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Submission #403341

# Submission time Handle Problem Language Result Execution time Memory
403341 2021-05-13T04:41:09 Z danielcm585 Swapping Cities (APIO20_swap) C++14
100 / 100
 413 ms 43848 KB 
#include "swap.h"

#include <bits/stdc++.h>
using namespace std;

#define fi first
#define se second

typedef pair<int,int> ii;
typedef pair<int,ii> iii;

const int N = 3e5;
const int LOG = 19;
int par[N+2], val[N+2], deg[N+2], dep[N+2];
int anc[N+2][LOG+2];

int find(int x) {
    if (par[x] == x) return x;
    return par[x] = find(par[x]);
}

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
    for (int i = 0; i < N+M; i++) {
        par[i] = i;
        anc[i][0] = i;
        val[i] = -1;
    }
    vector<iii> edge;
    for (int i = 0; i < M; i++) {
        edge.push_back({W[i],{U[i],V[i]}});
    }
    sort(edge.begin(),edge.end());
    for (int i = 0; i < M; i++) {
        int u = edge[i].se.fi;
        int v = edge[i].se.se;
        int w = edge[i].fi;
        int pu = find(u);
        int pv = find(v);
        deg[u]++, deg[v]++;
        par[pu] = par[pv] = N+i;
        anc[pu][0] = anc[pv][0] = N+i;
        val[N+i] = -1;
        if (deg[u] >= 3 || deg[v] >= 3 || pu == pv || val[pu] != -1 || val[pv] != -1) val[N+i] = w;
    }
    for (int i = 1; i <= LOG; i++) {
        for (int j = 0; j < N+M; j++) {
            anc[j][i] = anc[anc[j][i-1]][i-1];
        }
    }
    for (int i = N+M-2; i >= 0; i--) {
        dep[i] = dep[anc[i][0]]+1;
    }
}

int lca(int X, int Y) {
    if (dep[X] < dep[Y]) swap(X,Y);
    for (int i = LOG; i >= 0; i--) {
        if (dep[X]-(1<<i) >= dep[Y]) {
            X = anc[X][i];
        }
    }
    if (X == Y) return X;
    for (int i = LOG; i >= 0; i--) {
        if (anc[X][i] != anc[Y][i]) {
            X = anc[X][i];
            Y = anc[Y][i];
        }
    }
    return anc[X][0];
}

int getMinimumFuelCapacity(int X, int Y) {
    if (find(X) != find(Y)) return -1;
    int z = lca(X,Y);
    // cout << ">> " << z << '\n';
    if (val[z] != -1) return val[z];
    for (int i = LOG; i >= 0; i--) {
        if (dep[z] < (1<<i)) continue;
        if (val[anc[z][i]] == -1) z = anc[z][i];
    }
    return val[anc[z][0]];
}

/*
5 6
0 1 4
0 2 4
1 2 1
1 3 2
1 4 10
2 3 3
3
1 2
2 4
0 1
*/

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 296 KB Output is correct
4 Correct 1 ms 432 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 2 ms 692 KB Output is correct
8 Correct 2 ms 588 KB Output is correct
9 Correct 77 ms 19896 KB Output is correct
10 Correct 92 ms 24224 KB Output is correct
11 Correct 93 ms 23788 KB Output is correct
12 Correct 101 ms 25256 KB Output is correct
13 Correct 110 ms 25912 KB Output is correct
14 Correct 114 ms 20132 KB Output is correct
15 Correct 251 ms 28304 KB Output is correct
16 Correct 269 ms 27584 KB Output is correct
17 Correct 257 ms 29080 KB Output is correct
18 Correct 382 ms 29752 KB Output is correct
19 Correct 100 ms 9284 KB Output is correct
20 Correct 261 ms 28372 KB Output is correct
21 Correct 266 ms 27852 KB Output is correct
22 Correct 265 ms 29424 KB Output is correct
23 Correct 406 ms 30092 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 327 ms 28084 KB Output is correct
4 Correct 327 ms 29252 KB Output is correct
5 Correct 320 ms 28688 KB Output is correct
6 Correct 367 ms 29276 KB Output is correct
7 Correct 342 ms 29048 KB Output is correct
8 Correct 309 ms 27924 KB Output is correct
9 Correct 328 ms 28736 KB Output is correct
10 Correct 339 ms 27752 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 296 KB Output is correct
4 Correct 1 ms 432 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 2 ms 692 KB Output is correct
8 Correct 2 ms 588 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 2 ms 588 KB Output is correct
11 Correct 1 ms 568 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 2 ms 460 KB Output is correct
15 Correct 1 ms 588 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 2 ms 460 KB Output is correct
21 Correct 1 ms 588 KB Output is correct
22 Correct 2 ms 588 KB Output is correct
23 Correct 1 ms 460 KB Output is correct
24 Correct 2 ms 692 KB Output is correct
25 Correct 2 ms 716 KB Output is correct
26 Correct 2 ms 716 KB Output is correct
27 Correct 1 ms 460 KB Output is correct
28 Correct 2 ms 716 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 296 KB Output is correct
5 Correct 1 ms 432 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 2 ms 692 KB Output is correct
9 Correct 2 ms 588 KB Output is correct
10 Correct 77 ms 19896 KB Output is correct
11 Correct 92 ms 24224 KB Output is correct
12 Correct 93 ms 23788 KB Output is correct
13 Correct 101 ms 25256 KB Output is correct
14 Correct 110 ms 25912 KB Output is correct
15 Correct 2 ms 588 KB Output is correct
16 Correct 1 ms 568 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 2 ms 460 KB Output is correct
20 Correct 1 ms 588 KB Output is correct
21 Correct 1 ms 460 KB Output is correct
22 Correct 1 ms 460 KB Output is correct
23 Correct 1 ms 460 KB Output is correct
24 Correct 1 ms 460 KB Output is correct
25 Correct 2 ms 460 KB Output is correct
26 Correct 1 ms 588 KB Output is correct
27 Correct 2 ms 588 KB Output is correct
28 Correct 1 ms 460 KB Output is correct
29 Correct 2 ms 692 KB Output is correct
30 Correct 2 ms 716 KB Output is correct
31 Correct 2 ms 716 KB Output is correct
32 Correct 1 ms 460 KB Output is correct
33 Correct 2 ms 716 KB Output is correct
34 Correct 10 ms 3804 KB Output is correct
35 Correct 100 ms 24872 KB Output is correct
36 Correct 98 ms 24888 KB Output is correct
37 Correct 100 ms 24876 KB Output is correct
38 Correct 96 ms 24608 KB Output is correct
39 Correct 99 ms 24376 KB Output is correct
40 Correct 91 ms 22456 KB Output is correct
41 Correct 101 ms 25348 KB Output is correct
42 Correct 99 ms 24888 KB Output is correct
43 Correct 108 ms 24868 KB Output is correct
44 Correct 103 ms 25260 KB Output is correct
45 Correct 147 ms 30264 KB Output is correct
46 Correct 101 ms 24868 KB Output is correct
47 Correct 101 ms 24864 KB Output is correct
48 Correct 115 ms 26388 KB Output is correct
49 Correct 118 ms 24268 KB Output is correct
50 Correct 94 ms 18968 KB Output is correct
51 Correct 127 ms 25848 KB Output is correct
52 Correct 156 ms 34408 KB Output is correct
53 Correct 174 ms 37004 KB Output is correct
54 Correct 189 ms 39980 KB Output is correct
55 Correct 107 ms 24888 KB Output is correct
56 Correct 174 ms 35992 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 296 KB Output is correct
4 Correct 1 ms 432 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 2 ms 692 KB Output is correct
8 Correct 2 ms 588 KB Output is correct
9 Correct 77 ms 19896 KB Output is correct
10 Correct 92 ms 24224 KB Output is correct
11 Correct 93 ms 23788 KB Output is correct
12 Correct 101 ms 25256 KB Output is correct
13 Correct 110 ms 25912 KB Output is correct
14 Correct 114 ms 20132 KB Output is correct
15 Correct 251 ms 28304 KB Output is correct
16 Correct 269 ms 27584 KB Output is correct
17 Correct 257 ms 29080 KB Output is correct
18 Correct 382 ms 29752 KB Output is correct
19 Correct 327 ms 28084 KB Output is correct
20 Correct 327 ms 29252 KB Output is correct
21 Correct 320 ms 28688 KB Output is correct
22 Correct 367 ms 29276 KB Output is correct
23 Correct 342 ms 29048 KB Output is correct
24 Correct 309 ms 27924 KB Output is correct
25 Correct 328 ms 28736 KB Output is correct
26 Correct 339 ms 27752 KB Output is correct
27 Correct 2 ms 588 KB Output is correct
28 Correct 1 ms 568 KB Output is correct
29 Correct 1 ms 460 KB Output is correct
30 Correct 1 ms 460 KB Output is correct
31 Correct 2 ms 460 KB Output is correct
32 Correct 1 ms 588 KB Output is correct
33 Correct 1 ms 460 KB Output is correct
34 Correct 1 ms 460 KB Output is correct
35 Correct 1 ms 460 KB Output is correct
36 Correct 10 ms 3804 KB Output is correct
37 Correct 100 ms 24872 KB Output is correct
38 Correct 98 ms 24888 KB Output is correct
39 Correct 100 ms 24876 KB Output is correct
40 Correct 96 ms 24608 KB Output is correct
41 Correct 99 ms 24376 KB Output is correct
42 Correct 91 ms 22456 KB Output is correct
43 Correct 101 ms 25348 KB Output is correct
44 Correct 99 ms 24888 KB Output is correct
45 Correct 108 ms 24868 KB Output is correct
46 Correct 103 ms 25260 KB Output is correct
47 Correct 22 ms 3852 KB Output is correct
48 Correct 246 ms 28848 KB Output is correct
49 Correct 242 ms 28856 KB Output is correct
50 Correct 257 ms 28708 KB Output is correct
51 Correct 253 ms 28636 KB Output is correct
52 Correct 240 ms 27124 KB Output is correct
53 Correct 208 ms 21812 KB Output is correct
54 Correct 248 ms 29432 KB Output is correct
55 Correct 258 ms 28824 KB Output is correct
56 Correct 383 ms 28908 KB Output is correct
57 Correct 249 ms 29360 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 296 KB Output is correct
5 Correct 1 ms 432 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 2 ms 692 KB Output is correct
9 Correct 2 ms 588 KB Output is correct
10 Correct 77 ms 19896 KB Output is correct
11 Correct 92 ms 24224 KB Output is correct
12 Correct 93 ms 23788 KB Output is correct
13 Correct 101 ms 25256 KB Output is correct
14 Correct 110 ms 25912 KB Output is correct
15 Correct 114 ms 20132 KB Output is correct
16 Correct 251 ms 28304 KB Output is correct
17 Correct 269 ms 27584 KB Output is correct
18 Correct 257 ms 29080 KB Output is correct
19 Correct 382 ms 29752 KB Output is correct
20 Correct 327 ms 28084 KB Output is correct
21 Correct 327 ms 29252 KB Output is correct
22 Correct 320 ms 28688 KB Output is correct
23 Correct 367 ms 29276 KB Output is correct
24 Correct 342 ms 29048 KB Output is correct
25 Correct 309 ms 27924 KB Output is correct
26 Correct 328 ms 28736 KB Output is correct
27 Correct 339 ms 27752 KB Output is correct
28 Correct 2 ms 588 KB Output is correct
29 Correct 1 ms 568 KB Output is correct
30 Correct 1 ms 460 KB Output is correct
31 Correct 1 ms 460 KB Output is correct
32 Correct 2 ms 460 KB Output is correct
33 Correct 1 ms 588 KB Output is correct
34 Correct 1 ms 460 KB Output is correct
35 Correct 1 ms 460 KB Output is correct
36 Correct 1 ms 460 KB Output is correct
37 Correct 10 ms 3804 KB Output is correct
38 Correct 100 ms 24872 KB Output is correct
39 Correct 98 ms 24888 KB Output is correct
40 Correct 100 ms 24876 KB Output is correct
41 Correct 96 ms 24608 KB Output is correct
42 Correct 99 ms 24376 KB Output is correct
43 Correct 91 ms 22456 KB Output is correct
44 Correct 101 ms 25348 KB Output is correct
45 Correct 99 ms 24888 KB Output is correct
46 Correct 108 ms 24868 KB Output is correct
47 Correct 103 ms 25260 KB Output is correct
48 Correct 22 ms 3852 KB Output is correct
49 Correct 246 ms 28848 KB Output is correct
50 Correct 242 ms 28856 KB Output is correct
51 Correct 257 ms 28708 KB Output is correct
52 Correct 253 ms 28636 KB Output is correct
53 Correct 240 ms 27124 KB Output is correct
54 Correct 208 ms 21812 KB Output is correct
55 Correct 248 ms 29432 KB Output is correct
56 Correct 258 ms 28824 KB Output is correct
57 Correct 383 ms 28908 KB Output is correct
58 Correct 249 ms 29360 KB Output is correct
59 Correct 100 ms 9284 KB Output is correct
60 Correct 261 ms 28372 KB Output is correct
61 Correct 266 ms 27852 KB Output is correct
62 Correct 265 ms 29424 KB Output is correct
63 Correct 406 ms 30092 KB Output is correct
64 Correct 1 ms 460 KB Output is correct
65 Correct 2 ms 460 KB Output is correct
66 Correct 1 ms 588 KB Output is correct
67 Correct 2 ms 588 KB Output is correct
68 Correct 1 ms 460 KB Output is correct
69 Correct 2 ms 692 KB Output is correct
70 Correct 2 ms 716 KB Output is correct
71 Correct 2 ms 716 KB Output is correct
72 Correct 1 ms 460 KB Output is correct
73 Correct 2 ms 716 KB Output is correct
74 Correct 147 ms 30264 KB Output is correct
75 Correct 101 ms 24868 KB Output is correct
76 Correct 101 ms 24864 KB Output is correct
77 Correct 115 ms 26388 KB Output is correct
78 Correct 118 ms 24268 KB Output is correct
79 Correct 94 ms 18968 KB Output is correct
80 Correct 127 ms 25848 KB Output is correct
81 Correct 156 ms 34408 KB Output is correct
82 Correct 174 ms 37004 KB Output is correct
83 Correct 189 ms 39980 KB Output is correct
84 Correct 107 ms 24888 KB Output is correct
85 Correct 174 ms 35992 KB Output is correct
86 Correct 85 ms 11872 KB Output is correct
87 Correct 236 ms 28832 KB Output is correct
88 Correct 277 ms 28728 KB Output is correct
89 Correct 308 ms 28776 KB Output is correct
90 Correct 227 ms 28852 KB Output is correct
91 Correct 237 ms 27752 KB Output is correct
92 Correct 341 ms 28836 KB Output is correct
93 Correct 301 ms 37816 KB Output is correct
94 Correct 413 ms 40644 KB Output is correct
95 Correct 361 ms 43848 KB Output is correct
96 Correct 368 ms 29056 KB Output is correct
97 Correct 357 ms 34640 KB Output is correct