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Submission #1093166

# Submission time Handle Problem Language Result Execution time Memory
1093166 2024-09-26T06:45:17 Z windowwife Swapping Cities (APIO20_swap) C++14
100 / 100
 218 ms 78160 KB 
#include<bits/stdc++.h>
#define ll long long
using namespace std;
const ll maxn = 1e6 + 2, LG = 20, inf = 1e18;
int n, m, pu, pv, u[maxn], v[maxn], w[maxn], d[maxn], par[maxn], id[maxn], deg[maxn], st[LG][maxn], res[maxn];
bool good[maxn];
vector<int> adj[maxn];
bool cmp (int x, int y)
{
    return w[x] < w[y];
}
int find_set (int u)
{
    if (par[u] < 0) return u;
    return (par[u] = find_set(par[u]));
}
void union_set (int i)
{
    deg[u[id[i]]]++; deg[v[id[i]]]++;
    pu = find_set(u[id[i]]); pv = find_set(v[id[i]]);
    if (pu == pv)
    {
        par[n + i] += par[pu];
        par[pu] = n + i;
        adj[n + i].push_back(pu);
        good[n + i] = true;
    }
    else
    {
        par[n + i] += par[pu];
        par[n + i] += par[pv];
        par[pu] = par[pv] = n + i;
        adj[n + i].push_back(pu);
        adj[n + i].push_back(pv);
        if (deg[u[id[i]]] > 2 || deg[v[id[i]]] > 2 || good[pu] || good[pv]) good[n + i] = true;
    }
}
void dfs (int u, int p)
{
    st[0][u] = p;
    if (good[u]) res[u] = w[id[u - n]];
    else res[u] = res[p];
    for (int v : adj[u])
    {
        d[v] = d[u] + 1;
        dfs(v, u);
    }
}
int lca (int u, int v)
{
    if (d[u] < d[v]) swap(u, v);
    int diff = d[u] - d[v];
    for (int j = LG - 1; j >= 0; j--)
        if ((diff >> j) & 1)
        {
            diff ^= (1 << j);
            u = st[j][u];
        }
    if (u == v) return u;
    for (int j = LG - 1; j >= 0; j--)
        if (st[j][u] != st[j][v])
        {
            u = st[j][u];
            v = st[j][v];
        }
    return st[0][u];
}
void init (int N, int M, vector<int> U, vector<int> V, vector<int> W)
{
    n = N; m = M;
    for (int i = 1; i <= n; i++) par[i] = -1;
    for (int i = m; i >= 1; i--)
    {
        u[i] = U[i - 1] + 1;
        v[i] = V[i - 1] + 1;
        w[i] = W[i - 1];
        id[i] = i;
    }
    sort(id + 1, id + m + 1, cmp);
    for (int i = 1; i <= m; i++) union_set(i);
    res[0] = -1;
    dfs(n + m, 0);
    for (int j = 1; j < LG; j++)
        for (int i = 1; i <= n + m; i++)
            st[j][i] = st[j - 1][st[j - 1][i]];
}
int getMinimumFuelCapacity (int X, int Y)
{
    X++; Y++;
    return res[lca(X, Y)];
}
#ifdef rtgsp
int main() {
    //freopen(".inp", "r", stdin);
    //freopen(".out", "w", stdout);
    int N, M, Q;
	cin >> N >> M >> Q;
	vector<int> U(M), V(M), W(M);
	for (int i = 0; i < M; i++) cin >> U[i];
	for (int i = 0; i < M; i++) cin >> V[i];
	for (int i = 0; i < M; i++) cin >> W[i];
	init(N, M, U, V, W);
    while (Q--)
    {
        int X, Y;
        cin >> X >> Y;
        cout << getMinimumFuelCapacity(X, Y) << '\n';
    }
}
#endif

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23896 KB Output is correct
2 Correct 11 ms 24156 KB Output is correct
3 Correct 11 ms 23900 KB Output is correct
4 Correct 13 ms 24260 KB Output is correct
5 Correct 10 ms 24152 KB Output is correct
6 Correct 11 ms 24196 KB Output is correct
7 Correct 11 ms 24412 KB Output is correct
8 Correct 12 ms 24416 KB Output is correct
9 Correct 59 ms 45660 KB Output is correct
10 Correct 69 ms 50528 KB Output is correct
11 Correct 84 ms 50012 KB Output is correct
12 Correct 73 ms 51704 KB Output is correct
13 Correct 65 ms 53948 KB Output is correct
14 Correct 70 ms 45920 KB Output is correct
15 Correct 148 ms 54760 KB Output is correct
16 Correct 139 ms 54028 KB Output is correct
17 Correct 151 ms 55748 KB Output is correct
18 Correct 176 ms 57968 KB Output is correct
19 Correct 65 ms 33368 KB Output is correct
20 Correct 132 ms 56012 KB Output is correct
21 Correct 132 ms 55176 KB Output is correct
22 Correct 189 ms 56960 KB Output is correct
23 Correct 181 ms 59320 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23896 KB Output is correct
2 Correct 11 ms 24156 KB Output is correct
3 Correct 152 ms 59472 KB Output is correct
4 Correct 155 ms 60852 KB Output is correct
5 Correct 160 ms 60136 KB Output is correct
6 Correct 159 ms 60600 KB Output is correct
7 Correct 162 ms 60744 KB Output is correct
8 Correct 161 ms 59396 KB Output is correct
9 Correct 167 ms 60192 KB Output is correct
10 Correct 155 ms 58896 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23896 KB Output is correct
2 Correct 11 ms 24156 KB Output is correct
3 Correct 11 ms 23900 KB Output is correct
4 Correct 13 ms 24260 KB Output is correct
5 Correct 10 ms 24152 KB Output is correct
6 Correct 11 ms 24196 KB Output is correct
7 Correct 11 ms 24412 KB Output is correct
8 Correct 12 ms 24416 KB Output is correct
9 Correct 11 ms 24156 KB Output is correct
10 Correct 11 ms 24348 KB Output is correct
11 Correct 13 ms 24204 KB Output is correct
12 Correct 12 ms 24196 KB Output is correct
13 Correct 11 ms 24156 KB Output is correct
14 Correct 11 ms 24152 KB Output is correct
15 Correct 10 ms 24284 KB Output is correct
16 Correct 12 ms 24412 KB Output is correct
17 Correct 12 ms 24408 KB Output is correct
18 Correct 12 ms 24412 KB Output is correct
19 Correct 11 ms 24180 KB Output is correct
20 Correct 10 ms 24228 KB Output is correct
21 Correct 10 ms 24412 KB Output is correct
22 Correct 14 ms 24324 KB Output is correct
23 Correct 11 ms 24152 KB Output is correct
24 Correct 11 ms 24440 KB Output is correct
25 Correct 11 ms 24412 KB Output is correct
26 Correct 17 ms 24412 KB Output is correct
27 Correct 11 ms 24464 KB Output is correct
28 Correct 12 ms 24508 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 24156 KB Output is correct
2 Correct 12 ms 23896 KB Output is correct
3 Correct 11 ms 24156 KB Output is correct
4 Correct 11 ms 23900 KB Output is correct
5 Correct 13 ms 24260 KB Output is correct
6 Correct 10 ms 24152 KB Output is correct
7 Correct 11 ms 24196 KB Output is correct
8 Correct 11 ms 24412 KB Output is correct
9 Correct 12 ms 24416 KB Output is correct
10 Correct 59 ms 45660 KB Output is correct
11 Correct 69 ms 50528 KB Output is correct
12 Correct 84 ms 50012 KB Output is correct
13 Correct 73 ms 51704 KB Output is correct
14 Correct 65 ms 53948 KB Output is correct
15 Correct 11 ms 24348 KB Output is correct
16 Correct 13 ms 24204 KB Output is correct
17 Correct 12 ms 24196 KB Output is correct
18 Correct 11 ms 24156 KB Output is correct
19 Correct 11 ms 24152 KB Output is correct
20 Correct 10 ms 24284 KB Output is correct
21 Correct 12 ms 24412 KB Output is correct
22 Correct 12 ms 24408 KB Output is correct
23 Correct 12 ms 24412 KB Output is correct
24 Correct 11 ms 24180 KB Output is correct
25 Correct 10 ms 24228 KB Output is correct
26 Correct 10 ms 24412 KB Output is correct
27 Correct 14 ms 24324 KB Output is correct
28 Correct 11 ms 24152 KB Output is correct
29 Correct 11 ms 24440 KB Output is correct
30 Correct 11 ms 24412 KB Output is correct
31 Correct 17 ms 24412 KB Output is correct
32 Correct 11 ms 24464 KB Output is correct
33 Correct 12 ms 24508 KB Output is correct
34 Correct 21 ms 27884 KB Output is correct
35 Correct 68 ms 51296 KB Output is correct
36 Correct 74 ms 51296 KB Output is correct
37 Correct 71 ms 51296 KB Output is correct
38 Correct 70 ms 50912 KB Output is correct
39 Correct 70 ms 50788 KB Output is correct
40 Correct 63 ms 48740 KB Output is correct
41 Correct 74 ms 51664 KB Output is correct
42 Correct 70 ms 51364 KB Output is correct
43 Correct 66 ms 54368 KB Output is correct
44 Correct 74 ms 51808 KB Output is correct
45 Correct 106 ms 62560 KB Output is correct
46 Correct 73 ms 51292 KB Output is correct
47 Correct 70 ms 51552 KB Output is correct
48 Correct 83 ms 54880 KB Output is correct
49 Correct 92 ms 59744 KB Output is correct
50 Correct 70 ms 52064 KB Output is correct
51 Correct 89 ms 57684 KB Output is correct
52 Correct 114 ms 65620 KB Output is correct
53 Correct 128 ms 68664 KB Output is correct
54 Correct 139 ms 74280 KB Output is correct
55 Correct 70 ms 54096 KB Output is correct
56 Correct 129 ms 69456 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23896 KB Output is correct
2 Correct 11 ms 24156 KB Output is correct
3 Correct 11 ms 23900 KB Output is correct
4 Correct 13 ms 24260 KB Output is correct
5 Correct 10 ms 24152 KB Output is correct
6 Correct 11 ms 24196 KB Output is correct
7 Correct 11 ms 24412 KB Output is correct
8 Correct 12 ms 24416 KB Output is correct
9 Correct 59 ms 45660 KB Output is correct
10 Correct 69 ms 50528 KB Output is correct
11 Correct 84 ms 50012 KB Output is correct
12 Correct 73 ms 51704 KB Output is correct
13 Correct 65 ms 53948 KB Output is correct
14 Correct 70 ms 45920 KB Output is correct
15 Correct 148 ms 54760 KB Output is correct
16 Correct 139 ms 54028 KB Output is correct
17 Correct 151 ms 55748 KB Output is correct
18 Correct 176 ms 57968 KB Output is correct
19 Correct 152 ms 59472 KB Output is correct
20 Correct 155 ms 60852 KB Output is correct
21 Correct 160 ms 60136 KB Output is correct
22 Correct 159 ms 60600 KB Output is correct
23 Correct 162 ms 60744 KB Output is correct
24 Correct 161 ms 59396 KB Output is correct
25 Correct 167 ms 60192 KB Output is correct
26 Correct 155 ms 58896 KB Output is correct
27 Correct 11 ms 24348 KB Output is correct
28 Correct 13 ms 24204 KB Output is correct
29 Correct 12 ms 24196 KB Output is correct
30 Correct 11 ms 24156 KB Output is correct
31 Correct 11 ms 24152 KB Output is correct
32 Correct 10 ms 24284 KB Output is correct
33 Correct 12 ms 24412 KB Output is correct
34 Correct 12 ms 24408 KB Output is correct
35 Correct 12 ms 24412 KB Output is correct
36 Correct 21 ms 27884 KB Output is correct
37 Correct 68 ms 51296 KB Output is correct
38 Correct 74 ms 51296 KB Output is correct
39 Correct 71 ms 51296 KB Output is correct
40 Correct 70 ms 50912 KB Output is correct
41 Correct 70 ms 50788 KB Output is correct
42 Correct 63 ms 48740 KB Output is correct
43 Correct 74 ms 51664 KB Output is correct
44 Correct 70 ms 51364 KB Output is correct
45 Correct 66 ms 54368 KB Output is correct
46 Correct 74 ms 51808 KB Output is correct
47 Correct 25 ms 27992 KB Output is correct
48 Correct 144 ms 56248 KB Output is correct
49 Correct 150 ms 56316 KB Output is correct
50 Correct 144 ms 56292 KB Output is correct
51 Correct 142 ms 56064 KB Output is correct
52 Correct 134 ms 54528 KB Output is correct
53 Correct 120 ms 48092 KB Output is correct
54 Correct 164 ms 57016 KB Output is correct
55 Correct 138 ms 56192 KB Output is correct
56 Correct 196 ms 58812 KB Output is correct
57 Correct 149 ms 57272 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 24156 KB Output is correct
2 Correct 12 ms 23896 KB Output is correct
3 Correct 11 ms 24156 KB Output is correct
4 Correct 11 ms 23900 KB Output is correct
5 Correct 13 ms 24260 KB Output is correct
6 Correct 10 ms 24152 KB Output is correct
7 Correct 11 ms 24196 KB Output is correct
8 Correct 11 ms 24412 KB Output is correct
9 Correct 12 ms 24416 KB Output is correct
10 Correct 59 ms 45660 KB Output is correct
11 Correct 69 ms 50528 KB Output is correct
12 Correct 84 ms 50012 KB Output is correct
13 Correct 73 ms 51704 KB Output is correct
14 Correct 65 ms 53948 KB Output is correct
15 Correct 70 ms 45920 KB Output is correct
16 Correct 148 ms 54760 KB Output is correct
17 Correct 139 ms 54028 KB Output is correct
18 Correct 151 ms 55748 KB Output is correct
19 Correct 176 ms 57968 KB Output is correct
20 Correct 152 ms 59472 KB Output is correct
21 Correct 155 ms 60852 KB Output is correct
22 Correct 160 ms 60136 KB Output is correct
23 Correct 159 ms 60600 KB Output is correct
24 Correct 162 ms 60744 KB Output is correct
25 Correct 161 ms 59396 KB Output is correct
26 Correct 167 ms 60192 KB Output is correct
27 Correct 155 ms 58896 KB Output is correct
28 Correct 11 ms 24348 KB Output is correct
29 Correct 13 ms 24204 KB Output is correct
30 Correct 12 ms 24196 KB Output is correct
31 Correct 11 ms 24156 KB Output is correct
32 Correct 11 ms 24152 KB Output is correct
33 Correct 10 ms 24284 KB Output is correct
34 Correct 12 ms 24412 KB Output is correct
35 Correct 12 ms 24408 KB Output is correct
36 Correct 12 ms 24412 KB Output is correct
37 Correct 21 ms 27884 KB Output is correct
38 Correct 68 ms 51296 KB Output is correct
39 Correct 74 ms 51296 KB Output is correct
40 Correct 71 ms 51296 KB Output is correct
41 Correct 70 ms 50912 KB Output is correct
42 Correct 70 ms 50788 KB Output is correct
43 Correct 63 ms 48740 KB Output is correct
44 Correct 74 ms 51664 KB Output is correct
45 Correct 70 ms 51364 KB Output is correct
46 Correct 66 ms 54368 KB Output is correct
47 Correct 74 ms 51808 KB Output is correct
48 Correct 25 ms 27992 KB Output is correct
49 Correct 144 ms 56248 KB Output is correct
50 Correct 150 ms 56316 KB Output is correct
51 Correct 144 ms 56292 KB Output is correct
52 Correct 142 ms 56064 KB Output is correct
53 Correct 134 ms 54528 KB Output is correct
54 Correct 120 ms 48092 KB Output is correct
55 Correct 164 ms 57016 KB Output is correct
56 Correct 138 ms 56192 KB Output is correct
57 Correct 196 ms 58812 KB Output is correct
58 Correct 149 ms 57272 KB Output is correct
59 Correct 65 ms 33368 KB Output is correct
60 Correct 132 ms 56012 KB Output is correct
61 Correct 132 ms 55176 KB Output is correct
62 Correct 189 ms 56960 KB Output is correct
63 Correct 181 ms 59320 KB Output is correct
64 Correct 11 ms 24180 KB Output is correct
65 Correct 10 ms 24228 KB Output is correct
66 Correct 10 ms 24412 KB Output is correct
67 Correct 14 ms 24324 KB Output is correct
68 Correct 11 ms 24152 KB Output is correct
69 Correct 11 ms 24440 KB Output is correct
70 Correct 11 ms 24412 KB Output is correct
71 Correct 17 ms 24412 KB Output is correct
72 Correct 11 ms 24464 KB Output is correct
73 Correct 12 ms 24508 KB Output is correct
74 Correct 106 ms 62560 KB Output is correct
75 Correct 73 ms 51292 KB Output is correct
76 Correct 70 ms 51552 KB Output is correct
77 Correct 83 ms 54880 KB Output is correct
78 Correct 92 ms 59744 KB Output is correct
79 Correct 70 ms 52064 KB Output is correct
80 Correct 89 ms 57684 KB Output is correct
81 Correct 114 ms 65620 KB Output is correct
82 Correct 128 ms 68664 KB Output is correct
83 Correct 139 ms 74280 KB Output is correct
84 Correct 70 ms 54096 KB Output is correct
85 Correct 129 ms 69456 KB Output is correct
86 Correct 62 ms 38404 KB Output is correct
87 Correct 148 ms 56300 KB Output is correct
88 Correct 133 ms 56248 KB Output is correct
89 Correct 181 ms 58220 KB Output is correct
90 Correct 150 ms 65628 KB Output is correct
91 Correct 161 ms 63096 KB Output is correct
92 Correct 182 ms 61180 KB Output is correct
93 Correct 212 ms 69864 KB Output is correct
94 Correct 218 ms 73264 KB Output is correct
95 Correct 207 ms 78160 KB Output is correct
96 Correct 182 ms 59068 KB Output is correct
97 Correct 196 ms 66032 KB Output is correct