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Submission #869892

# Submission time Handle Problem Language Result Execution time Memory
869892 2023-11-06T06:17:44 Z hgmhc Swapping Cities (APIO20_swap) C++17
100 / 100
 394 ms 64700 KB 
#include <bits/stdc++.h>
using namespace std; using ii = pair<int,int>; using vi = vector<int>;
#define rep(i,a,b) for (auto i = (a); i <= (b); ++i)
#define all(x) begin(x), end(x)
#define siz(x) int((x).size())
#define mup(x,y) x = min(x,y)
#define fi first
#define se second

const int N = 1e5+3;
vector<tuple<int,int,int>> edges;
vector<ii> group_log[N];
int swappable_moment[N];

int timer;
int deg[N];

struct dsu {
    set<int> s; int name; bool swappable;
    dsu(int i): s({i}), name(i), swappable(0) {}
    void insert(int x) {
        if (s.count(x)) swappable=1;
        else {
            s.insert(x);
            if (group_log[x].back().fi == timer) group_log[x].back().se = name;
            else group_log[x].emplace_back(timer, name);
        }
    }
} *ds[N];

dsu* merge(dsu* x, dsu* y) {
    if (x == y) {
        x->swappable = 1;
        mup(swappable_moment[x->name], timer);
        return x;
    }
    if (siz(x->s) < siz(y->s)) swap(x,y);
    x->swappable |= y->swappable;
    for (auto v : y->s) x->insert(v), ds[v] = x;
    if (x->swappable) mup(swappable_moment[x->name], timer);
    return x;
}

void init(int n, int m, vi u, vi v, vi w) {
    rep(i,0,m-1) edges.emplace_back(u[i],v[i],w[i]);
    sort(all(edges),[](auto&x, auto&y){ return get<2>(x) < get<2>(y); });
    rep(i,0,n-1) {
        ds[i] = new dsu(i);
        group_log[i].emplace_back(0,i);
        swappable_moment[i] = 1e9+1;
    }
    for (auto [u,v,w] : edges) {
        timer = w;
        if (++deg[u]>2) ds[u]->swappable=1;
        if (++deg[v]>2) ds[v]->swappable=1;
        ds[u] = ds[v] = merge(ds[u],ds[v]);
    }
}

int getMinimumFuelCapacity(int x, int y) {
    auto valid = [&](int t) {
        int a = prev(lower_bound(all(group_log[x]),ii{t+1,-1}))->se;
        int b = prev(lower_bound(all(group_log[y]),ii{t+1,-1}))->se;
        if (a != b) return false;
        return swappable_moment[a] <= t;
    };
    const int INF = 1e9+1;
    int a = 0, b = INF, m;
    while (a <= b) {
        m = (a+b)/2;
        if (valid(m)) b = m-1;
        else a = m+1;
    }
    if (a >= INF) return -1;
    return a;
}

#ifdef LOCAL

int main() {
    int N, M;
    assert(2 == scanf("%d %d", &N, &M));
    
    std::vector<int> U(M), V(M), W(M);
    for (int i = 0; i < M; ++i) {
        assert(3 == scanf("%d %d %d", &U[i], &V[i], &W[i]));
    }

    int Q;
    assert(1 == scanf("%d", &Q));

    std::vector<int> X(Q), Y(Q);
    for (int i = 0; i < Q; ++i) {
        assert(2 == scanf("%d %d", &X[i], &Y[i]));
    }

    init(N, M, U, V, W);
    
    std::vector<int> minimum_fuel_capacities(Q);
    for (int i = 0; i < Q; ++i) {
        minimum_fuel_capacities[i] = getMinimumFuelCapacity(X[i], Y[i]);
    }

    for (int i = 0; i < Q; ++i) {
        printf("%d\n", minimum_fuel_capacities[i]);
    }
    
    return 0;
}


#endif

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3928 KB Output is correct
2 Correct 1 ms 3928 KB Output is correct
3 Correct 1 ms 3932 KB Output is correct
4 Correct 1 ms 4188 KB Output is correct
5 Correct 2 ms 4444 KB Output is correct
6 Correct 2 ms 4444 KB Output is correct
7 Correct 2 ms 4444 KB Output is correct
8 Correct 2 ms 4444 KB Output is correct
9 Correct 158 ms 46632 KB Output is correct
10 Correct 200 ms 54980 KB Output is correct
11 Correct 201 ms 54240 KB Output is correct
12 Correct 205 ms 57540 KB Output is correct
13 Correct 105 ms 31176 KB Output is correct
14 Correct 159 ms 45952 KB Output is correct
15 Correct 389 ms 58324 KB Output is correct
16 Correct 350 ms 56548 KB Output is correct
17 Correct 372 ms 60144 KB Output is correct
18 Correct 223 ms 33068 KB Output is correct
19 Correct 133 ms 15072 KB Output is correct
20 Correct 372 ms 59568 KB Output is correct
21 Correct 367 ms 57828 KB Output is correct
22 Correct 388 ms 61216 KB Output is correct
23 Correct 242 ms 34548 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3928 KB Output is correct
2 Correct 1 ms 3928 KB Output is correct
3 Correct 205 ms 28272 KB Output is correct
4 Correct 216 ms 29304 KB Output is correct
5 Correct 207 ms 29164 KB Output is correct
6 Correct 207 ms 29488 KB Output is correct
7 Correct 212 ms 29100 KB Output is correct
8 Correct 219 ms 28280 KB Output is correct
9 Correct 203 ms 28996 KB Output is correct
10 Correct 217 ms 27988 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3928 KB Output is correct
2 Correct 1 ms 3928 KB Output is correct
3 Correct 1 ms 3932 KB Output is correct
4 Correct 1 ms 4188 KB Output is correct
5 Correct 2 ms 4444 KB Output is correct
6 Correct 2 ms 4444 KB Output is correct
7 Correct 2 ms 4444 KB Output is correct
8 Correct 2 ms 4444 KB Output is correct
9 Correct 1 ms 3932 KB Output is correct
10 Correct 2 ms 4444 KB Output is correct
11 Correct 2 ms 4444 KB Output is correct
12 Correct 2 ms 4444 KB Output is correct
13 Correct 2 ms 4444 KB Output is correct
14 Correct 2 ms 4444 KB Output is correct
15 Correct 2 ms 4444 KB Output is correct
16 Correct 2 ms 4444 KB Output is correct
17 Correct 2 ms 4440 KB Output is correct
18 Correct 2 ms 4444 KB Output is correct
19 Correct 3 ms 4188 KB Output is correct
20 Correct 2 ms 4444 KB Output is correct
21 Correct 2 ms 4440 KB Output is correct
22 Correct 2 ms 4184 KB Output is correct
23 Correct 2 ms 4188 KB Output is correct
24 Correct 2 ms 4444 KB Output is correct
25 Correct 2 ms 4444 KB Output is correct
26 Correct 2 ms 4440 KB Output is correct
27 Correct 2 ms 4444 KB Output is correct
28 Correct 2 ms 4444 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3932 KB Output is correct
2 Correct 1 ms 3928 KB Output is correct
3 Correct 1 ms 3928 KB Output is correct
4 Correct 1 ms 3932 KB Output is correct
5 Correct 1 ms 4188 KB Output is correct
6 Correct 2 ms 4444 KB Output is correct
7 Correct 2 ms 4444 KB Output is correct
8 Correct 2 ms 4444 KB Output is correct
9 Correct 2 ms 4444 KB Output is correct
10 Correct 158 ms 46632 KB Output is correct
11 Correct 200 ms 54980 KB Output is correct
12 Correct 201 ms 54240 KB Output is correct
13 Correct 205 ms 57540 KB Output is correct
14 Correct 105 ms 31176 KB Output is correct
15 Correct 2 ms 4444 KB Output is correct
16 Correct 2 ms 4444 KB Output is correct
17 Correct 2 ms 4444 KB Output is correct
18 Correct 2 ms 4444 KB Output is correct
19 Correct 2 ms 4444 KB Output is correct
20 Correct 2 ms 4444 KB Output is correct
21 Correct 2 ms 4444 KB Output is correct
22 Correct 2 ms 4440 KB Output is correct
23 Correct 2 ms 4444 KB Output is correct
24 Correct 3 ms 4188 KB Output is correct
25 Correct 2 ms 4444 KB Output is correct
26 Correct 2 ms 4440 KB Output is correct
27 Correct 2 ms 4184 KB Output is correct
28 Correct 2 ms 4188 KB Output is correct
29 Correct 2 ms 4444 KB Output is correct
30 Correct 2 ms 4444 KB Output is correct
31 Correct 2 ms 4440 KB Output is correct
32 Correct 2 ms 4444 KB Output is correct
33 Correct 2 ms 4444 KB Output is correct
34 Correct 16 ms 9756 KB Output is correct
35 Correct 220 ms 57184 KB Output is correct
36 Correct 239 ms 56060 KB Output is correct
37 Correct 202 ms 53960 KB Output is correct
38 Correct 191 ms 51144 KB Output is correct
39 Correct 198 ms 50276 KB Output is correct
40 Correct 189 ms 44740 KB Output is correct
41 Correct 222 ms 58820 KB Output is correct
42 Correct 234 ms 58856 KB Output is correct
43 Correct 106 ms 29804 KB Output is correct
44 Correct 192 ms 48716 KB Output is correct
45 Correct 128 ms 31520 KB Output is correct
46 Correct 208 ms 55828 KB Output is correct
47 Correct 168 ms 44380 KB Output is correct
48 Correct 133 ms 34900 KB Output is correct
49 Correct 47 ms 11464 KB Output is correct
50 Correct 40 ms 10436 KB Output is correct
51 Correct 92 ms 26212 KB Output is correct
52 Correct 211 ms 55956 KB Output is correct
53 Correct 176 ms 41936 KB Output is correct
54 Correct 247 ms 61836 KB Output is correct
55 Correct 106 ms 30404 KB Output is correct
56 Correct 169 ms 38436 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3928 KB Output is correct
2 Correct 1 ms 3928 KB Output is correct
3 Correct 1 ms 3932 KB Output is correct
4 Correct 1 ms 4188 KB Output is correct
5 Correct 2 ms 4444 KB Output is correct
6 Correct 2 ms 4444 KB Output is correct
7 Correct 2 ms 4444 KB Output is correct
8 Correct 2 ms 4444 KB Output is correct
9 Correct 158 ms 46632 KB Output is correct
10 Correct 200 ms 54980 KB Output is correct
11 Correct 201 ms 54240 KB Output is correct
12 Correct 205 ms 57540 KB Output is correct
13 Correct 105 ms 31176 KB Output is correct
14 Correct 159 ms 45952 KB Output is correct
15 Correct 389 ms 58324 KB Output is correct
16 Correct 350 ms 56548 KB Output is correct
17 Correct 372 ms 60144 KB Output is correct
18 Correct 223 ms 33068 KB Output is correct
19 Correct 205 ms 28272 KB Output is correct
20 Correct 216 ms 29304 KB Output is correct
21 Correct 207 ms 29164 KB Output is correct
22 Correct 207 ms 29488 KB Output is correct
23 Correct 212 ms 29100 KB Output is correct
24 Correct 219 ms 28280 KB Output is correct
25 Correct 203 ms 28996 KB Output is correct
26 Correct 217 ms 27988 KB Output is correct
27 Correct 2 ms 4444 KB Output is correct
28 Correct 2 ms 4444 KB Output is correct
29 Correct 2 ms 4444 KB Output is correct
30 Correct 2 ms 4444 KB Output is correct
31 Correct 2 ms 4444 KB Output is correct
32 Correct 2 ms 4444 KB Output is correct
33 Correct 2 ms 4444 KB Output is correct
34 Correct 2 ms 4440 KB Output is correct
35 Correct 2 ms 4444 KB Output is correct
36 Correct 16 ms 9756 KB Output is correct
37 Correct 220 ms 57184 KB Output is correct
38 Correct 239 ms 56060 KB Output is correct
39 Correct 202 ms 53960 KB Output is correct
40 Correct 191 ms 51144 KB Output is correct
41 Correct 198 ms 50276 KB Output is correct
42 Correct 189 ms 44740 KB Output is correct
43 Correct 222 ms 58820 KB Output is correct
44 Correct 234 ms 58856 KB Output is correct
45 Correct 106 ms 29804 KB Output is correct
46 Correct 192 ms 48716 KB Output is correct
47 Correct 29 ms 9696 KB Output is correct
48 Correct 357 ms 59784 KB Output is correct
49 Correct 348 ms 57628 KB Output is correct
50 Correct 328 ms 57136 KB Output is correct
51 Correct 331 ms 54840 KB Output is correct
52 Correct 300 ms 50036 KB Output is correct
53 Correct 277 ms 36388 KB Output is correct
54 Correct 343 ms 59952 KB Output is correct
55 Correct 356 ms 61952 KB Output is correct
56 Correct 226 ms 33584 KB Output is correct
57 Correct 336 ms 50636 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3932 KB Output is correct
2 Correct 1 ms 3928 KB Output is correct
3 Correct 1 ms 3928 KB Output is correct
4 Correct 1 ms 3932 KB Output is correct
5 Correct 1 ms 4188 KB Output is correct
6 Correct 2 ms 4444 KB Output is correct
7 Correct 2 ms 4444 KB Output is correct
8 Correct 2 ms 4444 KB Output is correct
9 Correct 2 ms 4444 KB Output is correct
10 Correct 158 ms 46632 KB Output is correct
11 Correct 200 ms 54980 KB Output is correct
12 Correct 201 ms 54240 KB Output is correct
13 Correct 205 ms 57540 KB Output is correct
14 Correct 105 ms 31176 KB Output is correct
15 Correct 159 ms 45952 KB Output is correct
16 Correct 389 ms 58324 KB Output is correct
17 Correct 350 ms 56548 KB Output is correct
18 Correct 372 ms 60144 KB Output is correct
19 Correct 223 ms 33068 KB Output is correct
20 Correct 205 ms 28272 KB Output is correct
21 Correct 216 ms 29304 KB Output is correct
22 Correct 207 ms 29164 KB Output is correct
23 Correct 207 ms 29488 KB Output is correct
24 Correct 212 ms 29100 KB Output is correct
25 Correct 219 ms 28280 KB Output is correct
26 Correct 203 ms 28996 KB Output is correct
27 Correct 217 ms 27988 KB Output is correct
28 Correct 2 ms 4444 KB Output is correct
29 Correct 2 ms 4444 KB Output is correct
30 Correct 2 ms 4444 KB Output is correct
31 Correct 2 ms 4444 KB Output is correct
32 Correct 2 ms 4444 KB Output is correct
33 Correct 2 ms 4444 KB Output is correct
34 Correct 2 ms 4444 KB Output is correct
35 Correct 2 ms 4440 KB Output is correct
36 Correct 2 ms 4444 KB Output is correct
37 Correct 16 ms 9756 KB Output is correct
38 Correct 220 ms 57184 KB Output is correct
39 Correct 239 ms 56060 KB Output is correct
40 Correct 202 ms 53960 KB Output is correct
41 Correct 191 ms 51144 KB Output is correct
42 Correct 198 ms 50276 KB Output is correct
43 Correct 189 ms 44740 KB Output is correct
44 Correct 222 ms 58820 KB Output is correct
45 Correct 234 ms 58856 KB Output is correct
46 Correct 106 ms 29804 KB Output is correct
47 Correct 192 ms 48716 KB Output is correct
48 Correct 29 ms 9696 KB Output is correct
49 Correct 357 ms 59784 KB Output is correct
50 Correct 348 ms 57628 KB Output is correct
51 Correct 328 ms 57136 KB Output is correct
52 Correct 331 ms 54840 KB Output is correct
53 Correct 300 ms 50036 KB Output is correct
54 Correct 277 ms 36388 KB Output is correct
55 Correct 343 ms 59952 KB Output is correct
56 Correct 356 ms 61952 KB Output is correct
57 Correct 226 ms 33584 KB Output is correct
58 Correct 336 ms 50636 KB Output is correct
59 Correct 133 ms 15072 KB Output is correct
60 Correct 372 ms 59568 KB Output is correct
61 Correct 367 ms 57828 KB Output is correct
62 Correct 388 ms 61216 KB Output is correct
63 Correct 242 ms 34548 KB Output is correct
64 Correct 3 ms 4188 KB Output is correct
65 Correct 2 ms 4444 KB Output is correct
66 Correct 2 ms 4440 KB Output is correct
67 Correct 2 ms 4184 KB Output is correct
68 Correct 2 ms 4188 KB Output is correct
69 Correct 2 ms 4444 KB Output is correct
70 Correct 2 ms 4444 KB Output is correct
71 Correct 2 ms 4440 KB Output is correct
72 Correct 2 ms 4444 KB Output is correct
73 Correct 2 ms 4444 KB Output is correct
74 Correct 128 ms 31520 KB Output is correct
75 Correct 208 ms 55828 KB Output is correct
76 Correct 168 ms 44380 KB Output is correct
77 Correct 133 ms 34900 KB Output is correct
78 Correct 47 ms 11464 KB Output is correct
79 Correct 40 ms 10436 KB Output is correct
80 Correct 92 ms 26212 KB Output is correct
81 Correct 211 ms 55956 KB Output is correct
82 Correct 176 ms 41936 KB Output is correct
83 Correct 247 ms 61836 KB Output is correct
84 Correct 106 ms 30404 KB Output is correct
85 Correct 169 ms 38436 KB Output is correct
86 Correct 68 ms 15048 KB Output is correct
87 Correct 337 ms 55580 KB Output is correct
88 Correct 339 ms 56428 KB Output is correct
89 Correct 251 ms 35816 KB Output is correct
90 Correct 166 ms 14032 KB Output is correct
91 Correct 172 ms 14816 KB Output is correct
92 Correct 224 ms 29224 KB Output is correct
93 Correct 353 ms 54904 KB Output is correct
94 Correct 326 ms 45472 KB Output is correct
95 Correct 394 ms 64700 KB Output is correct
96 Correct 222 ms 33328 KB Output is correct
97 Correct 293 ms 40324 KB Output is correct