correct
125 Correct 19 ms 13024 KB Output is correct
126 Correct 6 ms 9052 KB Output is correct
127 Correct 8 ms 11612 KB Output is correct
128 Correct 30 ms 17356 KB Output is correct
129 Correct 21 ms 13916 KB Output is correct
130 Correct 18 ms 12892 KB Output is correct
131 Correct 2 ms 7000 KB Output is correct
132 Correct 1 ms 7004 KB Output is correct
133 Correct 36 ms 18896 KB Output is correct
134 Correct 18 ms 18648 KB Output is correct
135 Correct 20 ms 19928 KB Output is correct
136 Correct 14 ms 10844 KB Output is correct
137 Correct 29 ms 14160 KB Output is correct
138 Correct 11 ms 14852 KB Output is correct