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Submission #738546

# Submission time Handle Problem Language Result Execution time Memory
738546 2023-05-09T05:08:02 Z PoonYaPat Swapping Cities (APIO20_swap) C++14
100 / 100
 769 ms 87248 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;
typedef pair<int,int> pii;

int n,pg[100001],r[100001],lp[100001],LCA;
vector<pii> adj[100001],Adj[100001];
vector<int> add[100001], del[100001];

bool comp(pii a, pii b) {return a.second<b.second;}

struct Edge{
    int u,v,w;
    bool operator < (const Edge &o) {return w<o.w;}
};
vector<Edge> edge,bridge;

int find(int x) {
    while (pg[x]!=x) x=pg[x];
    return x;
}

void unite(int X, int Y, int w) {
    int x=find(X), y=find(Y);

    if (x!=y) {
        adj[X].push_back(pii(Y,w));
        adj[Y].push_back(pii(X,w));

        if (r[x]<r[y]) swap(x,y);
        pg[y]=x;
        if (r[x]==r[y]) ++r[x];
    } else {
        bridge.push_back({X,Y,w});
    }
}

int p[100001][18],level[100001],mmax[100001][18],mmin[100001];

void dfs1(int x, int par) {
    level[x]=level[par]+1;
    p[x][0]=par;

    for (int i=1; i<18; ++i) {
        p[x][i]=p[p[x][i-1]][i-1];
        mmax[x][i]=max(mmax[x][i-1],mmax[p[x][i-1]][i-1]);
    }

    for (auto s : adj[x]) if (s.first!=par) {
        mmax[s.first][0]=s.second;
        dfs1(s.first,x);
    }
}

int lca(int X, int Y, int mode) {
    int ma=-INT_MAX;
    if (level[X]<level[Y]) swap(X,Y);
    int x=X, y=Y;

    int dif=level[x]-level[y];
    for (int i=0; i<18; ++i) {
        if (dif&(1<<i)) {
            ma=max(ma,mmax[x][i]);
            x=p[x][i];
        }
    }

    if (x!=y) {
        for (int i=17; i>=0; --i) {
            if (p[x][i]!=p[y][i]) {
                ma=max({ma,mmax[x][i],mmax[y][i]});
                x=p[x][i];
                y=p[y][i];
            }
        }
        ma=max({ma,mmax[x][0],mmax[y][0]});
        LCA=p[x][0];
    } else {
        LCA=Y;
    }

    int mi=min({lp[X],lp[Y],mmin[X],mmin[Y]});
    if (mode==0) return ma;
    else return max(ma,mi);
}

multiset<int> temp[100001];
void dfs2(int x, int par) {
    for (auto s : add[x]) temp[x].insert(s);

    for (auto s : adj[x]) {
        if (s.first==par) continue;
        dfs2(s.first,x);

        if (temp[s.first].size()>temp[x].size()) swap(temp[s.first],temp[x]);
        for (auto h : temp[s.first]) temp[x].insert(h);
    }

    if (temp[x].size()) lp[x]=*(temp[x].begin());
    else lp[x]=INT_MAX;

    for (auto s : del[x]) temp[x].erase(temp[x].find(s)), temp[x].erase(temp[x].find(s));
}

void dfs3(int x, int par) {
    if (Adj[x].size()<3) mmin[x]=INT_MAX;
    else mmin[x]=Adj[x][2].second;

    for (auto s : adj[x]) {
        if (s.first==par) continue;
        dfs3(s.first,x);
        mmin[x]=min(mmin[x],max(s.second,mmin[s.first]));
    }
}

void dfs4(int x, int par) {
    for (auto s : adj[x]) {
        if (s.first==par) continue;
        mmin[s.first]=min(mmin[s.first],max(s.second,mmin[x]));
        dfs4(s.first,x);
    }
}

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
    n=N;
    for (int i=0; i<M; ++i) {
        edge.push_back({U[i],V[i],W[i]});
        Adj[U[i]].push_back(pii(V[i],W[i]));
        Adj[V[i]].push_back(pii(U[i],W[i]));
    }
    sort(edge.begin(),edge.end());
    for (int i=0; i<n; ++i) pg[i]=i;
    for (auto s : edge) unite(s.u,s.v,s.w);
    for (int i=0; i<n; ++i) sort(Adj[i].begin(),Adj[i].end(),comp);

    //find mmax
    mmax[0][0]=INT_MAX;
    dfs1(0,0);

    //find loop
    for (auto s : bridge) {
        int ma=max(lca(s.u,s.v,0),s.w);
        add[s.u].push_back(ma);
        add[s.v].push_back(ma);
        del[LCA].push_back(ma);
    }
    dfs2(0,0);

    //find mmin
    dfs3(0,0);
    dfs4(0,0);
}

int getMinimumFuelCapacity(int X, int Y) {
    int mx=lca(X,Y,1);
    if (mx==INT_MAX) return -1;
    return mx;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 10 ms 14420 KB Output is correct
3 Correct 9 ms 14420 KB Output is correct
4 Correct 9 ms 14560 KB Output is correct
5 Correct 9 ms 14676 KB Output is correct
6 Correct 10 ms 14712 KB Output is correct
7 Correct 9 ms 14676 KB Output is correct
8 Correct 10 ms 14804 KB Output is correct
9 Correct 153 ms 43064 KB Output is correct
10 Correct 188 ms 51876 KB Output is correct
11 Correct 201 ms 50300 KB Output is correct
12 Correct 208 ms 52948 KB Output is correct
13 Correct 185 ms 55712 KB Output is correct
14 Correct 216 ms 42116 KB Output is correct
15 Correct 350 ms 55652 KB Output is correct
16 Correct 421 ms 51920 KB Output is correct
17 Correct 398 ms 60152 KB Output is correct
18 Correct 388 ms 57400 KB Output is correct
19 Correct 97 ms 26132 KB Output is correct
20 Correct 351 ms 55488 KB Output is correct
21 Correct 366 ms 53016 KB Output is correct
22 Correct 430 ms 57460 KB Output is correct
23 Correct 353 ms 57984 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 10 ms 14420 KB Output is correct
3 Correct 202 ms 46740 KB Output is correct
4 Correct 194 ms 48044 KB Output is correct
5 Correct 197 ms 47472 KB Output is correct
6 Correct 208 ms 47844 KB Output is correct
7 Correct 196 ms 47840 KB Output is correct
8 Correct 207 ms 46640 KB Output is correct
9 Correct 198 ms 47444 KB Output is correct
10 Correct 200 ms 46408 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 10 ms 14420 KB Output is correct
3 Correct 9 ms 14420 KB Output is correct
4 Correct 9 ms 14560 KB Output is correct
5 Correct 9 ms 14676 KB Output is correct
6 Correct 10 ms 14712 KB Output is correct
7 Correct 9 ms 14676 KB Output is correct
8 Correct 10 ms 14804 KB Output is correct
9 Correct 7 ms 14420 KB Output is correct
10 Correct 9 ms 14672 KB Output is correct
11 Correct 10 ms 14776 KB Output is correct
12 Correct 9 ms 14676 KB Output is correct
13 Correct 11 ms 14548 KB Output is correct
14 Correct 9 ms 14676 KB Output is correct
15 Correct 9 ms 14680 KB Output is correct
16 Correct 9 ms 14676 KB Output is correct
17 Correct 9 ms 14804 KB Output is correct
18 Correct 9 ms 14676 KB Output is correct
19 Correct 9 ms 14676 KB Output is correct
20 Correct 8 ms 14672 KB Output is correct
21 Correct 8 ms 14676 KB Output is correct
22 Correct 10 ms 14932 KB Output is correct
23 Correct 9 ms 14548 KB Output is correct
24 Correct 10 ms 14932 KB Output is correct
25 Correct 10 ms 15060 KB Output is correct
26 Correct 10 ms 15060 KB Output is correct
27 Correct 8 ms 14804 KB Output is correct
28 Correct 10 ms 15072 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14420 KB Output is correct
2 Correct 8 ms 14420 KB Output is correct
3 Correct 10 ms 14420 KB Output is correct
4 Correct 9 ms 14420 KB Output is correct
5 Correct 9 ms 14560 KB Output is correct
6 Correct 9 ms 14676 KB Output is correct
7 Correct 10 ms 14712 KB Output is correct
8 Correct 9 ms 14676 KB Output is correct
9 Correct 10 ms 14804 KB Output is correct
10 Correct 153 ms 43064 KB Output is correct
11 Correct 188 ms 51876 KB Output is correct
12 Correct 201 ms 50300 KB Output is correct
13 Correct 208 ms 52948 KB Output is correct
14 Correct 185 ms 55712 KB Output is correct
15 Correct 9 ms 14672 KB Output is correct
16 Correct 10 ms 14776 KB Output is correct
17 Correct 9 ms 14676 KB Output is correct
18 Correct 11 ms 14548 KB Output is correct
19 Correct 9 ms 14676 KB Output is correct
20 Correct 9 ms 14680 KB Output is correct
21 Correct 9 ms 14676 KB Output is correct
22 Correct 9 ms 14804 KB Output is correct
23 Correct 9 ms 14676 KB Output is correct
24 Correct 9 ms 14676 KB Output is correct
25 Correct 8 ms 14672 KB Output is correct
26 Correct 8 ms 14676 KB Output is correct
27 Correct 10 ms 14932 KB Output is correct
28 Correct 9 ms 14548 KB Output is correct
29 Correct 10 ms 14932 KB Output is correct
30 Correct 10 ms 15060 KB Output is correct
31 Correct 10 ms 15060 KB Output is correct
32 Correct 8 ms 14804 KB Output is correct
33 Correct 10 ms 15072 KB Output is correct
34 Correct 22 ms 18380 KB Output is correct
35 Correct 195 ms 51804 KB Output is correct
36 Correct 200 ms 47152 KB Output is correct
37 Correct 178 ms 43748 KB Output is correct
38 Correct 217 ms 42624 KB Output is correct
39 Correct 173 ms 41888 KB Output is correct
40 Correct 151 ms 39808 KB Output is correct
41 Correct 215 ms 48840 KB Output is correct
42 Correct 218 ms 50704 KB Output is correct
43 Correct 176 ms 52968 KB Output is correct
44 Correct 168 ms 43392 KB Output is correct
45 Correct 367 ms 74180 KB Output is correct
46 Correct 222 ms 45444 KB Output is correct
47 Correct 195 ms 42380 KB Output is correct
48 Correct 201 ms 47572 KB Output is correct
49 Correct 342 ms 72736 KB Output is correct
50 Correct 287 ms 68352 KB Output is correct
51 Correct 319 ms 64968 KB Output is correct
52 Correct 438 ms 69704 KB Output is correct
53 Correct 423 ms 77140 KB Output is correct
54 Correct 569 ms 78732 KB Output is correct
55 Correct 178 ms 55164 KB Output is correct
56 Correct 423 ms 79296 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 10 ms 14420 KB Output is correct
3 Correct 9 ms 14420 KB Output is correct
4 Correct 9 ms 14560 KB Output is correct
5 Correct 9 ms 14676 KB Output is correct
6 Correct 10 ms 14712 KB Output is correct
7 Correct 9 ms 14676 KB Output is correct
8 Correct 10 ms 14804 KB Output is correct
9 Correct 153 ms 43064 KB Output is correct
10 Correct 188 ms 51876 KB Output is correct
11 Correct 201 ms 50300 KB Output is correct
12 Correct 208 ms 52948 KB Output is correct
13 Correct 185 ms 55712 KB Output is correct
14 Correct 216 ms 42116 KB Output is correct
15 Correct 350 ms 55652 KB Output is correct
16 Correct 421 ms 51920 KB Output is correct
17 Correct 398 ms 60152 KB Output is correct
18 Correct 388 ms 57400 KB Output is correct
19 Correct 202 ms 46740 KB Output is correct
20 Correct 194 ms 48044 KB Output is correct
21 Correct 197 ms 47472 KB Output is correct
22 Correct 208 ms 47844 KB Output is correct
23 Correct 196 ms 47840 KB Output is correct
24 Correct 207 ms 46640 KB Output is correct
25 Correct 198 ms 47444 KB Output is correct
26 Correct 200 ms 46408 KB Output is correct
27 Correct 9 ms 14672 KB Output is correct
28 Correct 10 ms 14776 KB Output is correct
29 Correct 9 ms 14676 KB Output is correct
30 Correct 11 ms 14548 KB Output is correct
31 Correct 9 ms 14676 KB Output is correct
32 Correct 9 ms 14680 KB Output is correct
33 Correct 9 ms 14676 KB Output is correct
34 Correct 9 ms 14804 KB Output is correct
35 Correct 9 ms 14676 KB Output is correct
36 Correct 22 ms 18380 KB Output is correct
37 Correct 195 ms 51804 KB Output is correct
38 Correct 200 ms 47152 KB Output is correct
39 Correct 178 ms 43748 KB Output is correct
40 Correct 217 ms 42624 KB Output is correct
41 Correct 173 ms 41888 KB Output is correct
42 Correct 151 ms 39808 KB Output is correct
43 Correct 215 ms 48840 KB Output is correct
44 Correct 218 ms 50704 KB Output is correct
45 Correct 176 ms 52968 KB Output is correct
46 Correct 168 ms 43392 KB Output is correct
47 Correct 28 ms 18508 KB Output is correct
48 Correct 419 ms 53460 KB Output is correct
49 Correct 404 ms 50544 KB Output is correct
50 Correct 437 ms 48728 KB Output is correct
51 Correct 344 ms 47692 KB Output is correct
52 Correct 333 ms 45548 KB Output is correct
53 Correct 207 ms 39540 KB Output is correct
54 Correct 503 ms 52796 KB Output is correct
55 Correct 377 ms 54296 KB Output is correct
56 Correct 324 ms 59000 KB Output is correct
57 Correct 343 ms 48828 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14420 KB Output is correct
2 Correct 8 ms 14420 KB Output is correct
3 Correct 10 ms 14420 KB Output is correct
4 Correct 9 ms 14420 KB Output is correct
5 Correct 9 ms 14560 KB Output is correct
6 Correct 9 ms 14676 KB Output is correct
7 Correct 10 ms 14712 KB Output is correct
8 Correct 9 ms 14676 KB Output is correct
9 Correct 10 ms 14804 KB Output is correct
10 Correct 153 ms 43064 KB Output is correct
11 Correct 188 ms 51876 KB Output is correct
12 Correct 201 ms 50300 KB Output is correct
13 Correct 208 ms 52948 KB Output is correct
14 Correct 185 ms 55712 KB Output is correct
15 Correct 216 ms 42116 KB Output is correct
16 Correct 350 ms 55652 KB Output is correct
17 Correct 421 ms 51920 KB Output is correct
18 Correct 398 ms 60152 KB Output is correct
19 Correct 388 ms 57400 KB Output is correct
20 Correct 202 ms 46740 KB Output is correct
21 Correct 194 ms 48044 KB Output is correct
22 Correct 197 ms 47472 KB Output is correct
23 Correct 208 ms 47844 KB Output is correct
24 Correct 196 ms 47840 KB Output is correct
25 Correct 207 ms 46640 KB Output is correct
26 Correct 198 ms 47444 KB Output is correct
27 Correct 200 ms 46408 KB Output is correct
28 Correct 9 ms 14672 KB Output is correct
29 Correct 10 ms 14776 KB Output is correct
30 Correct 9 ms 14676 KB Output is correct
31 Correct 11 ms 14548 KB Output is correct
32 Correct 9 ms 14676 KB Output is correct
33 Correct 9 ms 14680 KB Output is correct
34 Correct 9 ms 14676 KB Output is correct
35 Correct 9 ms 14804 KB Output is correct
36 Correct 9 ms 14676 KB Output is correct
37 Correct 22 ms 18380 KB Output is correct
38 Correct 195 ms 51804 KB Output is correct
39 Correct 200 ms 47152 KB Output is correct
40 Correct 178 ms 43748 KB Output is correct
41 Correct 217 ms 42624 KB Output is correct
42 Correct 173 ms 41888 KB Output is correct
43 Correct 151 ms 39808 KB Output is correct
44 Correct 215 ms 48840 KB Output is correct
45 Correct 218 ms 50704 KB Output is correct
46 Correct 176 ms 52968 KB Output is correct
47 Correct 168 ms 43392 KB Output is correct
48 Correct 28 ms 18508 KB Output is correct
49 Correct 419 ms 53460 KB Output is correct
50 Correct 404 ms 50544 KB Output is correct
51 Correct 437 ms 48728 KB Output is correct
52 Correct 344 ms 47692 KB Output is correct
53 Correct 333 ms 45548 KB Output is correct
54 Correct 207 ms 39540 KB Output is correct
55 Correct 503 ms 52796 KB Output is correct
56 Correct 377 ms 54296 KB Output is correct
57 Correct 324 ms 59000 KB Output is correct
58 Correct 343 ms 48828 KB Output is correct
59 Correct 97 ms 26132 KB Output is correct
60 Correct 351 ms 55488 KB Output is correct
61 Correct 366 ms 53016 KB Output is correct
62 Correct 430 ms 57460 KB Output is correct
63 Correct 353 ms 57984 KB Output is correct
64 Correct 9 ms 14676 KB Output is correct
65 Correct 8 ms 14672 KB Output is correct
66 Correct 8 ms 14676 KB Output is correct
67 Correct 10 ms 14932 KB Output is correct
68 Correct 9 ms 14548 KB Output is correct
69 Correct 10 ms 14932 KB Output is correct
70 Correct 10 ms 15060 KB Output is correct
71 Correct 10 ms 15060 KB Output is correct
72 Correct 8 ms 14804 KB Output is correct
73 Correct 10 ms 15072 KB Output is correct
74 Correct 367 ms 74180 KB Output is correct
75 Correct 222 ms 45444 KB Output is correct
76 Correct 195 ms 42380 KB Output is correct
77 Correct 201 ms 47572 KB Output is correct
78 Correct 342 ms 72736 KB Output is correct
79 Correct 287 ms 68352 KB Output is correct
80 Correct 319 ms 64968 KB Output is correct
81 Correct 438 ms 69704 KB Output is correct
82 Correct 423 ms 77140 KB Output is correct
83 Correct 569 ms 78732 KB Output is correct
84 Correct 178 ms 55164 KB Output is correct
85 Correct 423 ms 79296 KB Output is correct
86 Correct 122 ms 34420 KB Output is correct
87 Correct 394 ms 49676 KB Output is correct
88 Correct 394 ms 50036 KB Output is correct
89 Correct 292 ms 50936 KB Output is correct
90 Correct 428 ms 80852 KB Output is correct
91 Correct 436 ms 87248 KB Output is correct
92 Correct 432 ms 66904 KB Output is correct
93 Correct 598 ms 72004 KB Output is correct
94 Correct 562 ms 81112 KB Output is correct
95 Correct 769 ms 82756 KB Output is correct
96 Correct 377 ms 55196 KB Output is correct
97 Correct 425 ms 67756 KB Output is correct