Submission #863403

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
863403	2023-10-20T07:23:46 Z	Trisanu_Das	Alternating Current (BOI18_alternating)	C++17	100 / 100	38 ms	19924 KB

alternating

#include <bits/stdc++.h>
using namespace std;
 
int cnt[100005], l[100005], r[100005], n, m;
vector<pair<int, int>> adj[100005 * 2];
vector<int> path;
int vis[100005 * 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() {
    cin.tie(0)->sync_with_stdio(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	6744 KB	Output is correct
2	Correct	1 ms	6748 KB	Output is correct
3	Correct	1 ms	6748 KB	Output is correct
4	Correct	1 ms	6744 KB	Output is correct
5	Correct	1 ms	6748 KB	Output is correct
6	Correct	1 ms	6748 KB	Output is correct
7	Correct	1 ms	6748 KB	Output is correct
8	Correct	1 ms	6492 KB	Output is correct
9	Correct	1 ms	6748 KB	Output is correct
10	Correct	1 ms	6492 KB	Output is correct
11	Correct	1 ms	6492 KB	Output is correct
12	Correct	1 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	1 ms	6748 KB	Output is correct
16	Correct	1 ms	6992 KB	Output is correct
17	Correct	1 ms	6748 KB	Output is correct
18	Correct	1 ms	6748 KB	Output is correct
19	Correct	1 ms	6744 KB	Output is correct
20	Correct	1 ms	6748 KB	Output is correct
21	Correct	1 ms	6748 KB	Output is correct
22	Correct	1 ms	6932 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	6748 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	1 ms	6748 KB	Output is correct
32	Correct	1 ms	6492 KB	Output is correct
33	Correct	1 ms	6748 KB	Output is correct
34	Correct	1 ms	6488 KB	Output is correct
35	Correct	1 ms	6492 KB	Output is correct
36	Correct	1 ms	6748 KB	Output is correct
37	Correct	1 ms	6748 KB	Output is correct
38	Correct	1 ms	6492 KB	Output is correct
39	Correct	1 ms	6748 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	6744 KB	Output is correct
2	Correct	1 ms	6748 KB	Output is correct
3	Correct	1 ms	6748 KB	Output is correct
4	Correct	1 ms	6744 KB	Output is correct
5	Correct	1 ms	6748 KB	Output is correct
6	Correct	1 ms	6748 KB	Output is correct
7	Correct	1 ms	6748 KB	Output is correct
8	Correct	1 ms	6492 KB	Output is correct
9	Correct	1 ms	6748 KB	Output is correct
10	Correct	1 ms	6492 KB	Output is correct
11	Correct	1 ms	6492 KB	Output is correct
12	Correct	1 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	1 ms	6748 KB	Output is correct
16	Correct	1 ms	6992 KB	Output is correct
17	Correct	1 ms	6748 KB	Output is correct
18	Correct	1 ms	6748 KB	Output is correct
19	Correct	1 ms	6744 KB	Output is correct
20	Correct	1 ms	6748 KB	Output is correct
21	Correct	1 ms	6748 KB	Output is correct
22	Correct	1 ms	6932 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	6748 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	1 ms	6748 KB	Output is correct
32	Correct	1 ms	6492 KB	Output is correct
33	Correct	1 ms	6748 KB	Output is correct
34	Correct	1 ms	6488 KB	Output is correct
35	Correct	1 ms	6492 KB	Output is correct
36	Correct	1 ms	6748 KB	Output is correct
37	Correct	1 ms	6748 KB	Output is correct
38	Correct	1 ms	6492 KB	Output is correct
39	Correct	1 ms	6748 KB	Output is correct
40	Correct	1 ms	6748 KB	Output is correct
41	Correct	2 ms	6748 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	6748 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	6744 KB	Output is correct
50	Correct	1 ms	6580 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	6744 KB	Output is correct
55	Correct	1 ms	6748 KB	Output is correct
56	Correct	1 ms	6748 KB	Output is correct
57	Correct	1 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	1 ms	6836 KB	Output is correct
61	Correct	1 ms	6748 KB	Output is correct
62	Correct	1 ms	6492 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	6488 KB	Output is correct
66	Correct	1 ms	6748 KB	Output is correct
67	Correct	1 ms	6748 KB	Output is correct
68	Correct	1 ms	6748 KB	Output is correct
69	Correct	1 ms	6748 KB	Output is correct

Subtask #3
22.0 / 22.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	6744 KB	Output is correct
2	Correct	1 ms	6748 KB	Output is correct
3	Correct	1 ms	6748 KB	Output is correct
4	Correct	1 ms	6744 KB	Output is correct
5	Correct	1 ms	6748 KB	Output is correct
6	Correct	1 ms	6748 KB	Output is correct
7	Correct	1 ms	6748 KB	Output is correct
8	Correct	1 ms	6492 KB	Output is correct
9	Correct	1 ms	6748 KB	Output is correct
10	Correct	1 ms	6492 KB	Output is correct
11	Correct	1 ms	6492 KB	Output is correct
12	Correct	1 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	1 ms	6748 KB	Output is correct
16	Correct	1 ms	6992 KB	Output is correct
17	Correct	1 ms	6748 KB	Output is correct
18	Correct	1 ms	6748 KB	Output is correct
19	Correct	1 ms	6744 KB	Output is correct
20	Correct	1 ms	6748 KB	Output is correct
21	Correct	1 ms	6748 KB	Output is correct
22	Correct	1 ms	6932 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	6748 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	1 ms	6748 KB	Output is correct
32	Correct	1 ms	6492 KB	Output is correct
33	Correct	1 ms	6748 KB	Output is correct
34	Correct	1 ms	6488 KB	Output is correct
35	Correct	1 ms	6492 KB	Output is correct
36	Correct	1 ms	6748 KB	Output is correct
37	Correct	1 ms	6748 KB	Output is correct
38	Correct	1 ms	6492 KB	Output is correct
39	Correct	1 ms	6748 KB	Output is correct
40	Correct	1 ms	6748 KB	Output is correct
41	Correct	2 ms	6748 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	6748 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	6744 KB	Output is correct
50	Correct	1 ms	6580 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	6744 KB	Output is correct
55	Correct	1 ms	6748 KB	Output is correct
56	Correct	1 ms	6748 KB	Output is correct
57	Correct	1 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	1 ms	6836 KB	Output is correct
61	Correct	1 ms	6748 KB	Output is correct
62	Correct	1 ms	6492 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	6488 KB	Output is correct
66	Correct	1 ms	6748 KB	Output is correct
67	Correct	1 ms	6748 KB	Output is correct
68	Correct	1 ms	6748 KB	Output is correct
69	Correct	1 ms	6748 KB	Output is correct
70	Correct	1 ms	7004 KB	Output is correct
71	Correct	2 ms	6840 KB	Output is correct
72	Correct	1 ms	6748 KB	Output is correct
73	Correct	1 ms	6748 KB	Output is correct
74	Correct	1 ms	6748 KB	Output is correct
75	Correct	1 ms	6748 KB	Output is correct
76	Correct	1 ms	6492 KB	Output is correct
77	Correct	1 ms	6744 KB	Output is correct
78	Correct	1 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	1 ms	6748 KB	Output is correct
82	Correct	1 ms	6748 KB	Output is correct
83	Correct	1 ms	7004 KB	Output is correct
84	Correct	2 ms	7004 KB	Output is correct
85	Correct	1 ms	6748 KB	Output is correct
86	Correct	1 ms	6748 KB	Output is correct
87	Correct	1 ms	7004 KB	Output is correct
88	Correct	1 ms	6748 KB	Output is correct
89	Correct	1 ms	6492 KB	Output is correct
90	Correct	2 ms	7004 KB	Output is correct
91	Correct	1 ms	7004 KB	Output is correct
92	Correct	1 ms	6748 KB	Output is correct
93	Correct	1 ms	7004 KB	Output is correct
94	Correct	1 ms	6492 KB	Output is correct
95	Correct	1 ms	7000 KB	Output is correct
96	Correct	2 ms	7004 KB	Output is correct
97	Correct	2 ms	7000 KB	Output is correct
98	Correct	2 ms	6748 KB	Output is correct

Subtask #4
19.0 / 19.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	23 ms	14792 KB	Output is correct
2	Correct	2 ms	6748 KB	Output is correct
3	Correct	11 ms	9820 KB	Output is correct
4	Correct	18 ms	13144 KB	Output is correct
5	Correct	28 ms	15064 KB	Output is correct
6	Correct	24 ms	11868 KB	Output is correct
7	Correct	28 ms	15320 KB	Output is correct
8	Correct	5 ms	10072 KB	Output is correct
9	Correct	5 ms	9820 KB	Output is correct
10	Correct	30 ms	15280 KB	Output is correct
11	Correct	22 ms	13788 KB	Output is correct
12	Correct	25 ms	12380 KB	Output is correct
13	Correct	1 ms	6748 KB	Output is correct
14	Correct	1 ms	6748 KB	Output is correct
15	Correct	36 ms	17304 KB	Output is correct
16	Correct	16 ms	13148 KB	Output is correct
17	Correct	36 ms	17960 KB	Output is correct
18	Correct	19 ms	9688 KB	Output is correct
19	Correct	3 ms	7256 KB	Output is correct
20	Correct	23 ms	13780 KB	Output is correct

Subtask #5
26.0 / 26.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	6744 KB	Output is correct
2	Correct	1 ms	6748 KB	Output is correct
3	Correct	1 ms	6748 KB	Output is correct
4	Correct	1 ms	6744 KB	Output is correct
5	Correct	1 ms	6748 KB	Output is correct
6	Correct	1 ms	6748 KB	Output is correct
7	Correct	1 ms	6748 KB	Output is correct
8	Correct	1 ms	6492 KB	Output is correct
9	Correct	1 ms	6748 KB	Output is correct
10	Correct	1 ms	6492 KB	Output is correct
11	Correct	1 ms	6492 KB	Output is correct
12	Correct	1 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	1 ms	6748 KB	Output is correct
16	Correct	1 ms	6992 KB	Output is correct
17	Correct	1 ms	6748 KB	Output is correct
18	Correct	1 ms	6748 KB	Output is correct
19	Correct	1 ms	6744 KB	Output is correct
20	Correct	1 ms	6748 KB	Output is correct
21	Correct	1 ms	6748 KB	Output is correct
22	Correct	1 ms	6932 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	6748 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	1 ms	6748 KB	Output is correct
32	Correct	1 ms	6492 KB	Output is correct
33	Correct	1 ms	6748 KB	Output is correct
34	Correct	1 ms	6488 KB	Output is correct
35	Correct	1 ms	6492 KB	Output is correct
36	Correct	1 ms	6748 KB	Output is correct
37	Correct	1 ms	6748 KB	Output is correct
38	Correct	1 ms	6492 KB	Output is correct
39	Correct	1 ms	6748 KB	Output is correct
40	Correct	1 ms	6748 KB	Output is correct
41	Correct	2 ms	6748 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	6748 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	6744 KB	Output is correct
50	Correct	1 ms	6580 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	6744 KB	Output is correct
55	Correct	1 ms	6748 KB	Output is correct
56	Correct	1 ms	6748 KB	Output is correct
57	Correct	1 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	1 ms	6836 KB	Output is correct
61	Correct	1 ms	6748 KB	Output is correct
62	Correct	1 ms	6492 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	6488 KB	Output is correct
66	Correct	1 ms	6748 KB	Output is correct
67	Correct	1 ms	6748 KB	Output is correct
68	Correct	1 ms	6748 KB	Output is correct
69	Correct	1 ms	6748 KB	Output is correct
70	Correct	1 ms	7004 KB	Output is correct
71	Correct	2 ms	6840 KB	Output is correct
72	Correct	1 ms	6748 KB	Output is correct
73	Correct	1 ms	6748 KB	Output is correct
74	Correct	1 ms	6748 KB	Output is correct
75	Correct	1 ms	6748 KB	Output is correct
76	Correct	1 ms	6492 KB	Output is correct
77	Correct	1 ms	6744 KB	Output is correct
78	Correct	1 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	1 ms	6748 KB	Output is correct
82	Correct	1 ms	6748 KB	Output is correct
83	Correct	1 ms	7004 KB	Output is correct
84	Correct	2 ms	7004 KB	Output is correct
85	Correct	1 ms	6748 KB	Output is correct
86	Correct	1 ms	6748 KB	Output is correct
87	Correct	1 ms	7004 KB	Output is correct
88	Correct	1 ms	6748 KB	Output is correct
89	Correct	1 ms	6492 KB	Output is correct
90	Correct	2 ms	7004 KB	Output is correct
91	Correct	1 ms	7004 KB	Output is correct
92	Correct	1 ms	6748 KB	Output is correct
93	Correct	1 ms	7004 KB	Output is correct
94	Correct	1 ms	6492 KB	Output is correct
95	Correct	1 ms	7000 KB	Output is correct
96	Correct	2 ms	7004 KB	Output is correct
97	Correct	2 ms	7000 KB	Output is correct
98	Correct	2 ms	6748 KB	Output is correct
99	Correct	23 ms	14792 KB	Output is correct
100	Correct	2 ms	6748 KB	Output is correct
101	Correct	11 ms	9820 KB	Output is correct
102	Correct	18 ms	13144 KB	Output is correct
103	Correct	28 ms	15064 KB	Output is correct
104	Correct	24 ms	11868 KB	Output is correct
105	Correct	28 ms	15320 KB	Output is correct
106	Correct	5 ms	10072 KB	Output is correct
107	Correct	5 ms	9820 KB	Output is correct
108	Correct	30 ms	15280 KB	Output is correct
109	Correct	22 ms	13788 KB	Output is correct
110	Correct	25 ms	12380 KB	Output is correct
111	Correct	1 ms	6748 KB	Output is correct
112	Correct	1 ms	6748 KB	Output is correct
113	Correct	36 ms	17304 KB	Output is correct
114	Correct	16 ms	13148 KB	Output is correct
115	Correct	36 ms	17960 KB	Output is correct
116	Correct	19 ms	9688 KB	Output is correct
117	Correct	3 ms	7256 KB	Output is correct
118	Correct	23 ms	13780 KB	Output is correct
119	Correct	2 ms	7260 KB	Output is correct
120	Correct	28 ms	17348 KB	Output is correct
121	Correct	18 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	9704 KB	Output is correct
125	Correct	14 ms	13024 KB	Output is correct
126	Correct	4 ms	9052 KB	Output is correct
127	Correct	8 ms	11432 KB	Output is correct
128	Correct	28 ms	17360 KB	Output is correct
129	Correct	17 ms	13784 KB	Output is correct
130	Correct	19 ms	12892 KB	Output is correct
131	Correct	2 ms	7004 KB	Output is correct
132	Correct	2 ms	7004 KB	Output is correct
133	Correct	38 ms	18836 KB	Output is correct
134	Correct	20 ms	18644 KB	Output is correct
135	Correct	13 ms	19924 KB	Output is correct
136	Correct	15 ms	10828 KB	Output is correct
137	Correct	23 ms	13912 KB	Output is correct
138	Correct	10 ms	14672 KB	Output is correct

Submission #863403

Compilation message

Subtask #1 13.0 / 13.0

Subtask #2 20.0 / 20.0

Subtask #3 22.0 / 22.0

Subtask #4 19.0 / 19.0

Subtask #5 26.0 / 26.0

Subtask #1
13.0 / 13.0

Subtask #2
20.0 / 20.0

Subtask #3
22.0 / 22.0

Subtask #4
19.0 / 19.0

Subtask #5
26.0 / 26.0