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Submission #1094335

# Submission time Handle Problem Language Result Execution time Memory
1094335 2024-09-29T10:47:33 Z vjudge1 Swapping Cities (APIO20_swap) C++17
100 / 100
 208 ms 80684 KB 
#include <bits/stdc++.h>
using namespace std;
using lli = long long;
const int maxN = 1e6 + 5;
const int LG = 21;
int n,m,node,dsu[maxN],val[maxN],deg[maxN];
int up[LG][maxN],lg[maxN],res[maxN],dep[maxN];
bool swp[maxN];
vector<int> adj[maxN];
struct Tedge
{
    int x,y,w;
}
e[maxN];
int findset(int u)
{
    return dsu[u] == u ? u : dsu[u] = findset(dsu[u]);
}
void add(int u,int v,int w)
{
    int v1 = v,u1 = u;
    deg[u]++;deg[v]++;
    ++node;
    u = findset(u);v = findset(v);
    dsu[u] = dsu[v] = node;
    dsu[node] = node;
    val[node] = w;
    adj[node].push_back(u);
    if (u != v) adj[node].push_back(v);
    if (u == v || swp[u] || swp[v] || deg[u1] > 2 || deg[v1] > 2) swp[node] = true;
    else swp[node] = false;
}
bool cmp(const Tedge& a,const Tedge& b)
{
    return a.w < b.w;
}
void dfs(int u,int par)
{
    if (swp[u]) res[u] = val[u];
    else res[u] = res[par];
    up[0][u] = par;
    for (int v : adj[u])
    {
        dep[v] = dep[u] + 1;
        dfs(v,u);
    }
}
void presolve()
{
    lg[1] = 0;
    for (int i = 2;i <= node;++i) lg[i] = lg[i / 2] + 1;
    for (int j = 1;j < LG;++j)
        for (int i = 1;i <= node;++i)
        up[j][i] = up[j - 1][up[j - 1][i]];
}
int lca(int u,int v)
{
    int u1 = u,v1 = v;
    if (dep[u] < dep[v]) swap(u,v);
    int k = dep[u] - dep[v];
    for (int i = lg[k];i >= 0;--i)
        if (k & (1 << i)) u = up[i][u];
    if (u == v) return u;
    k = dep[u];
    for (int i = lg[k];i >= 0;--i)
    {
        if (up[i][u] != up[i][v])
        {
            u = up[i][u];
            v = up[i][v];
        }
    }
    return up[0][u];
}
void init(int N,int M,vector<int> U,vector<int> V,vector<int> W)
{
    n = N;m = M;
    node = n;
    for (int i = 1;i <= M;++i)
    {
        e[i].x = U[i - 1] + 1;
        e[i].y = V[i - 1] + 1;
        e[i].w = W[i - 1];
    }
    sort(e + 1,e + m + 1,cmp);
    for (int i = 1;i <= n;++i)
    {
        dsu[i] = i;
        if (deg[i] >= 3) swp[i] = true;
        else swp[i] = false;
    }
    for (int i = 1;i <= m;++i)
    {
        //cout << e[i].x << " " << e[i].y << " " << e[i].w << "\n";
        add(e[i].x,e[i].y,e[i].w);
    }
    //cout << "A\n";
    //for (int i = 1;i <= node;++i) for (int v : adj[i]) cout << i << " " << v << "\n";
    res[0] = -1;dep[node] = 0;
    dfs(node,0);
    presolve();
}
int getMinimumFuelCapacity(int X, int Y)
{
    ++X,++Y;
    //cout << X << " " << Y << " " << swp[lca(X,Y)] << " ";
    return res[lca(X,Y)];
}

Compilation message

swap.cpp: In function 'int lca(int, int)':
swap.cpp:58:9: warning: unused variable 'u1' [-Wunused-variable]
   58 |     int u1 = u,v1 = v;
      |         ^~
swap.cpp:58:16: warning: unused variable 'v1' [-Wunused-variable]
   58 |     int u1 = u,v1 = v;
      |                ^~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 24152 KB Output is correct
2 Correct 11 ms 23896 KB Output is correct
3 Correct 12 ms 24156 KB Output is correct
4 Correct 12 ms 24156 KB Output is correct
5 Correct 11 ms 24412 KB Output is correct
6 Correct 11 ms 24156 KB Output is correct
7 Correct 11 ms 24412 KB Output is correct
8 Correct 11 ms 24412 KB Output is correct
9 Correct 60 ms 46932 KB Output is correct
10 Correct 74 ms 52060 KB Output is correct
11 Correct 63 ms 51800 KB Output is correct
12 Correct 69 ms 53388 KB Output is correct
13 Correct 64 ms 55804 KB Output is correct
14 Correct 65 ms 47440 KB Output is correct
15 Correct 116 ms 56544 KB Output is correct
16 Correct 121 ms 55808 KB Output is correct
17 Correct 122 ms 57524 KB Output is correct
18 Correct 185 ms 59788 KB Output is correct
19 Correct 60 ms 33876 KB Output is correct
20 Correct 116 ms 57552 KB Output is correct
21 Correct 124 ms 56844 KB Output is correct
22 Correct 126 ms 58804 KB Output is correct
23 Correct 183 ms 61116 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 24152 KB Output is correct
2 Correct 11 ms 23896 KB Output is correct
3 Correct 168 ms 60916 KB Output is correct
4 Correct 170 ms 62620 KB Output is correct
5 Correct 168 ms 61932 KB Output is correct
6 Correct 162 ms 62392 KB Output is correct
7 Correct 158 ms 62160 KB Output is correct
8 Correct 160 ms 60932 KB Output is correct
9 Correct 150 ms 61788 KB Output is correct
10 Correct 149 ms 60436 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 24152 KB Output is correct
2 Correct 11 ms 23896 KB Output is correct
3 Correct 12 ms 24156 KB Output is correct
4 Correct 12 ms 24156 KB Output is correct
5 Correct 11 ms 24412 KB Output is correct
6 Correct 11 ms 24156 KB Output is correct
7 Correct 11 ms 24412 KB Output is correct
8 Correct 11 ms 24412 KB Output is correct
9 Correct 9 ms 24156 KB Output is correct
10 Correct 9 ms 24280 KB Output is correct
11 Correct 10 ms 24408 KB Output is correct
12 Correct 10 ms 24412 KB Output is correct
13 Correct 10 ms 24156 KB Output is correct
14 Correct 10 ms 24360 KB Output is correct
15 Correct 10 ms 24412 KB Output is correct
16 Correct 9 ms 24272 KB Output is correct
17 Correct 10 ms 24408 KB Output is correct
18 Correct 10 ms 24412 KB Output is correct
19 Correct 10 ms 24412 KB Output is correct
20 Correct 9 ms 24412 KB Output is correct
21 Correct 10 ms 24304 KB Output is correct
22 Correct 10 ms 24412 KB Output is correct
23 Correct 10 ms 24132 KB Output is correct
24 Correct 10 ms 24412 KB Output is correct
25 Correct 10 ms 24616 KB Output is correct
26 Correct 10 ms 24412 KB Output is correct
27 Correct 10 ms 24412 KB Output is correct
28 Correct 12 ms 24412 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 24156 KB Output is correct
2 Correct 13 ms 24152 KB Output is correct
3 Correct 11 ms 23896 KB Output is correct
4 Correct 12 ms 24156 KB Output is correct
5 Correct 12 ms 24156 KB Output is correct
6 Correct 11 ms 24412 KB Output is correct
7 Correct 11 ms 24156 KB Output is correct
8 Correct 11 ms 24412 KB Output is correct
9 Correct 11 ms 24412 KB Output is correct
10 Correct 60 ms 46932 KB Output is correct
11 Correct 74 ms 52060 KB Output is correct
12 Correct 63 ms 51800 KB Output is correct
13 Correct 69 ms 53388 KB Output is correct
14 Correct 64 ms 55804 KB Output is correct
15 Correct 9 ms 24280 KB Output is correct
16 Correct 10 ms 24408 KB Output is correct
17 Correct 10 ms 24412 KB Output is correct
18 Correct 10 ms 24156 KB Output is correct
19 Correct 10 ms 24360 KB Output is correct
20 Correct 10 ms 24412 KB Output is correct
21 Correct 9 ms 24272 KB Output is correct
22 Correct 10 ms 24408 KB Output is correct
23 Correct 10 ms 24412 KB Output is correct
24 Correct 10 ms 24412 KB Output is correct
25 Correct 9 ms 24412 KB Output is correct
26 Correct 10 ms 24304 KB Output is correct
27 Correct 10 ms 24412 KB Output is correct
28 Correct 10 ms 24132 KB Output is correct
29 Correct 10 ms 24412 KB Output is correct
30 Correct 10 ms 24616 KB Output is correct
31 Correct 10 ms 24412 KB Output is correct
32 Correct 10 ms 24412 KB Output is correct
33 Correct 12 ms 24412 KB Output is correct
34 Correct 16 ms 27992 KB Output is correct
35 Correct 61 ms 53076 KB Output is correct
36 Correct 60 ms 52952 KB Output is correct
37 Correct 64 ms 52864 KB Output is correct
38 Correct 60 ms 52736 KB Output is correct
39 Correct 63 ms 52560 KB Output is correct
40 Correct 58 ms 50180 KB Output is correct
41 Correct 71 ms 53380 KB Output is correct
42 Correct 67 ms 53076 KB Output is correct
43 Correct 63 ms 56172 KB Output is correct
44 Correct 70 ms 53328 KB Output is correct
45 Correct 98 ms 64340 KB Output is correct
46 Correct 67 ms 53076 KB Output is correct
47 Correct 66 ms 53076 KB Output is correct
48 Correct 82 ms 56660 KB Output is correct
49 Correct 82 ms 60988 KB Output is correct
50 Correct 65 ms 52988 KB Output is correct
51 Correct 80 ms 58964 KB Output is correct
52 Correct 100 ms 67828 KB Output is correct
53 Correct 116 ms 70996 KB Output is correct
54 Correct 121 ms 76888 KB Output is correct
55 Correct 56 ms 55892 KB Output is correct
56 Correct 117 ms 71760 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 24152 KB Output is correct
2 Correct 11 ms 23896 KB Output is correct
3 Correct 12 ms 24156 KB Output is correct
4 Correct 12 ms 24156 KB Output is correct
5 Correct 11 ms 24412 KB Output is correct
6 Correct 11 ms 24156 KB Output is correct
7 Correct 11 ms 24412 KB Output is correct
8 Correct 11 ms 24412 KB Output is correct
9 Correct 60 ms 46932 KB Output is correct
10 Correct 74 ms 52060 KB Output is correct
11 Correct 63 ms 51800 KB Output is correct
12 Correct 69 ms 53388 KB Output is correct
13 Correct 64 ms 55804 KB Output is correct
14 Correct 65 ms 47440 KB Output is correct
15 Correct 116 ms 56544 KB Output is correct
16 Correct 121 ms 55808 KB Output is correct
17 Correct 122 ms 57524 KB Output is correct
18 Correct 185 ms 59788 KB Output is correct
19 Correct 168 ms 60916 KB Output is correct
20 Correct 170 ms 62620 KB Output is correct
21 Correct 168 ms 61932 KB Output is correct
22 Correct 162 ms 62392 KB Output is correct
23 Correct 158 ms 62160 KB Output is correct
24 Correct 160 ms 60932 KB Output is correct
25 Correct 150 ms 61788 KB Output is correct
26 Correct 149 ms 60436 KB Output is correct
27 Correct 9 ms 24280 KB Output is correct
28 Correct 10 ms 24408 KB Output is correct
29 Correct 10 ms 24412 KB Output is correct
30 Correct 10 ms 24156 KB Output is correct
31 Correct 10 ms 24360 KB Output is correct
32 Correct 10 ms 24412 KB Output is correct
33 Correct 9 ms 24272 KB Output is correct
34 Correct 10 ms 24408 KB Output is correct
35 Correct 10 ms 24412 KB Output is correct
36 Correct 16 ms 27992 KB Output is correct
37 Correct 61 ms 53076 KB Output is correct
38 Correct 60 ms 52952 KB Output is correct
39 Correct 64 ms 52864 KB Output is correct
40 Correct 60 ms 52736 KB Output is correct
41 Correct 63 ms 52560 KB Output is correct
42 Correct 58 ms 50180 KB Output is correct
43 Correct 71 ms 53380 KB Output is correct
44 Correct 67 ms 53076 KB Output is correct
45 Correct 63 ms 56172 KB Output is correct
46 Correct 70 ms 53328 KB Output is correct
47 Correct 22 ms 28252 KB Output is correct
48 Correct 117 ms 58040 KB Output is correct
49 Correct 122 ms 57852 KB Output is correct
50 Correct 121 ms 57780 KB Output is correct
51 Correct 123 ms 58052 KB Output is correct
52 Correct 120 ms 56064 KB Output is correct
53 Correct 107 ms 49412 KB Output is correct
54 Correct 118 ms 58808 KB Output is correct
55 Correct 114 ms 58040 KB Output is correct
56 Correct 171 ms 60344 KB Output is correct
57 Correct 130 ms 58808 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 24156 KB Output is correct
2 Correct 13 ms 24152 KB Output is correct
3 Correct 11 ms 23896 KB Output is correct
4 Correct 12 ms 24156 KB Output is correct
5 Correct 12 ms 24156 KB Output is correct
6 Correct 11 ms 24412 KB Output is correct
7 Correct 11 ms 24156 KB Output is correct
8 Correct 11 ms 24412 KB Output is correct
9 Correct 11 ms 24412 KB Output is correct
10 Correct 60 ms 46932 KB Output is correct
11 Correct 74 ms 52060 KB Output is correct
12 Correct 63 ms 51800 KB Output is correct
13 Correct 69 ms 53388 KB Output is correct
14 Correct 64 ms 55804 KB Output is correct
15 Correct 65 ms 47440 KB Output is correct
16 Correct 116 ms 56544 KB Output is correct
17 Correct 121 ms 55808 KB Output is correct
18 Correct 122 ms 57524 KB Output is correct
19 Correct 185 ms 59788 KB Output is correct
20 Correct 168 ms 60916 KB Output is correct
21 Correct 170 ms 62620 KB Output is correct
22 Correct 168 ms 61932 KB Output is correct
23 Correct 162 ms 62392 KB Output is correct
24 Correct 158 ms 62160 KB Output is correct
25 Correct 160 ms 60932 KB Output is correct
26 Correct 150 ms 61788 KB Output is correct
27 Correct 149 ms 60436 KB Output is correct
28 Correct 9 ms 24280 KB Output is correct
29 Correct 10 ms 24408 KB Output is correct
30 Correct 10 ms 24412 KB Output is correct
31 Correct 10 ms 24156 KB Output is correct
32 Correct 10 ms 24360 KB Output is correct
33 Correct 10 ms 24412 KB Output is correct
34 Correct 9 ms 24272 KB Output is correct
35 Correct 10 ms 24408 KB Output is correct
36 Correct 10 ms 24412 KB Output is correct
37 Correct 16 ms 27992 KB Output is correct
38 Correct 61 ms 53076 KB Output is correct
39 Correct 60 ms 52952 KB Output is correct
40 Correct 64 ms 52864 KB Output is correct
41 Correct 60 ms 52736 KB Output is correct
42 Correct 63 ms 52560 KB Output is correct
43 Correct 58 ms 50180 KB Output is correct
44 Correct 71 ms 53380 KB Output is correct
45 Correct 67 ms 53076 KB Output is correct
46 Correct 63 ms 56172 KB Output is correct
47 Correct 70 ms 53328 KB Output is correct
48 Correct 22 ms 28252 KB Output is correct
49 Correct 117 ms 58040 KB Output is correct
50 Correct 122 ms 57852 KB Output is correct
51 Correct 121 ms 57780 KB Output is correct
52 Correct 123 ms 58052 KB Output is correct
53 Correct 120 ms 56064 KB Output is correct
54 Correct 107 ms 49412 KB Output is correct
55 Correct 118 ms 58808 KB Output is correct
56 Correct 114 ms 58040 KB Output is correct
57 Correct 171 ms 60344 KB Output is correct
58 Correct 130 ms 58808 KB Output is correct
59 Correct 60 ms 33876 KB Output is correct
60 Correct 116 ms 57552 KB Output is correct
61 Correct 124 ms 56844 KB Output is correct
62 Correct 126 ms 58804 KB Output is correct
63 Correct 183 ms 61116 KB Output is correct
64 Correct 10 ms 24412 KB Output is correct
65 Correct 9 ms 24412 KB Output is correct
66 Correct 10 ms 24304 KB Output is correct
67 Correct 10 ms 24412 KB Output is correct
68 Correct 10 ms 24132 KB Output is correct
69 Correct 10 ms 24412 KB Output is correct
70 Correct 10 ms 24616 KB Output is correct
71 Correct 10 ms 24412 KB Output is correct
72 Correct 10 ms 24412 KB Output is correct
73 Correct 12 ms 24412 KB Output is correct
74 Correct 98 ms 64340 KB Output is correct
75 Correct 67 ms 53076 KB Output is correct
76 Correct 66 ms 53076 KB Output is correct
77 Correct 82 ms 56660 KB Output is correct
78 Correct 82 ms 60988 KB Output is correct
79 Correct 65 ms 52988 KB Output is correct
80 Correct 80 ms 58964 KB Output is correct
81 Correct 100 ms 67828 KB Output is correct
82 Correct 116 ms 70996 KB Output is correct
83 Correct 121 ms 76888 KB Output is correct
84 Correct 56 ms 55892 KB Output is correct
85 Correct 117 ms 71760 KB Output is correct
86 Correct 57 ms 39176 KB Output is correct
87 Correct 126 ms 58004 KB Output is correct
88 Correct 111 ms 58036 KB Output is correct
89 Correct 158 ms 60020 KB Output is correct
90 Correct 133 ms 66988 KB Output is correct
91 Correct 149 ms 64372 KB Output is correct
92 Correct 164 ms 62640 KB Output is correct
93 Correct 156 ms 72204 KB Output is correct
94 Correct 192 ms 75568 KB Output is correct
95 Correct 184 ms 80684 KB Output is correct
96 Correct 160 ms 60604 KB Output is correct
97 Correct 208 ms 67984 KB Output is correct