답안 #670210

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
670210	2022-12-08T09:57:51 Z	Alexandruabcde	Amusement Park (CEOI19_amusementpark)	C++14	100 / 100	2859 ms	1780 KB

amusementpark

#include <bits/stdc++.h>

using namespace std;

constexpr int MOD = 998244353;
constexpr int INVMOD2 = 499122177;
constexpr int NMAX = 18;
constexpr int SMAX = (1<<NMAX);

int N, M;

bool edge[NMAX][NMAX];
bool good[SMAX];

void Read () {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    cin >> N >> M;

    for (int i = 1; i <= M; ++ i ) {
        int x, y;
        cin >> x >> y;

        --x, --y;

        edge[x][y] = true;
    }
}

vector <int> V;
void Precompute () {
    for (int mask = 0; mask < (1<<N); ++ mask ) {
        V.clear();
        for (int i = 0; i < N; ++ i )
            if ((mask&(1<<i))) V.push_back(i);

        bool ok = true;
        for (int i = 0; i < V.size(); ++ i ) {
            for (int j = 0; j < V.size(); ++ j ) {
                if (i == j) continue;

                ok &= (!edge[V[i]][V[j]]);
            }
        }

        good[mask] = ok;
    }
}

int dp[SMAX];

void Add (int &x, int y) {
    x += y;

    if (x < 0) x += MOD;
    if (x >= MOD) x -= MOD;
}

void ComputeFor (int mask, int k, int mask_take, int last_pos) {
    if (k > 0) {
        int sgn = (k % 2 == 1 ? 1 : -1);

        if (good[mask_take])
            Add(dp[mask], sgn * dp[mask^mask_take]);
    }

    if (last_pos == V.size()-1) return;

    for (int i = last_pos+1; i < V.size(); ++ i )
        ComputeFor(mask, k+1, (mask_take^(1<<V[i])), i);
}

void Solve () {
    dp[0] = 1;

    for (int mask = 1; mask < (1<<N); ++ mask ) {
        V.clear();
        for (int i = 0; i < N; ++ i )
            if ((mask&(1<<i))) V.push_back(i);

        ComputeFor(mask, 0, 0, -1);
    }

    cout << ((1LL * M * INVMOD2) % MOD * 1LL * dp[(1<<N)-1]) % MOD << '\n';
}

int main () {
    Read();
    Precompute();
    Solve();

    return 0;
}

Compilation message

amusementpark.cpp: In function 'void Precompute()':
amusementpark.cpp:39:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   39 |         for (int i = 0; i < V.size(); ++ i ) {
      |                         ~~^~~~~~~~~~
amusementpark.cpp:40:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   40 |             for (int j = 0; j < V.size(); ++ j ) {
      |                             ~~^~~~~~~~~~
amusementpark.cpp: In function 'void ComputeFor(int, int, int, int)':
amusementpark.cpp:68:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   68 |     if (last_pos == V.size()-1) return;
      |         ~~~~~~~~~^~~~~~~~~~~~~
amusementpark.cpp:70:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   70 |     for (int i = last_pos+1; i < V.size(); ++ i )
      |                              ~~^~~~~~~~~~

Subtask #1
7.0 / 7.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	1 ms	328 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	0 ms	332 KB	Output is correct
7	Correct	0 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct

Subtask #2
12.0 / 12.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	1 ms	328 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	0 ms	332 KB	Output is correct
7	Correct	0 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	0 ms	212 KB	Output is correct
12	Correct	0 ms	336 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	0 ms	212 KB	Output is correct
16	Correct	0 ms	212 KB	Output is correct
17	Correct	0 ms	336 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	0 ms	332 KB	Output is correct
20	Correct	1 ms	212 KB	Output is correct
21	Correct	1 ms	212 KB	Output is correct
22	Correct	0 ms	212 KB	Output is correct
23	Correct	0 ms	212 KB	Output is correct
24	Correct	1 ms	212 KB	Output is correct

Subtask #3
23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	1 ms	328 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	0 ms	332 KB	Output is correct
7	Correct	0 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	0 ms	212 KB	Output is correct
12	Correct	0 ms	336 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	0 ms	212 KB	Output is correct
16	Correct	0 ms	212 KB	Output is correct
17	Correct	0 ms	336 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	0 ms	332 KB	Output is correct
20	Correct	1 ms	212 KB	Output is correct
21	Correct	1 ms	212 KB	Output is correct
22	Correct	0 ms	212 KB	Output is correct
23	Correct	0 ms	212 KB	Output is correct
24	Correct	1 ms	212 KB	Output is correct
25	Correct	1 ms	212 KB	Output is correct
26	Correct	0 ms	212 KB	Output is correct
27	Correct	1 ms	212 KB	Output is correct
28	Correct	0 ms	212 KB	Output is correct
29	Correct	1 ms	328 KB	Output is correct
30	Correct	0 ms	332 KB	Output is correct
31	Correct	1 ms	212 KB	Output is correct
32	Correct	1 ms	336 KB	Output is correct
33	Correct	1 ms	212 KB	Output is correct
34	Correct	1 ms	212 KB	Output is correct
35	Correct	1 ms	212 KB	Output is correct
36	Correct	1 ms	212 KB	Output is correct
37	Correct	1 ms	212 KB	Output is correct
38	Correct	1 ms	212 KB	Output is correct
39	Correct	1 ms	212 KB	Output is correct
40	Correct	1 ms	212 KB	Output is correct
41	Correct	1 ms	212 KB	Output is correct
42	Correct	1 ms	332 KB	Output is correct
43	Correct	1 ms	212 KB	Output is correct
44	Correct	1 ms	212 KB	Output is correct
45	Correct	1 ms	212 KB	Output is correct
46	Correct	1 ms	212 KB	Output is correct
47	Correct	1 ms	212 KB	Output is correct
48	Correct	1 ms	212 KB	Output is correct
49	Correct	1 ms	212 KB	Output is correct
50	Correct	1 ms	212 KB	Output is correct
51	Correct	1 ms	328 KB	Output is correct
52	Correct	1 ms	328 KB	Output is correct
53	Correct	1 ms	212 KB	Output is correct
54	Correct	1 ms	212 KB	Output is correct
55	Correct	1 ms	212 KB	Output is correct
56	Correct	1 ms	340 KB	Output is correct
57	Correct	1 ms	212 KB	Output is correct
58	Correct	1 ms	212 KB	Output is correct
59	Correct	1 ms	332 KB	Output is correct
60	Correct	1 ms	328 KB	Output is correct
61	Correct	1 ms	332 KB	Output is correct
62	Correct	1 ms	328 KB	Output is correct
63	Correct	1 ms	212 KB	Output is correct
64	Correct	1 ms	212 KB	Output is correct

Subtask #4
21.0 / 21.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	1 ms	328 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	0 ms	332 KB	Output is correct
7	Correct	0 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	0 ms	212 KB	Output is correct
12	Correct	0 ms	336 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	0 ms	212 KB	Output is correct
16	Correct	0 ms	212 KB	Output is correct
17	Correct	0 ms	336 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	0 ms	332 KB	Output is correct
20	Correct	1 ms	212 KB	Output is correct
21	Correct	1 ms	212 KB	Output is correct
22	Correct	0 ms	212 KB	Output is correct
23	Correct	0 ms	212 KB	Output is correct
24	Correct	1 ms	212 KB	Output is correct
25	Correct	1 ms	212 KB	Output is correct
26	Correct	0 ms	212 KB	Output is correct
27	Correct	1 ms	212 KB	Output is correct
28	Correct	0 ms	212 KB	Output is correct
29	Correct	1 ms	328 KB	Output is correct
30	Correct	0 ms	332 KB	Output is correct
31	Correct	1 ms	212 KB	Output is correct
32	Correct	1 ms	336 KB	Output is correct
33	Correct	1 ms	212 KB	Output is correct
34	Correct	1 ms	212 KB	Output is correct
35	Correct	1 ms	212 KB	Output is correct
36	Correct	1 ms	212 KB	Output is correct
37	Correct	1 ms	212 KB	Output is correct
38	Correct	1 ms	212 KB	Output is correct
39	Correct	1 ms	212 KB	Output is correct
40	Correct	1 ms	212 KB	Output is correct
41	Correct	1 ms	212 KB	Output is correct
42	Correct	1 ms	332 KB	Output is correct
43	Correct	1 ms	212 KB	Output is correct
44	Correct	1 ms	212 KB	Output is correct
45	Correct	1 ms	212 KB	Output is correct
46	Correct	1 ms	212 KB	Output is correct
47	Correct	1 ms	212 KB	Output is correct
48	Correct	1 ms	212 KB	Output is correct
49	Correct	1 ms	212 KB	Output is correct
50	Correct	1 ms	212 KB	Output is correct
51	Correct	1 ms	328 KB	Output is correct
52	Correct	1 ms	328 KB	Output is correct
53	Correct	1 ms	212 KB	Output is correct
54	Correct	1 ms	212 KB	Output is correct
55	Correct	1 ms	212 KB	Output is correct
56	Correct	1 ms	340 KB	Output is correct
57	Correct	1 ms	212 KB	Output is correct
58	Correct	1 ms	212 KB	Output is correct
59	Correct	1 ms	332 KB	Output is correct
60	Correct	1 ms	328 KB	Output is correct
61	Correct	1 ms	332 KB	Output is correct
62	Correct	1 ms	328 KB	Output is correct
63	Correct	1 ms	212 KB	Output is correct
64	Correct	1 ms	212 KB	Output is correct
65	Correct	28 ms	360 KB	Output is correct
66	Correct	27 ms	340 KB	Output is correct
67	Correct	27 ms	376 KB	Output is correct
68	Correct	27 ms	388 KB	Output is correct
69	Correct	32 ms	340 KB	Output is correct
70	Correct	31 ms	492 KB	Output is correct
71	Correct	31 ms	332 KB	Output is correct
72	Correct	32 ms	388 KB	Output is correct
73	Correct	29 ms	332 KB	Output is correct
74	Correct	29 ms	380 KB	Output is correct
75	Correct	29 ms	396 KB	Output is correct
76	Correct	30 ms	392 KB	Output is correct
77	Correct	80 ms	404 KB	Output is correct
78	Correct	80 ms	400 KB	Output is correct
79	Correct	80 ms	448 KB	Output is correct
80	Correct	77 ms	388 KB	Output is correct
81	Correct	76 ms	424 KB	Output is correct
82	Correct	75 ms	400 KB	Output is correct
83	Correct	81 ms	596 KB	Output is correct
84	Correct	74 ms	424 KB	Output is correct
85	Correct	93 ms	376 KB	Output is correct
86	Correct	86 ms	408 KB	Output is correct
87	Correct	87 ms	464 KB	Output is correct
88	Correct	94 ms	488 KB	Output is correct
89	Correct	86 ms	460 KB	Output is correct
90	Correct	83 ms	380 KB	Output is correct
91	Correct	82 ms	440 KB	Output is correct
92	Correct	84 ms	460 KB	Output is correct

Subtask #5
37.0 / 37.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	1 ms	328 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	0 ms	332 KB	Output is correct
7	Correct	0 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	0 ms	212 KB	Output is correct
12	Correct	0 ms	336 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	0 ms	212 KB	Output is correct
16	Correct	0 ms	212 KB	Output is correct
17	Correct	0 ms	336 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	0 ms	332 KB	Output is correct
20	Correct	1 ms	212 KB	Output is correct
21	Correct	1 ms	212 KB	Output is correct
22	Correct	0 ms	212 KB	Output is correct
23	Correct	0 ms	212 KB	Output is correct
24	Correct	1 ms	212 KB	Output is correct
25	Correct	1 ms	212 KB	Output is correct
26	Correct	0 ms	212 KB	Output is correct
27	Correct	1 ms	212 KB	Output is correct
28	Correct	0 ms	212 KB	Output is correct
29	Correct	1 ms	328 KB	Output is correct
30	Correct	0 ms	332 KB	Output is correct
31	Correct	1 ms	212 KB	Output is correct
32	Correct	1 ms	336 KB	Output is correct
33	Correct	1 ms	212 KB	Output is correct
34	Correct	1 ms	212 KB	Output is correct
35	Correct	1 ms	212 KB	Output is correct
36	Correct	1 ms	212 KB	Output is correct
37	Correct	1 ms	212 KB	Output is correct
38	Correct	1 ms	212 KB	Output is correct
39	Correct	1 ms	212 KB	Output is correct
40	Correct	1 ms	212 KB	Output is correct
41	Correct	1 ms	212 KB	Output is correct
42	Correct	1 ms	332 KB	Output is correct
43	Correct	1 ms	212 KB	Output is correct
44	Correct	1 ms	212 KB	Output is correct
45	Correct	1 ms	212 KB	Output is correct
46	Correct	1 ms	212 KB	Output is correct
47	Correct	1 ms	212 KB	Output is correct
48	Correct	1 ms	212 KB	Output is correct
49	Correct	1 ms	212 KB	Output is correct
50	Correct	1 ms	212 KB	Output is correct
51	Correct	1 ms	328 KB	Output is correct
52	Correct	1 ms	328 KB	Output is correct
53	Correct	1 ms	212 KB	Output is correct
54	Correct	1 ms	212 KB	Output is correct
55	Correct	1 ms	212 KB	Output is correct
56	Correct	1 ms	340 KB	Output is correct
57	Correct	1 ms	212 KB	Output is correct
58	Correct	1 ms	212 KB	Output is correct
59	Correct	1 ms	332 KB	Output is correct
60	Correct	1 ms	328 KB	Output is correct
61	Correct	1 ms	332 KB	Output is correct
62	Correct	1 ms	328 KB	Output is correct
63	Correct	1 ms	212 KB	Output is correct
64	Correct	1 ms	212 KB	Output is correct
65	Correct	28 ms	360 KB	Output is correct
66	Correct	27 ms	340 KB	Output is correct
67	Correct	27 ms	376 KB	Output is correct
68	Correct	27 ms	388 KB	Output is correct
69	Correct	32 ms	340 KB	Output is correct
70	Correct	31 ms	492 KB	Output is correct
71	Correct	31 ms	332 KB	Output is correct
72	Correct	32 ms	388 KB	Output is correct
73	Correct	29 ms	332 KB	Output is correct
74	Correct	29 ms	380 KB	Output is correct
75	Correct	29 ms	396 KB	Output is correct
76	Correct	30 ms	392 KB	Output is correct
77	Correct	80 ms	404 KB	Output is correct
78	Correct	80 ms	400 KB	Output is correct
79	Correct	80 ms	448 KB	Output is correct
80	Correct	77 ms	388 KB	Output is correct
81	Correct	76 ms	424 KB	Output is correct
82	Correct	75 ms	400 KB	Output is correct
83	Correct	81 ms	596 KB	Output is correct
84	Correct	74 ms	424 KB	Output is correct
85	Correct	93 ms	376 KB	Output is correct
86	Correct	86 ms	408 KB	Output is correct
87	Correct	87 ms	464 KB	Output is correct
88	Correct	94 ms	488 KB	Output is correct
89	Correct	86 ms	460 KB	Output is correct
90	Correct	83 ms	380 KB	Output is correct
91	Correct	82 ms	440 KB	Output is correct
92	Correct	84 ms	460 KB	Output is correct
93	Correct	2324 ms	1508 KB	Output is correct
94	Correct	2314 ms	1780 KB	Output is correct
95	Correct	2361 ms	1548 KB	Output is correct
96	Correct	2144 ms	1676 KB	Output is correct
97	Correct	2109 ms	1472 KB	Output is correct
98	Correct	2163 ms	1672 KB	Output is correct
99	Correct	237 ms	572 KB	Output is correct
100	Correct	227 ms	624 KB	Output is correct
101	Correct	236 ms	952 KB	Output is correct
102	Correct	221 ms	616 KB	Output is correct
103	Correct	937 ms	908 KB	Output is correct
104	Correct	775 ms	1012 KB	Output is correct
105	Correct	727 ms	1180 KB	Output is correct
106	Correct	666 ms	952 KB	Output is correct
107	Correct	2859 ms	1692 KB	Output is correct
108	Correct	2101 ms	1700 KB	Output is correct
109	Correct	2011 ms	1596 KB	Output is correct
110	Correct	1941 ms	1676 KB	Output is correct
111	Correct	219 ms	632 KB	Output is correct
112	Correct	219 ms	588 KB	Output is correct
113	Correct	214 ms	600 KB	Output is correct
114	Correct	272 ms	588 KB	Output is correct
115	Correct	259 ms	588 KB	Output is correct
116	Correct	262 ms	556 KB	Output is correct
117	Correct	263 ms	564 KB	Output is correct
118	Correct	238 ms	584 KB	Output is correct
119	Correct	244 ms	556 KB	Output is correct
120	Correct	240 ms	564 KB	Output is correct
121	Correct	253 ms	588 KB	Output is correct
122	Correct	651 ms	904 KB	Output is correct
123	Correct	643 ms	876 KB	Output is correct
124	Correct	650 ms	1016 KB	Output is correct
125	Correct	647 ms	1112 KB	Output is correct
126	Correct	631 ms	844 KB	Output is correct
127	Correct	629 ms	948 KB	Output is correct
128	Correct	621 ms	936 KB	Output is correct
129	Correct	666 ms	936 KB	Output is correct
130	Correct	626 ms	904 KB	Output is correct
131	Correct	848 ms	960 KB	Output is correct
132	Correct	756 ms	884 KB	Output is correct
133	Correct	841 ms	944 KB	Output is correct
134	Correct	790 ms	892 KB	Output is correct
135	Correct	709 ms	1176 KB	Output is correct
136	Correct	745 ms	932 KB	Output is correct
137	Correct	733 ms	972 KB	Output is correct
138	Correct	741 ms	1104 KB	Output is correct
139	Correct	676 ms	948 KB	Output is correct
140	Correct	667 ms	912 KB	Output is correct
141	Correct	704 ms	1048 KB	Output is correct
142	Correct	1902 ms	1456 KB	Output is correct
143	Correct	1907 ms	1560 KB	Output is correct
144	Correct	1859 ms	1540 KB	Output is correct
145	Correct	1844 ms	1708 KB	Output is correct
146	Correct	1849 ms	1484 KB	Output is correct
147	Correct	1846 ms	1608 KB	Output is correct
148	Correct	1913 ms	1500 KB	Output is correct
149	Correct	1887 ms	1568 KB	Output is correct
150	Correct	1917 ms	1544 KB	Output is correct
151	Correct	1966 ms	1524 KB	Output is correct
152	Correct	1950 ms	1496 KB	Output is correct
153	Correct	2152 ms	1540 KB	Output is correct
154	Correct	2220 ms	1684 KB	Output is correct
155	Correct	2357 ms	1548 KB	Output is correct
156	Correct	2397 ms	1504 KB	Output is correct
157	Correct	2268 ms	1584 KB	Output is correct
158	Correct	2235 ms	1584 KB	Output is correct
159	Correct	2033 ms	1712 KB	Output is correct
160	Correct	2189 ms	1592 KB	Output is correct
161	Correct	2115 ms	1680 KB	Output is correct
162	Correct	1960 ms	1484 KB	Output is correct
163	Correct	2114 ms	1584 KB	Output is correct
164	Correct	1993 ms	1544 KB	Output is correct
165	Correct	1996 ms	1564 KB	Output is correct
166	Correct	2012 ms	1572 KB	Output is correct
167	Correct	2029 ms	1484 KB	Output is correct

답안 #670210

Compilation message

Subtask #1 7.0 / 7.0

Subtask #2 12.0 / 12.0

Subtask #3 23.0 / 23.0

Subtask #4 21.0 / 21.0

Subtask #5 37.0 / 37.0

Subtask #1
7.0 / 7.0

Subtask #2
12.0 / 12.0

Subtask #3
23.0 / 23.0

Subtask #4
21.0 / 21.0

Subtask #5
37.0 / 37.0