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Submission #869877

# Submission time Handle Problem Language Result Execution time Memory
869877 2023-11-06T05:21:43 Z hgmhc Swapping Cities (APIO20_swap) C++17
100 / 100
 490 ms 71256 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 per(i,a,b) for (auto i = (b); i >= (a); --i)
#define all(x) begin(x), end(x)
#define siz(x) int((x).size())
#define Mup(x,y) x = max(x,y)
#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];

void merge(dsu* &x, dsu* &y) {
    if (x == y) {
        x->swappable = 1;
        mup(swappable_moment[x->name], timer);
        return;
    }
    // cout << siz(x->s) << ' ' << siz(y->s) << endl;
    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);
    y = 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;
        
        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 3932 KB Output is correct
2 Correct 1 ms 3932 KB Output is correct
3 Correct 1 ms 3928 KB Output is correct
4 Correct 2 ms 4188 KB Output is correct
5 Correct 3 ms 4444 KB Output is correct
6 Correct 2 ms 4444 KB Output is correct
7 Correct 2 ms 4440 KB Output is correct
8 Correct 2 ms 4444 KB Output is correct
9 Correct 170 ms 46516 KB Output is correct
10 Correct 206 ms 55204 KB Output is correct
11 Correct 205 ms 53952 KB Output is correct
12 Correct 219 ms 57540 KB Output is correct
13 Correct 111 ms 31176 KB Output is correct
14 Correct 198 ms 45912 KB Output is correct
15 Correct 363 ms 58320 KB Output is correct
16 Correct 382 ms 56692 KB Output is correct
17 Correct 399 ms 60340 KB Output is correct
18 Correct 228 ms 33324 KB Output is correct
19 Correct 125 ms 15124 KB Output is correct
20 Correct 369 ms 63816 KB Output is correct
21 Correct 364 ms 62084 KB Output is correct
22 Correct 411 ms 65836 KB Output is correct
23 Correct 233 ms 38764 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3932 KB Output is correct
2 Correct 1 ms 3932 KB Output is correct
3 Correct 203 ms 28264 KB Output is correct
4 Correct 204 ms 29296 KB Output is correct
5 Correct 210 ms 28892 KB Output is correct
6 Correct 205 ms 29388 KB Output is correct
7 Correct 210 ms 29096 KB Output is correct
8 Correct 209 ms 28280 KB Output is correct
9 Correct 213 ms 29260 KB Output is correct
10 Correct 205 ms 28016 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3932 KB Output is correct
2 Correct 1 ms 3932 KB Output is correct
3 Correct 1 ms 3928 KB Output is correct
4 Correct 2 ms 4188 KB Output is correct
5 Correct 3 ms 4444 KB Output is correct
6 Correct 2 ms 4444 KB Output is correct
7 Correct 2 ms 4440 KB Output is correct
8 Correct 2 ms 4444 KB Output is correct
9 Correct 1 ms 3928 KB Output is correct
10 Correct 2 ms 4444 KB Output is correct
11 Correct 2 ms 4440 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 4440 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 4188 KB Output is correct
20 Correct 3 ms 4440 KB Output is correct
21 Correct 2 ms 4444 KB Output is correct
22 Correct 2 ms 4188 KB Output is correct
23 Correct 2 ms 4444 KB Output is correct
24 Correct 2 ms 4448 KB Output is correct
25 Correct 2 ms 4444 KB Output is correct
26 Correct 2 ms 4444 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 3928 KB Output is correct
2 Correct 1 ms 3932 KB Output is correct
3 Correct 1 ms 3932 KB Output is correct
4 Correct 1 ms 3928 KB Output is correct
5 Correct 2 ms 4188 KB Output is correct
6 Correct 3 ms 4444 KB Output is correct
7 Correct 2 ms 4444 KB Output is correct
8 Correct 2 ms 4440 KB Output is correct
9 Correct 2 ms 4444 KB Output is correct
10 Correct 170 ms 46516 KB Output is correct
11 Correct 206 ms 55204 KB Output is correct
12 Correct 205 ms 53952 KB Output is correct
13 Correct 219 ms 57540 KB Output is correct
14 Correct 111 ms 31176 KB Output is correct
15 Correct 2 ms 4444 KB Output is correct
16 Correct 2 ms 4440 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 4440 KB Output is correct
22 Correct 2 ms 4444 KB Output is correct
23 Correct 2 ms 4444 KB Output is correct
24 Correct 2 ms 4188 KB Output is correct
25 Correct 3 ms 4440 KB Output is correct
26 Correct 2 ms 4444 KB Output is correct
27 Correct 2 ms 4188 KB Output is correct
28 Correct 2 ms 4444 KB Output is correct
29 Correct 2 ms 4448 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 19 ms 10008 KB Output is correct
35 Correct 237 ms 58820 KB Output is correct
36 Correct 216 ms 57796 KB Output is correct
37 Correct 218 ms 56140 KB Output is correct
38 Correct 203 ms 53116 KB Output is correct
39 Correct 217 ms 51812 KB Output is correct
40 Correct 218 ms 46316 KB Output is correct
41 Correct 261 ms 60796 KB Output is correct
42 Correct 275 ms 60520 KB Output is correct
43 Correct 117 ms 31576 KB Output is correct
44 Correct 229 ms 50764 KB Output is correct
45 Correct 155 ms 34084 KB Output is correct
46 Correct 261 ms 57624 KB Output is correct
47 Correct 231 ms 46148 KB Output is correct
48 Correct 164 ms 37064 KB Output is correct
49 Correct 64 ms 13816 KB Output is correct
50 Correct 44 ms 12744 KB Output is correct
51 Correct 110 ms 28872 KB Output is correct
52 Correct 308 ms 59216 KB Output is correct
53 Correct 218 ms 46264 KB Output is correct
54 Correct 319 ms 65764 KB Output is correct
55 Correct 120 ms 32032 KB Output is correct
56 Correct 187 ms 42620 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3932 KB Output is correct
2 Correct 1 ms 3932 KB Output is correct
3 Correct 1 ms 3928 KB Output is correct
4 Correct 2 ms 4188 KB Output is correct
5 Correct 3 ms 4444 KB Output is correct
6 Correct 2 ms 4444 KB Output is correct
7 Correct 2 ms 4440 KB Output is correct
8 Correct 2 ms 4444 KB Output is correct
9 Correct 170 ms 46516 KB Output is correct
10 Correct 206 ms 55204 KB Output is correct
11 Correct 205 ms 53952 KB Output is correct
12 Correct 219 ms 57540 KB Output is correct
13 Correct 111 ms 31176 KB Output is correct
14 Correct 198 ms 45912 KB Output is correct
15 Correct 363 ms 58320 KB Output is correct
16 Correct 382 ms 56692 KB Output is correct
17 Correct 399 ms 60340 KB Output is correct
18 Correct 228 ms 33324 KB Output is correct
19 Correct 203 ms 28264 KB Output is correct
20 Correct 204 ms 29296 KB Output is correct
21 Correct 210 ms 28892 KB Output is correct
22 Correct 205 ms 29388 KB Output is correct
23 Correct 210 ms 29096 KB Output is correct
24 Correct 209 ms 28280 KB Output is correct
25 Correct 213 ms 29260 KB Output is correct
26 Correct 205 ms 28016 KB Output is correct
27 Correct 2 ms 4444 KB Output is correct
28 Correct 2 ms 4440 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 4440 KB Output is correct
34 Correct 2 ms 4444 KB Output is correct
35 Correct 2 ms 4444 KB Output is correct
36 Correct 19 ms 10008 KB Output is correct
37 Correct 237 ms 58820 KB Output is correct
38 Correct 216 ms 57796 KB Output is correct
39 Correct 218 ms 56140 KB Output is correct
40 Correct 203 ms 53116 KB Output is correct
41 Correct 217 ms 51812 KB Output is correct
42 Correct 218 ms 46316 KB Output is correct
43 Correct 261 ms 60796 KB Output is correct
44 Correct 275 ms 60520 KB Output is correct
45 Correct 117 ms 31576 KB Output is correct
46 Correct 229 ms 50764 KB Output is correct
47 Correct 31 ms 10232 KB Output is correct
48 Correct 392 ms 63816 KB Output is correct
49 Correct 392 ms 61768 KB Output is correct
50 Correct 384 ms 61480 KB Output is correct
51 Correct 410 ms 59044 KB Output is correct
52 Correct 386 ms 54004 KB Output is correct
53 Correct 313 ms 40032 KB Output is correct
54 Correct 412 ms 64584 KB Output is correct
55 Correct 411 ms 66092 KB Output is correct
56 Correct 267 ms 37692 KB Output is correct
57 Correct 379 ms 55080 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3928 KB Output is correct
2 Correct 1 ms 3932 KB Output is correct
3 Correct 1 ms 3932 KB Output is correct
4 Correct 1 ms 3928 KB Output is correct
5 Correct 2 ms 4188 KB Output is correct
6 Correct 3 ms 4444 KB Output is correct
7 Correct 2 ms 4444 KB Output is correct
8 Correct 2 ms 4440 KB Output is correct
9 Correct 2 ms 4444 KB Output is correct
10 Correct 170 ms 46516 KB Output is correct
11 Correct 206 ms 55204 KB Output is correct
12 Correct 205 ms 53952 KB Output is correct
13 Correct 219 ms 57540 KB Output is correct
14 Correct 111 ms 31176 KB Output is correct
15 Correct 198 ms 45912 KB Output is correct
16 Correct 363 ms 58320 KB Output is correct
17 Correct 382 ms 56692 KB Output is correct
18 Correct 399 ms 60340 KB Output is correct
19 Correct 228 ms 33324 KB Output is correct
20 Correct 203 ms 28264 KB Output is correct
21 Correct 204 ms 29296 KB Output is correct
22 Correct 210 ms 28892 KB Output is correct
23 Correct 205 ms 29388 KB Output is correct
24 Correct 210 ms 29096 KB Output is correct
25 Correct 209 ms 28280 KB Output is correct
26 Correct 213 ms 29260 KB Output is correct
27 Correct 205 ms 28016 KB Output is correct
28 Correct 2 ms 4444 KB Output is correct
29 Correct 2 ms 4440 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 2 ms 4444 KB Output is correct
37 Correct 19 ms 10008 KB Output is correct
38 Correct 237 ms 58820 KB Output is correct
39 Correct 216 ms 57796 KB Output is correct
40 Correct 218 ms 56140 KB Output is correct
41 Correct 203 ms 53116 KB Output is correct
42 Correct 217 ms 51812 KB Output is correct
43 Correct 218 ms 46316 KB Output is correct
44 Correct 261 ms 60796 KB Output is correct
45 Correct 275 ms 60520 KB Output is correct
46 Correct 117 ms 31576 KB Output is correct
47 Correct 229 ms 50764 KB Output is correct
48 Correct 31 ms 10232 KB Output is correct
49 Correct 392 ms 63816 KB Output is correct
50 Correct 392 ms 61768 KB Output is correct
51 Correct 384 ms 61480 KB Output is correct
52 Correct 410 ms 59044 KB Output is correct
53 Correct 386 ms 54004 KB Output is correct
54 Correct 313 ms 40032 KB Output is correct
55 Correct 412 ms 64584 KB Output is correct
56 Correct 411 ms 66092 KB Output is correct
57 Correct 267 ms 37692 KB Output is correct
58 Correct 379 ms 55080 KB Output is correct
59 Correct 125 ms 15124 KB Output is correct
60 Correct 369 ms 63816 KB Output is correct
61 Correct 364 ms 62084 KB Output is correct
62 Correct 411 ms 65836 KB Output is correct
63 Correct 233 ms 38764 KB Output is correct
64 Correct 2 ms 4188 KB Output is correct
65 Correct 3 ms 4440 KB Output is correct
66 Correct 2 ms 4444 KB Output is correct
67 Correct 2 ms 4188 KB Output is correct
68 Correct 2 ms 4444 KB Output is correct
69 Correct 2 ms 4448 KB Output is correct
70 Correct 2 ms 4444 KB Output is correct
71 Correct 2 ms 4444 KB Output is correct
72 Correct 2 ms 4444 KB Output is correct
73 Correct 2 ms 4444 KB Output is correct
74 Correct 155 ms 34084 KB Output is correct
75 Correct 261 ms 57624 KB Output is correct
76 Correct 231 ms 46148 KB Output is correct
77 Correct 164 ms 37064 KB Output is correct
78 Correct 64 ms 13816 KB Output is correct
79 Correct 44 ms 12744 KB Output is correct
80 Correct 110 ms 28872 KB Output is correct
81 Correct 308 ms 59216 KB Output is correct
82 Correct 218 ms 46264 KB Output is correct
83 Correct 319 ms 65764 KB Output is correct
84 Correct 120 ms 32032 KB Output is correct
85 Correct 187 ms 42620 KB Output is correct
86 Correct 84 ms 16700 KB Output is correct
87 Correct 385 ms 59712 KB Output is correct
88 Correct 383 ms 60596 KB Output is correct
89 Correct 294 ms 39976 KB Output is correct
90 Correct 180 ms 18900 KB Output is correct
91 Correct 185 ms 19648 KB Output is correct
92 Correct 270 ms 33872 KB Output is correct
93 Correct 459 ms 60740 KB Output is correct
94 Correct 392 ms 51396 KB Output is correct
95 Correct 490 ms 71256 KB Output is correct
96 Correct 304 ms 37424 KB Output is correct
97 Correct 346 ms 47012 KB Output is correct