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Submission #561057

# Submission time Handle Problem Language Result Execution time Memory
561057 2022-05-12T08:31:13 Z nghiass001 Swapping Cities (APIO20_swap) C++17
100 / 100
 378 ms 39840 KB 
#include <bits/stdc++.h>
#define FOR(i,l,r) for(int i=(l); i<=(r); ++i)
#define REP(i,l,r) for(int i=(l); i<(r); ++i)
#define FORD(i,r,l) for(int i=(r); i>=(l); --i)
#define REPD(i,r,l) for(int i=(r)-1; i>=(l); --i)
#define getbit(x, i) (((x) >> (i)) & 1)
using namespace std;
const int N = 200005, logN = 19;
int n, depth[N], deg[N], dsu[N], isAny[N], ans[N];
int p[N][logN];
vector<int> S[N];

int DAD(int u) {
    return dsu[u] < 0 ? u : dsu[u] = DAD(dsu[u]);
}

void Union(int u, int v, int w) {
    int pu = DAD(u);
    int pv = DAD(v);
    if (pu == pv) {
        if (!isAny[pu]) {
            isAny[pu] = true;
            ans[pu] = w;
        }
        return;
    }
    int p_uv = n++;

    dsu[pu] = dsu[pv] = p_uv;
    S[p_uv].push_back(pu);
    S[p_uv].push_back(pv);

    isAny[p_uv] = (isAny[pu] || isAny[pv] || deg[u] > 1 || deg[v] > 1);
    if (isAny[p_uv]) ans[p_uv] = w;
    ++deg[u];
    ++deg[v];
}

void DFS(int u, int pa) {
    if (!isAny[u] && isAny[pa]) {
        isAny[u] = true;
        ans[u] = ans[pa];
    }
    depth[u] = depth[pa] + 1;
    p[u][0] = pa;
    REP(i, 1, logN) p[u][i] = p[p[u][i - 1]][i - 1];
    for(int v : S[u]) DFS(v, u);
}

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
    n = N;
    fill(dsu, dsu + n*2, -1);

    vector<int> tmp;
    REP(i, 0, M) tmp.push_back(i);

    sort(tmp.begin(), tmp.end(), [&] (int x, int y) { return W[x] < W[y]; });
    for(int id : tmp) {
        Union(U[id], V[id], W[id]);
    }
    REP(i, 0, logN) p[n][i] = n;
    DFS(n - 1, n);
}

int LCA(int u, int v) {
    if (depth[u] > depth[v]) swap(u, v);
    int diff = depth[v] - depth[u];
    REPD(i, logN, 0) if (getbit(diff, i)) v = p[v][i];
    REPD(i, logN, 0) if (p[u][i] != p[v][i]) u = p[u][i], v = p[v][i];
    return u == v ? u : p[u][0];
}

int getMinimumFuelCapacity(int u, int v) {
    int pa = LCA(u, v);
    return isAny[pa] ? ans[pa] : -1;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 5 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 5076 KB Output is correct
5 Correct 4 ms 5204 KB Output is correct
6 Correct 6 ms 5204 KB Output is correct
7 Correct 5 ms 5272 KB Output is correct
8 Correct 5 ms 5204 KB Output is correct
9 Correct 108 ms 24724 KB Output is correct
10 Correct 134 ms 29148 KB Output is correct
11 Correct 129 ms 28760 KB Output is correct
12 Correct 135 ms 30096 KB Output is correct
13 Correct 128 ms 31684 KB Output is correct
14 Correct 118 ms 25100 KB Output is correct
15 Correct 251 ms 33152 KB Output is correct
16 Correct 278 ms 32476 KB Output is correct
17 Correct 281 ms 33964 KB Output is correct
18 Correct 378 ms 35628 KB Output is correct
19 Correct 95 ms 14316 KB Output is correct
20 Correct 270 ms 35360 KB Output is correct
21 Correct 295 ms 34684 KB Output is correct
22 Correct 273 ms 36448 KB Output is correct
23 Correct 295 ms 37968 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 5 ms 4948 KB Output is correct
3 Correct 362 ms 37320 KB Output is correct
4 Correct 262 ms 38644 KB Output is correct
5 Correct 309 ms 38136 KB Output is correct
6 Correct 290 ms 38396 KB Output is correct
7 Correct 297 ms 38352 KB Output is correct
8 Correct 259 ms 37256 KB Output is correct
9 Correct 317 ms 38048 KB Output is correct
10 Correct 300 ms 37004 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 5 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 5076 KB Output is correct
5 Correct 4 ms 5204 KB Output is correct
6 Correct 6 ms 5204 KB Output is correct
7 Correct 5 ms 5272 KB Output is correct
8 Correct 5 ms 5204 KB Output is correct
9 Correct 4 ms 4948 KB Output is correct
10 Correct 4 ms 5204 KB Output is correct
11 Correct 5 ms 5276 KB Output is correct
12 Correct 4 ms 5284 KB Output is correct
13 Correct 4 ms 5144 KB Output is correct
14 Correct 3 ms 5252 KB Output is correct
15 Correct 4 ms 5280 KB Output is correct
16 Correct 4 ms 5280 KB Output is correct
17 Correct 4 ms 5204 KB Output is correct
18 Correct 5 ms 5284 KB Output is correct
19 Correct 4 ms 5204 KB Output is correct
20 Correct 6 ms 5204 KB Output is correct
21 Correct 4 ms 5204 KB Output is correct
22 Correct 4 ms 5156 KB Output is correct
23 Correct 4 ms 5204 KB Output is correct
24 Correct 5 ms 5316 KB Output is correct
25 Correct 4 ms 5332 KB Output is correct
26 Correct 4 ms 5268 KB Output is correct
27 Correct 4 ms 5204 KB Output is correct
28 Correct 4 ms 5332 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 5 ms 4948 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 4 ms 5204 KB Output is correct
7 Correct 6 ms 5204 KB Output is correct
8 Correct 5 ms 5272 KB Output is correct
9 Correct 5 ms 5204 KB Output is correct
10 Correct 108 ms 24724 KB Output is correct
11 Correct 134 ms 29148 KB Output is correct
12 Correct 129 ms 28760 KB Output is correct
13 Correct 135 ms 30096 KB Output is correct
14 Correct 128 ms 31684 KB Output is correct
15 Correct 4 ms 5204 KB Output is correct
16 Correct 5 ms 5276 KB Output is correct
17 Correct 4 ms 5284 KB Output is correct
18 Correct 4 ms 5144 KB Output is correct
19 Correct 3 ms 5252 KB Output is correct
20 Correct 4 ms 5280 KB Output is correct
21 Correct 4 ms 5280 KB Output is correct
22 Correct 4 ms 5204 KB Output is correct
23 Correct 5 ms 5284 KB Output is correct
24 Correct 4 ms 5204 KB Output is correct
25 Correct 6 ms 5204 KB Output is correct
26 Correct 4 ms 5204 KB Output is correct
27 Correct 4 ms 5156 KB Output is correct
28 Correct 4 ms 5204 KB Output is correct
29 Correct 5 ms 5316 KB Output is correct
30 Correct 4 ms 5332 KB Output is correct
31 Correct 4 ms 5268 KB Output is correct
32 Correct 4 ms 5204 KB Output is correct
33 Correct 4 ms 5332 KB Output is correct
34 Correct 14 ms 8532 KB Output is correct
35 Correct 124 ms 31000 KB Output is correct
36 Correct 130 ms 31004 KB Output is correct
37 Correct 120 ms 30976 KB Output is correct
38 Correct 124 ms 30728 KB Output is correct
39 Correct 120 ms 30592 KB Output is correct
40 Correct 114 ms 28440 KB Output is correct
41 Correct 123 ms 31252 KB Output is correct
42 Correct 121 ms 30988 KB Output is correct
43 Correct 99 ms 33032 KB Output is correct
44 Correct 137 ms 31468 KB Output is correct
45 Correct 131 ms 29760 KB Output is correct
46 Correct 119 ms 31036 KB Output is correct
47 Correct 121 ms 30948 KB Output is correct
48 Correct 130 ms 31756 KB Output is correct
49 Correct 69 ms 12592 KB Output is correct
50 Correct 59 ms 12312 KB Output is correct
51 Correct 106 ms 25540 KB Output is correct
52 Correct 152 ms 34260 KB Output is correct
53 Correct 175 ms 35496 KB Output is correct
54 Correct 178 ms 35872 KB Output is correct
55 Correct 99 ms 32960 KB Output is correct
56 Correct 167 ms 35788 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 5 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 5076 KB Output is correct
5 Correct 4 ms 5204 KB Output is correct
6 Correct 6 ms 5204 KB Output is correct
7 Correct 5 ms 5272 KB Output is correct
8 Correct 5 ms 5204 KB Output is correct
9 Correct 108 ms 24724 KB Output is correct
10 Correct 134 ms 29148 KB Output is correct
11 Correct 129 ms 28760 KB Output is correct
12 Correct 135 ms 30096 KB Output is correct
13 Correct 128 ms 31684 KB Output is correct
14 Correct 118 ms 25100 KB Output is correct
15 Correct 251 ms 33152 KB Output is correct
16 Correct 278 ms 32476 KB Output is correct
17 Correct 281 ms 33964 KB Output is correct
18 Correct 378 ms 35628 KB Output is correct
19 Correct 362 ms 37320 KB Output is correct
20 Correct 262 ms 38644 KB Output is correct
21 Correct 309 ms 38136 KB Output is correct
22 Correct 290 ms 38396 KB Output is correct
23 Correct 297 ms 38352 KB Output is correct
24 Correct 259 ms 37256 KB Output is correct
25 Correct 317 ms 38048 KB Output is correct
26 Correct 300 ms 37004 KB Output is correct
27 Correct 4 ms 5204 KB Output is correct
28 Correct 5 ms 5276 KB Output is correct
29 Correct 4 ms 5284 KB Output is correct
30 Correct 4 ms 5144 KB Output is correct
31 Correct 3 ms 5252 KB Output is correct
32 Correct 4 ms 5280 KB Output is correct
33 Correct 4 ms 5280 KB Output is correct
34 Correct 4 ms 5204 KB Output is correct
35 Correct 5 ms 5284 KB Output is correct
36 Correct 14 ms 8532 KB Output is correct
37 Correct 124 ms 31000 KB Output is correct
38 Correct 130 ms 31004 KB Output is correct
39 Correct 120 ms 30976 KB Output is correct
40 Correct 124 ms 30728 KB Output is correct
41 Correct 120 ms 30592 KB Output is correct
42 Correct 114 ms 28440 KB Output is correct
43 Correct 123 ms 31252 KB Output is correct
44 Correct 121 ms 30988 KB Output is correct
45 Correct 99 ms 33032 KB Output is correct
46 Correct 137 ms 31468 KB Output is correct
47 Correct 24 ms 8732 KB Output is correct
48 Correct 235 ms 35572 KB Output is correct
49 Correct 284 ms 35452 KB Output is correct
50 Correct 228 ms 35488 KB Output is correct
51 Correct 235 ms 35316 KB Output is correct
52 Correct 220 ms 34056 KB Output is correct
53 Correct 202 ms 28048 KB Output is correct
54 Correct 236 ms 36456 KB Output is correct
55 Correct 236 ms 35708 KB Output is correct
56 Correct 272 ms 37216 KB Output is correct
57 Correct 257 ms 36436 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 5 ms 4948 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 4 ms 5204 KB Output is correct
7 Correct 6 ms 5204 KB Output is correct
8 Correct 5 ms 5272 KB Output is correct
9 Correct 5 ms 5204 KB Output is correct
10 Correct 108 ms 24724 KB Output is correct
11 Correct 134 ms 29148 KB Output is correct
12 Correct 129 ms 28760 KB Output is correct
13 Correct 135 ms 30096 KB Output is correct
14 Correct 128 ms 31684 KB Output is correct
15 Correct 118 ms 25100 KB Output is correct
16 Correct 251 ms 33152 KB Output is correct
17 Correct 278 ms 32476 KB Output is correct
18 Correct 281 ms 33964 KB Output is correct
19 Correct 378 ms 35628 KB Output is correct
20 Correct 362 ms 37320 KB Output is correct
21 Correct 262 ms 38644 KB Output is correct
22 Correct 309 ms 38136 KB Output is correct
23 Correct 290 ms 38396 KB Output is correct
24 Correct 297 ms 38352 KB Output is correct
25 Correct 259 ms 37256 KB Output is correct
26 Correct 317 ms 38048 KB Output is correct
27 Correct 300 ms 37004 KB Output is correct
28 Correct 4 ms 5204 KB Output is correct
29 Correct 5 ms 5276 KB Output is correct
30 Correct 4 ms 5284 KB Output is correct
31 Correct 4 ms 5144 KB Output is correct
32 Correct 3 ms 5252 KB Output is correct
33 Correct 4 ms 5280 KB Output is correct
34 Correct 4 ms 5280 KB Output is correct
35 Correct 4 ms 5204 KB Output is correct
36 Correct 5 ms 5284 KB Output is correct
37 Correct 14 ms 8532 KB Output is correct
38 Correct 124 ms 31000 KB Output is correct
39 Correct 130 ms 31004 KB Output is correct
40 Correct 120 ms 30976 KB Output is correct
41 Correct 124 ms 30728 KB Output is correct
42 Correct 120 ms 30592 KB Output is correct
43 Correct 114 ms 28440 KB Output is correct
44 Correct 123 ms 31252 KB Output is correct
45 Correct 121 ms 30988 KB Output is correct
46 Correct 99 ms 33032 KB Output is correct
47 Correct 137 ms 31468 KB Output is correct
48 Correct 24 ms 8732 KB Output is correct
49 Correct 235 ms 35572 KB Output is correct
50 Correct 284 ms 35452 KB Output is correct
51 Correct 228 ms 35488 KB Output is correct
52 Correct 235 ms 35316 KB Output is correct
53 Correct 220 ms 34056 KB Output is correct
54 Correct 202 ms 28048 KB Output is correct
55 Correct 236 ms 36456 KB Output is correct
56 Correct 236 ms 35708 KB Output is correct
57 Correct 272 ms 37216 KB Output is correct
58 Correct 257 ms 36436 KB Output is correct
59 Correct 95 ms 14316 KB Output is correct
60 Correct 270 ms 35360 KB Output is correct
61 Correct 295 ms 34684 KB Output is correct
62 Correct 273 ms 36448 KB Output is correct
63 Correct 295 ms 37968 KB Output is correct
64 Correct 4 ms 5204 KB Output is correct
65 Correct 6 ms 5204 KB Output is correct
66 Correct 4 ms 5204 KB Output is correct
67 Correct 4 ms 5156 KB Output is correct
68 Correct 4 ms 5204 KB Output is correct
69 Correct 5 ms 5316 KB Output is correct
70 Correct 4 ms 5332 KB Output is correct
71 Correct 4 ms 5268 KB Output is correct
72 Correct 4 ms 5204 KB Output is correct
73 Correct 4 ms 5332 KB Output is correct
74 Correct 131 ms 29760 KB Output is correct
75 Correct 119 ms 31036 KB Output is correct
76 Correct 121 ms 30948 KB Output is correct
77 Correct 130 ms 31756 KB Output is correct
78 Correct 69 ms 12592 KB Output is correct
79 Correct 59 ms 12312 KB Output is correct
80 Correct 106 ms 25540 KB Output is correct
81 Correct 152 ms 34260 KB Output is correct
82 Correct 175 ms 35496 KB Output is correct
83 Correct 178 ms 35872 KB Output is correct
84 Correct 99 ms 32960 KB Output is correct
85 Correct 167 ms 35788 KB Output is correct
86 Correct 67 ms 15312 KB Output is correct
87 Correct 242 ms 35572 KB Output is correct
88 Correct 219 ms 35556 KB Output is correct
89 Correct 255 ms 34544 KB Output is correct
90 Correct 158 ms 16408 KB Output is correct
91 Correct 172 ms 18376 KB Output is correct
92 Correct 218 ms 30180 KB Output is correct
93 Correct 271 ms 38312 KB Output is correct
94 Correct 286 ms 39264 KB Output is correct
95 Correct 303 ms 39840 KB Output is correct
96 Correct 310 ms 37316 KB Output is correct
97 Correct 270 ms 38428 KB Output is correct