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Submission #319621

# Submission time Handle Problem Language Result Execution time Memory
319621 2020-11-05T21:35:38 Z VEGAnn Swapping Cities (APIO20_swap) C++14
100 / 100
 410 ms 49400 KB 
#include "swap.h"
#include <bits/stdc++.h>
#define PB push_back
using namespace std;
const int N = 300100;
const int M = 200100;
const int PW = 20;
vector<int> g[N];
int n, m, U[M], V[M], W[M], pre[N], lst, indx[N], deg[N], cost[N];
int ht[N], up[N][PW], tin[N], tout[N], tt = 0, id[N];
bool mrk[N], good[N];

bool cmp(int _x, int _y){
    return (W[_x] < W[_y]);
}

int get(int x) { return (pre[x] == x ? x : pre[x] = get(pre[x])); }

void dfs(int v){
    tin[v] = tt++;

    for (int po = 1; po < PW; po++)
        up[v][po] = up[up[v][po - 1]][po - 1];

    for (int u : g[v]){
        ht[u] = ht[v] + 1;
        up[u][0] = v;

        dfs(u);
    }

    tout[v] = tt++;
}

void init(int NN, int MM, std::vector<int> UU, std::vector<int> VV, std::vector<int> WW) {
    n = NN; m = MM;

    for (int i = 0; i < m; i++) {
        U[i] = UU[i];
        V[i] = VV[i];
        W[i] = WW[i];
        id[i] = i;
    }

    for (int i = 0; i < n; i++) {
        pre[i] = i;
        indx[i] = i;
        good[i] = 0;
        deg[i] = 0;
    }

    sort(id, id + m, cmp);

    lst = n;

    for (int it = 0; it < m; it++){
        int i = id[it];

        int x = get(U[i]);
        int y = get(V[i]);

        if (x == y){
            if (!good[indx[x]]){
                g[lst].PB(indx[x]);
                good[lst] = 1;
                indx[x] = lst;
                cost[lst] = W[i];

                lst++;
            }
        } else {
            deg[U[i]]++;
            deg[V[i]]++;

            bool kok = (good[indx[x]] || good[indx[y]] || (deg[U[i]] > 2) || (deg[V[i]] > 2));

            g[lst].PB(indx[x]);
            g[lst].PB(indx[y]);
            cost[lst] = W[i];
            good[lst] = kok;
            indx[x] = lst;
            pre[y] = x;

            lst++;
        }
    }

    up[lst - 1][0] = lst - 1;
    dfs(lst - 1);
}

bool upper(int a, int b){
    return (tin[a] <= tin[b] && tout[b] <= tout[a]);
}

int lca(int a, int b){
    if (upper(a, b)) return a;
    if (upper(b, a)) return b;

    for (int po = PW - 1; po >= 0; po--)
        if (!upper(up[a][po], b))
            a = up[a][po];

    return up[a][0];
}

int getMinimumFuelCapacity(int X, int Y) {
    if (!good[lst - 1]) return -1;

    int lc = lca(X, Y);

    if (good[lc])
        return cost[lc];
    else {
        for (int po = PW - 1; po >= 0; po--){
            if (ht[lc] < (1 << po)) continue;

            if (!good[up[lc][po]])
                lc = up[lc][po];
        }

        return cost[up[lc][0]];
    }
}

Subtask #1
6.0 / 6.0

# 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 5 ms 7404 KB Output is correct
4 Correct 5 ms 7532 KB Output is correct
5 Correct 6 ms 7788 KB Output is correct
6 Correct 6 ms 7804 KB Output is correct
7 Correct 6 ms 7660 KB Output is correct
8 Correct 6 ms 7788 KB Output is correct
9 Correct 121 ms 30308 KB Output is correct
10 Correct 147 ms 35172 KB Output is correct
11 Correct 156 ms 34920 KB Output is correct
12 Correct 158 ms 36324 KB Output is correct
13 Correct 144 ms 39648 KB Output is correct
14 Correct 131 ms 30612 KB Output is correct
15 Correct 217 ms 39684 KB Output is correct
16 Correct 210 ms 38804 KB Output is correct
17 Correct 222 ms 40396 KB Output is correct
18 Correct 210 ms 43740 KB Output is correct
19 Correct 113 ms 17164 KB Output is correct
20 Correct 269 ms 40932 KB Output is correct
21 Correct 281 ms 39964 KB Output is correct
22 Correct 290 ms 42056 KB Output is correct
23 Correct 410 ms 45004 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 5 ms 7404 KB Output is correct
3 Correct 315 ms 45704 KB Output is correct
4 Correct 322 ms 47180 KB Output is correct
5 Correct 330 ms 46460 KB Output is correct
6 Correct 317 ms 46924 KB Output is correct
7 Correct 337 ms 46848 KB Output is correct
8 Correct 324 ms 45332 KB Output is correct
9 Correct 330 ms 46428 KB Output is correct
10 Correct 320 ms 45128 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 5 ms 7404 KB Output is correct
4 Correct 5 ms 7404 KB Output is correct
5 Correct 5 ms 7532 KB Output is correct
6 Correct 6 ms 7788 KB Output is correct
7 Correct 6 ms 7804 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 7660 KB Output is correct
12 Correct 6 ms 7660 KB Output is correct
13 Correct 6 ms 7660 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 7660 KB Output is correct
17 Correct 6 ms 7788 KB Output is correct
18 Correct 7 ms 7660 KB Output is correct
19 Correct 7 ms 7660 KB Output is correct
20 Correct 6 ms 7808 KB Output is correct
21 Correct 6 ms 7660 KB Output is correct
22 Correct 6 ms 7532 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 7788 KB Output is correct
26 Correct 6 ms 7788 KB Output is correct
27 Correct 6 ms 7788 KB Output is correct
28 Correct 6 ms 7788 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 5 ms 7404 KB Output is correct
4 Correct 5 ms 7404 KB Output is correct
5 Correct 5 ms 7532 KB Output is correct
6 Correct 6 ms 7788 KB Output is correct
7 Correct 6 ms 7804 KB Output is correct
8 Correct 6 ms 7660 KB Output is correct
9 Correct 6 ms 7788 KB Output is correct
10 Correct 121 ms 30308 KB Output is correct
11 Correct 147 ms 35172 KB Output is correct
12 Correct 156 ms 34920 KB Output is correct
13 Correct 158 ms 36324 KB Output is correct
14 Correct 144 ms 39648 KB Output is correct
15 Correct 6 ms 7660 KB Output is correct
16 Correct 6 ms 7660 KB Output is correct
17 Correct 6 ms 7660 KB Output is correct
18 Correct 6 ms 7660 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 7660 KB Output is correct
22 Correct 6 ms 7788 KB Output is correct
23 Correct 7 ms 7660 KB Output is correct
24 Correct 20 ms 11372 KB Output is correct
25 Correct 168 ms 36068 KB Output is correct
26 Correct 151 ms 36196 KB Output is correct
27 Correct 151 ms 36200 KB Output is correct
28 Correct 149 ms 35956 KB Output is correct
29 Correct 153 ms 35684 KB Output is correct
30 Correct 138 ms 33356 KB Output is correct
31 Correct 158 ms 36324 KB Output is correct
32 Correct 150 ms 36196 KB Output is correct
33 Correct 138 ms 40268 KB Output is correct
34 Correct 161 ms 36452 KB Output is correct
35 Correct 7 ms 7660 KB Output is correct
36 Correct 6 ms 7808 KB Output is correct
37 Correct 6 ms 7660 KB Output is correct
38 Correct 6 ms 7532 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 7788 KB Output is correct
42 Correct 6 ms 7788 KB Output is correct
43 Correct 6 ms 7788 KB Output is correct
44 Correct 6 ms 7788 KB Output is correct
45 Correct 166 ms 35972 KB Output is correct
46 Correct 149 ms 36068 KB Output is correct
47 Correct 152 ms 36072 KB Output is correct
48 Correct 157 ms 37744 KB Output is correct
49 Correct 86 ms 16612 KB Output is correct
50 Correct 75 ms 16484 KB Output is correct
51 Correct 136 ms 31204 KB Output is correct
52 Correct 193 ms 40036 KB Output is correct
53 Correct 231 ms 46052 KB Output is correct
54 Correct 212 ms 42212 KB Output is correct
55 Correct 142 ms 40032 KB Output is correct
56 Correct 204 ms 42596 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 5 ms 7404 KB Output is correct
3 Correct 5 ms 7404 KB Output is correct
4 Correct 5 ms 7532 KB Output is correct
5 Correct 6 ms 7788 KB Output is correct
6 Correct 6 ms 7804 KB Output is correct
7 Correct 6 ms 7660 KB Output is correct
8 Correct 6 ms 7788 KB Output is correct
9 Correct 121 ms 30308 KB Output is correct
10 Correct 147 ms 35172 KB Output is correct
11 Correct 156 ms 34920 KB Output is correct
12 Correct 158 ms 36324 KB Output is correct
13 Correct 144 ms 39648 KB Output is correct
14 Correct 131 ms 30612 KB Output is correct
15 Correct 217 ms 39684 KB Output is correct
16 Correct 210 ms 38804 KB Output is correct
17 Correct 222 ms 40396 KB Output is correct
18 Correct 210 ms 43740 KB Output is correct
19 Correct 315 ms 45704 KB Output is correct
20 Correct 322 ms 47180 KB Output is correct
21 Correct 330 ms 46460 KB Output is correct
22 Correct 317 ms 46924 KB Output is correct
23 Correct 337 ms 46848 KB Output is correct
24 Correct 324 ms 45332 KB Output is correct
25 Correct 330 ms 46428 KB Output is correct
26 Correct 320 ms 45128 KB Output is correct
27 Correct 6 ms 7660 KB Output is correct
28 Correct 6 ms 7660 KB Output is correct
29 Correct 6 ms 7660 KB Output is correct
30 Correct 6 ms 7660 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 7660 KB Output is correct
34 Correct 6 ms 7788 KB Output is correct
35 Correct 7 ms 7660 KB Output is correct
36 Correct 20 ms 11372 KB Output is correct
37 Correct 168 ms 36068 KB Output is correct
38 Correct 151 ms 36196 KB Output is correct
39 Correct 151 ms 36200 KB Output is correct
40 Correct 149 ms 35956 KB Output is correct
41 Correct 153 ms 35684 KB Output is correct
42 Correct 138 ms 33356 KB Output is correct
43 Correct 158 ms 36324 KB Output is correct
44 Correct 150 ms 36196 KB Output is correct
45 Correct 138 ms 40268 KB Output is correct
46 Correct 161 ms 36452 KB Output is correct
47 Correct 29 ms 11500 KB Output is correct
48 Correct 271 ms 41204 KB Output is correct
49 Correct 270 ms 41160 KB Output is correct
50 Correct 269 ms 40904 KB Output is correct
51 Correct 276 ms 40940 KB Output is correct
52 Correct 264 ms 39312 KB Output is correct
53 Correct 224 ms 32468 KB Output is correct
54 Correct 274 ms 41800 KB Output is correct
55 Correct 274 ms 41036 KB Output is correct
56 Correct 337 ms 44232 KB Output is correct
57 Correct 290 ms 41936 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 5 ms 7404 KB Output is correct
4 Correct 5 ms 7404 KB Output is correct
5 Correct 5 ms 7532 KB Output is correct
6 Correct 6 ms 7788 KB Output is correct
7 Correct 6 ms 7804 KB Output is correct
8 Correct 6 ms 7660 KB Output is correct
9 Correct 6 ms 7788 KB Output is correct
10 Correct 121 ms 30308 KB Output is correct
11 Correct 147 ms 35172 KB Output is correct
12 Correct 156 ms 34920 KB Output is correct
13 Correct 158 ms 36324 KB Output is correct
14 Correct 144 ms 39648 KB Output is correct
15 Correct 131 ms 30612 KB Output is correct
16 Correct 217 ms 39684 KB Output is correct
17 Correct 210 ms 38804 KB Output is correct
18 Correct 222 ms 40396 KB Output is correct
19 Correct 210 ms 43740 KB Output is correct
20 Correct 315 ms 45704 KB Output is correct
21 Correct 322 ms 47180 KB Output is correct
22 Correct 330 ms 46460 KB Output is correct
23 Correct 317 ms 46924 KB Output is correct
24 Correct 337 ms 46848 KB Output is correct
25 Correct 324 ms 45332 KB Output is correct
26 Correct 330 ms 46428 KB Output is correct
27 Correct 320 ms 45128 KB Output is correct
28 Correct 6 ms 7660 KB Output is correct
29 Correct 6 ms 7660 KB Output is correct
30 Correct 6 ms 7660 KB Output is correct
31 Correct 6 ms 7660 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 7660 KB Output is correct
35 Correct 6 ms 7788 KB Output is correct
36 Correct 7 ms 7660 KB Output is correct
37 Correct 20 ms 11372 KB Output is correct
38 Correct 168 ms 36068 KB Output is correct
39 Correct 151 ms 36196 KB Output is correct
40 Correct 151 ms 36200 KB Output is correct
41 Correct 149 ms 35956 KB Output is correct
42 Correct 153 ms 35684 KB Output is correct
43 Correct 138 ms 33356 KB Output is correct
44 Correct 158 ms 36324 KB Output is correct
45 Correct 150 ms 36196 KB Output is correct
46 Correct 138 ms 40268 KB Output is correct
47 Correct 161 ms 36452 KB Output is correct
48 Correct 29 ms 11500 KB Output is correct
49 Correct 271 ms 41204 KB Output is correct
50 Correct 270 ms 41160 KB Output is correct
51 Correct 269 ms 40904 KB Output is correct
52 Correct 276 ms 40940 KB Output is correct
53 Correct 264 ms 39312 KB Output is correct
54 Correct 224 ms 32468 KB Output is correct
55 Correct 274 ms 41800 KB Output is correct
56 Correct 274 ms 41036 KB Output is correct
57 Correct 337 ms 44232 KB Output is correct
58 Correct 290 ms 41936 KB Output is correct
59 Correct 113 ms 17164 KB Output is correct
60 Correct 269 ms 40932 KB Output is correct
61 Correct 281 ms 39964 KB Output is correct
62 Correct 290 ms 42056 KB Output is correct
63 Correct 410 ms 45004 KB Output is correct
64 Correct 7 ms 7660 KB Output is correct
65 Correct 6 ms 7808 KB Output is correct
66 Correct 6 ms 7660 KB Output is correct
67 Correct 6 ms 7532 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 7788 KB Output is correct
71 Correct 6 ms 7788 KB Output is correct
72 Correct 6 ms 7788 KB Output is correct
73 Correct 6 ms 7788 KB Output is correct
74 Correct 166 ms 35972 KB Output is correct
75 Correct 149 ms 36068 KB Output is correct
76 Correct 152 ms 36072 KB Output is correct
77 Correct 157 ms 37744 KB Output is correct
78 Correct 86 ms 16612 KB Output is correct
79 Correct 75 ms 16484 KB Output is correct
80 Correct 136 ms 31204 KB Output is correct
81 Correct 193 ms 40036 KB Output is correct
82 Correct 231 ms 46052 KB Output is correct
83 Correct 212 ms 42212 KB Output is correct
84 Correct 142 ms 40032 KB Output is correct
85 Correct 204 ms 42596 KB Output is correct
86 Correct 91 ms 19220 KB Output is correct
87 Correct 280 ms 41032 KB Output is correct
88 Correct 270 ms 40904 KB Output is correct
89 Correct 336 ms 40836 KB Output is correct
90 Correct 193 ms 21436 KB Output is correct
91 Correct 204 ms 23432 KB Output is correct
92 Correct 301 ms 35908 KB Output is correct
93 Correct 321 ms 44828 KB Output is correct
94 Correct 403 ms 49400 KB Output is correct
95 Correct 337 ms 45924 KB Output is correct
96 Correct 341 ms 44744 KB Output is correct
97 Correct 370 ms 45220 KB Output is correct