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Submission #319484

# Submission time Handle Problem Language Result Execution time Memory
319484 2020-11-05T11:27:45 Z knon0501 Swapping Cities (APIO20_swap) C++14
100 / 100
 425 ms 55364 KB 
#include "swap.h"
#include <bits/stdc++.h>
#include <vector>
using namespace std;
const int MX=3e5+5;
int sz[MX];
int p[MX][20];
int nn,n;
int pr[MX];
int w[MX];
int dth[MX];
int b[MX];
int E[MX];
int c[MX];
int deg[MX];
int mdeg[MX];
vector<int> a[MX];

struct A{
    int u,v,w;
    bool operator <(const A&r)const{
        return w<r.w;
    }
}e[MX];

int lca(int v,int u){
    int i,j;
    if(dth[v]>dth[u])swap(u,v);
    for(i=19 ; i>=0 ; i--)if(dth[u]-dth[v]>=(1<<i))u=p[u][i];
    if(u==v)return v;
    for(i=19 ; i>=0 ; i--){
        if(p[u][i]!=p[v][i]){
            u=p[u][i];
            v=p[v][i];
        }
    }
    return p[v][0];
}
int f(int k){
    return k==pr[k] ? k:pr[k]=f(pr[k]);
}
void Union(A k){
    deg[k.u]++;
    deg[k.v]++;

    int x=f(k.u);
    int y=f(k.v);

    if(x==y){
        E[x]++;
        mdeg[x]=max({mdeg[x],deg[k.u],deg[k.v]});
        if(b[x]==-1)
            b[x]=k.w;
        return;
    }
    pr[x]=nn;
    pr[y]=nn;
    mdeg[nn]=max({mdeg[x],mdeg[y],deg[k.u],deg[k.v]});
    sz[nn]=sz[x]+sz[y];
    E[nn]=E[x]+E[y]+1;
    w[nn]=k.w;
    a[nn].push_back(x);
    a[nn].push_back(y);
    p[x][0]=nn;
    p[y][0]=nn;
    if(E[nn]>=sz[nn] && b[nn]==-1 ){
        b[nn]=k.w;
    }
    if(mdeg[nn]>=3 && b[nn]==-1)
        b[nn]=k.w;
    nn++;
}
void dfs(int v,int pp){
    if(E[v]>=sz[v] || mdeg[v]>=3)c[v]=v;
    else if(p[v][0]>=0)c[v]=c[p[v][0]];
    else c[v]=-1;
    for(auto u:a[v]){
        if(u==pp)continue;
        dth[u]=dth[v]+1;
        dfs(u,v);
    }
}
void init(int N, int M,std::vector<int> U, std::vector<int> V, std::vector<int> W) {
    nn=n=N;
    int i,j;
    for(i=0 ; i<M; i++){
        e[i]={U[i],V[i],W[i]};
    }
    sort(e,e+M);
    for(i=0 ;i<N ; i++)sz[i]=1;
    for(i=0 ; i<N+M ; i++)pr[i]=i,p[i][0]=-1,b[i]=-1;
    for(i=0 ; i<M ; i++){
        Union(e[i]);

    }
    for(i=0 ; i<nn ; i++)
        if(p[i][0]==-1)
            dfs(i,-1);
    for(i=1 ; i<20 ; i++){
        for(j=0 ; j<nn ; j++){
            p[j][i]=p[p[j][i-1]][i-1];
        }
    }

}

int getMinimumFuelCapacity(int X, int Y) {
    int k=lca(X,Y);
    if(c[k]==-1)return -1;
    return b[c[k]];
}

Compilation message

swap.cpp: In function 'int lca(int, int)':
swap.cpp:27:11: warning: unused variable 'j' [-Wunused-variable]
   27 |     int i,j;
      |           ^

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7404 KB Output is correct
2 Correct 6 ms 7404 KB Output is correct
3 Correct 5 ms 7404 KB Output is correct
4 Correct 6 ms 7532 KB Output is correct
5 Correct 6 ms 7660 KB Output is correct
6 Correct 6 ms 7660 KB Output is correct
7 Correct 6 ms 7660 KB Output is correct
8 Correct 6 ms 7788 KB Output is correct
9 Correct 125 ms 29284 KB Output is correct
10 Correct 151 ms 34148 KB Output is correct
11 Correct 149 ms 33764 KB Output is correct
12 Correct 159 ms 35300 KB Output is correct
13 Correct 147 ms 38500 KB Output is correct
14 Correct 133 ms 29416 KB Output is correct
15 Correct 306 ms 36208 KB Output is correct
16 Correct 291 ms 35344 KB Output is correct
17 Correct 300 ms 37188 KB Output is correct
18 Correct 418 ms 40140 KB Output is correct
19 Correct 105 ms 15332 KB Output is correct
20 Correct 295 ms 37476 KB Output is correct
21 Correct 289 ms 36512 KB Output is correct
22 Correct 308 ms 38472 KB Output is correct
23 Correct 413 ms 41680 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7404 KB Output is correct
2 Correct 6 ms 7404 KB Output is correct
3 Correct 382 ms 42892 KB Output is correct
4 Correct 386 ms 48204 KB Output is correct
5 Correct 390 ms 47608 KB Output is correct
6 Correct 365 ms 47948 KB Output is correct
7 Correct 382 ms 47812 KB Output is correct
8 Correct 367 ms 46224 KB Output is correct
9 Correct 367 ms 47580 KB Output is correct
10 Correct 372 ms 46016 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7404 KB Output is correct
2 Correct 5 ms 7404 KB Output is correct
3 Correct 6 ms 7404 KB Output is correct
4 Correct 5 ms 7404 KB Output is correct
5 Correct 6 ms 7532 KB Output is correct
6 Correct 6 ms 7660 KB Output is correct
7 Correct 6 ms 7660 KB Output is correct
8 Correct 6 ms 7660 KB Output is correct
9 Correct 6 ms 7788 KB Output is correct
10 Correct 6 ms 7660 KB Output is correct
11 Correct 6 ms 7788 KB Output is correct
12 Correct 6 ms 7660 KB Output is correct
13 Correct 6 ms 7788 KB Output is correct
14 Correct 6 ms 7660 KB Output is correct
15 Correct 6 ms 7788 KB Output is correct
16 Correct 6 ms 7788 KB Output is correct
17 Correct 6 ms 7788 KB Output is correct
18 Correct 6 ms 7788 KB Output is correct
19 Correct 6 ms 7660 KB Output is correct
20 Correct 6 ms 7660 KB Output is correct
21 Correct 6 ms 7660 KB Output is correct
22 Correct 6 ms 7660 KB Output is correct
23 Correct 6 ms 7660 KB Output is correct
24 Correct 7 ms 7788 KB Output is correct
25 Correct 7 ms 7916 KB Output is correct
26 Correct 7 ms 7916 KB Output is correct
27 Correct 6 ms 7788 KB Output is correct
28 Correct 6 ms 7916 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7404 KB Output is correct
2 Correct 5 ms 7404 KB Output is correct
3 Correct 6 ms 7404 KB Output is correct
4 Correct 5 ms 7404 KB Output is correct
5 Correct 6 ms 7532 KB Output is correct
6 Correct 6 ms 7660 KB Output is correct
7 Correct 6 ms 7660 KB Output is correct
8 Correct 6 ms 7660 KB Output is correct
9 Correct 6 ms 7788 KB Output is correct
10 Correct 125 ms 29284 KB Output is correct
11 Correct 151 ms 34148 KB Output is correct
12 Correct 149 ms 33764 KB Output is correct
13 Correct 159 ms 35300 KB Output is correct
14 Correct 147 ms 38500 KB Output is correct
15 Correct 6 ms 7660 KB Output is correct
16 Correct 6 ms 7788 KB Output is correct
17 Correct 6 ms 7660 KB Output is correct
18 Correct 6 ms 7788 KB Output is correct
19 Correct 6 ms 7660 KB Output is correct
20 Correct 6 ms 7788 KB Output is correct
21 Correct 6 ms 7788 KB Output is correct
22 Correct 6 ms 7788 KB Output is correct
23 Correct 6 ms 7788 KB Output is correct
24 Correct 18 ms 11500 KB Output is correct
25 Correct 155 ms 37220 KB Output is correct
26 Correct 164 ms 37092 KB Output is correct
27 Correct 161 ms 36964 KB Output is correct
28 Correct 152 ms 36708 KB Output is correct
29 Correct 155 ms 36448 KB Output is correct
30 Correct 139 ms 34268 KB Output is correct
31 Correct 163 ms 37424 KB Output is correct
32 Correct 156 ms 37092 KB Output is correct
33 Correct 141 ms 41188 KB Output is correct
34 Correct 162 ms 37476 KB Output is correct
35 Correct 6 ms 7660 KB Output is correct
36 Correct 6 ms 7660 KB Output is correct
37 Correct 6 ms 7660 KB Output is correct
38 Correct 6 ms 7660 KB Output is correct
39 Correct 6 ms 7660 KB Output is correct
40 Correct 7 ms 7788 KB Output is correct
41 Correct 7 ms 7916 KB Output is correct
42 Correct 7 ms 7916 KB Output is correct
43 Correct 6 ms 7788 KB Output is correct
44 Correct 6 ms 7916 KB Output is correct
45 Correct 163 ms 42216 KB Output is correct
46 Correct 155 ms 37220 KB Output is correct
47 Correct 153 ms 37092 KB Output is correct
48 Correct 169 ms 39780 KB Output is correct
49 Correct 81 ms 29540 KB Output is correct
50 Correct 83 ms 25696 KB Output is correct
51 Correct 135 ms 36960 KB Output is correct
52 Correct 192 ms 46052 KB Output is correct
53 Correct 207 ms 49380 KB Output is correct
54 Correct 217 ms 51416 KB Output is correct
55 Correct 140 ms 40948 KB Output is correct
56 Correct 204 ms 49656 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7404 KB Output is correct
2 Correct 6 ms 7404 KB Output is correct
3 Correct 5 ms 7404 KB Output is correct
4 Correct 6 ms 7532 KB Output is correct
5 Correct 6 ms 7660 KB Output is correct
6 Correct 6 ms 7660 KB Output is correct
7 Correct 6 ms 7660 KB Output is correct
8 Correct 6 ms 7788 KB Output is correct
9 Correct 125 ms 29284 KB Output is correct
10 Correct 151 ms 34148 KB Output is correct
11 Correct 149 ms 33764 KB Output is correct
12 Correct 159 ms 35300 KB Output is correct
13 Correct 147 ms 38500 KB Output is correct
14 Correct 133 ms 29416 KB Output is correct
15 Correct 306 ms 36208 KB Output is correct
16 Correct 291 ms 35344 KB Output is correct
17 Correct 300 ms 37188 KB Output is correct
18 Correct 418 ms 40140 KB Output is correct
19 Correct 382 ms 42892 KB Output is correct
20 Correct 386 ms 48204 KB Output is correct
21 Correct 390 ms 47608 KB Output is correct
22 Correct 365 ms 47948 KB Output is correct
23 Correct 382 ms 47812 KB Output is correct
24 Correct 367 ms 46224 KB Output is correct
25 Correct 367 ms 47580 KB Output is correct
26 Correct 372 ms 46016 KB Output is correct
27 Correct 6 ms 7660 KB Output is correct
28 Correct 6 ms 7788 KB Output is correct
29 Correct 6 ms 7660 KB Output is correct
30 Correct 6 ms 7788 KB Output is correct
31 Correct 6 ms 7660 KB Output is correct
32 Correct 6 ms 7788 KB Output is correct
33 Correct 6 ms 7788 KB Output is correct
34 Correct 6 ms 7788 KB Output is correct
35 Correct 6 ms 7788 KB Output is correct
36 Correct 18 ms 11500 KB Output is correct
37 Correct 155 ms 37220 KB Output is correct
38 Correct 164 ms 37092 KB Output is correct
39 Correct 161 ms 36964 KB Output is correct
40 Correct 152 ms 36708 KB Output is correct
41 Correct 155 ms 36448 KB Output is correct
42 Correct 139 ms 34268 KB Output is correct
43 Correct 163 ms 37424 KB Output is correct
44 Correct 156 ms 37092 KB Output is correct
45 Correct 141 ms 41188 KB Output is correct
46 Correct 162 ms 37476 KB Output is correct
47 Correct 28 ms 11628 KB Output is correct
48 Correct 317 ms 41908 KB Output is correct
49 Correct 327 ms 42244 KB Output is correct
50 Correct 308 ms 41800 KB Output is correct
51 Correct 301 ms 41816 KB Output is correct
52 Correct 309 ms 40080 KB Output is correct
53 Correct 251 ms 33244 KB Output is correct
54 Correct 310 ms 42824 KB Output is correct
55 Correct 315 ms 42008 KB Output is correct
56 Correct 425 ms 45256 KB Output is correct
57 Correct 337 ms 42952 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7404 KB Output is correct
2 Correct 5 ms 7404 KB Output is correct
3 Correct 6 ms 7404 KB Output is correct
4 Correct 5 ms 7404 KB Output is correct
5 Correct 6 ms 7532 KB Output is correct
6 Correct 6 ms 7660 KB Output is correct
7 Correct 6 ms 7660 KB Output is correct
8 Correct 6 ms 7660 KB Output is correct
9 Correct 6 ms 7788 KB Output is correct
10 Correct 125 ms 29284 KB Output is correct
11 Correct 151 ms 34148 KB Output is correct
12 Correct 149 ms 33764 KB Output is correct
13 Correct 159 ms 35300 KB Output is correct
14 Correct 147 ms 38500 KB Output is correct
15 Correct 133 ms 29416 KB Output is correct
16 Correct 306 ms 36208 KB Output is correct
17 Correct 291 ms 35344 KB Output is correct
18 Correct 300 ms 37188 KB Output is correct
19 Correct 418 ms 40140 KB Output is correct
20 Correct 382 ms 42892 KB Output is correct
21 Correct 386 ms 48204 KB Output is correct
22 Correct 390 ms 47608 KB Output is correct
23 Correct 365 ms 47948 KB Output is correct
24 Correct 382 ms 47812 KB Output is correct
25 Correct 367 ms 46224 KB Output is correct
26 Correct 367 ms 47580 KB Output is correct
27 Correct 372 ms 46016 KB Output is correct
28 Correct 6 ms 7660 KB Output is correct
29 Correct 6 ms 7788 KB Output is correct
30 Correct 6 ms 7660 KB Output is correct
31 Correct 6 ms 7788 KB Output is correct
32 Correct 6 ms 7660 KB Output is correct
33 Correct 6 ms 7788 KB Output is correct
34 Correct 6 ms 7788 KB Output is correct
35 Correct 6 ms 7788 KB Output is correct
36 Correct 6 ms 7788 KB Output is correct
37 Correct 18 ms 11500 KB Output is correct
38 Correct 155 ms 37220 KB Output is correct
39 Correct 164 ms 37092 KB Output is correct
40 Correct 161 ms 36964 KB Output is correct
41 Correct 152 ms 36708 KB Output is correct
42 Correct 155 ms 36448 KB Output is correct
43 Correct 139 ms 34268 KB Output is correct
44 Correct 163 ms 37424 KB Output is correct
45 Correct 156 ms 37092 KB Output is correct
46 Correct 141 ms 41188 KB Output is correct
47 Correct 162 ms 37476 KB Output is correct
48 Correct 28 ms 11628 KB Output is correct
49 Correct 317 ms 41908 KB Output is correct
50 Correct 327 ms 42244 KB Output is correct
51 Correct 308 ms 41800 KB Output is correct
52 Correct 301 ms 41816 KB Output is correct
53 Correct 309 ms 40080 KB Output is correct
54 Correct 251 ms 33244 KB Output is correct
55 Correct 310 ms 42824 KB Output is correct
56 Correct 315 ms 42008 KB Output is correct
57 Correct 425 ms 45256 KB Output is correct
58 Correct 337 ms 42952 KB Output is correct
59 Correct 105 ms 15332 KB Output is correct
60 Correct 295 ms 37476 KB Output is correct
61 Correct 289 ms 36512 KB Output is correct
62 Correct 308 ms 38472 KB Output is correct
63 Correct 413 ms 41680 KB Output is correct
64 Correct 6 ms 7660 KB Output is correct
65 Correct 6 ms 7660 KB Output is correct
66 Correct 6 ms 7660 KB Output is correct
67 Correct 6 ms 7660 KB Output is correct
68 Correct 6 ms 7660 KB Output is correct
69 Correct 7 ms 7788 KB Output is correct
70 Correct 7 ms 7916 KB Output is correct
71 Correct 7 ms 7916 KB Output is correct
72 Correct 6 ms 7788 KB Output is correct
73 Correct 6 ms 7916 KB Output is correct
74 Correct 163 ms 42216 KB Output is correct
75 Correct 155 ms 37220 KB Output is correct
76 Correct 153 ms 37092 KB Output is correct
77 Correct 169 ms 39780 KB Output is correct
78 Correct 81 ms 29540 KB Output is correct
79 Correct 83 ms 25696 KB Output is correct
80 Correct 135 ms 36960 KB Output is correct
81 Correct 192 ms 46052 KB Output is correct
82 Correct 207 ms 49380 KB Output is correct
83 Correct 217 ms 51416 KB Output is correct
84 Correct 140 ms 40948 KB Output is correct
85 Correct 204 ms 49656 KB Output is correct
86 Correct 105 ms 21288 KB Output is correct
87 Correct 307 ms 42060 KB Output is correct
88 Correct 302 ms 41928 KB Output is correct
89 Correct 352 ms 43012 KB Output is correct
90 Correct 186 ms 34880 KB Output is correct
91 Correct 208 ms 34824 KB Output is correct
92 Correct 298 ms 41280 KB Output is correct
93 Correct 339 ms 50716 KB Output is correct
94 Correct 381 ms 53444 KB Output is correct
95 Correct 361 ms 55364 KB Output is correct
96 Correct 422 ms 45640 KB Output is correct
97 Correct 386 ms 49116 KB Output is correct