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Submission #397571

# Submission time Handle Problem Language Result Execution time Memory
397571 2021-05-02T12:10:47 Z blue Swapping Cities (APIO20_swap) C++17
100 / 100
 553 ms 47076 KB 
#include "swap.h"
#include <vector>
#include <algorithm>
using namespace std;

/*
Use Kruskal's algorithm.
For every node, compute sorted (by wt) list of edges that doubled its component's size.
Also compute the minimum edge wt that made it's component 'good'.

A component is good if it is not a single path.
*/

vector<int> W1;

vector<int> merges[100000]; //edge
vector<int> newcol[100000]; //color after merging
vector<int> goodEdge(100000, 2e9); //weight of smallest edge that made node's component good

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W)
{
    W1 = W;

    int I[M];
    for(int i = 0; i < M; i++) I[i] = i;
    sort(I, I+M, [] (int x, int y)
    {
        return W1[x] < W1[y];
    });

    // for(int i: I) cerr << i << ' ';
    // cerr << '\n';

    vector<int> col(N);
    vector<int> col_list[N];
    vector<int> endpoints[N];

    for(int i = 0; i < N; i++)
    {
        col[i] = i;
        col_list[i].push_back(i);

        merges[i].push_back(0);
        newcol[i].push_back(i);

        for(int e = 0; e < 2; e++)
            endpoints[i].push_back(i);
    }

    for(int i = 0; i < M; i++)
    {
        int u = U[I[i]], v = V[I[i]], w = W[I[i]];
        // cerr << "cc:\n";
        // for(int j = 0; j < N; j++)
        // {
        //     for(int q: col_list[j]) cerr << q << ' ';
        //     cerr << '\n';
        // }
        // cerr << "wt = " << w << '\n';

        if(col[u] == col[v])
        {
            if(endpoints[ col[u] ].size() == 0) continue;
            for(int x: col_list[ col[u] ])
                goodEdge[x] = w;
            endpoints[ col[u] ].clear();
            continue;
        }

        if(col_list[col[u]].size() < col_list[col[v]].size())
            swap(u, v);


        bool flag = 1;
        if(goodEdge[u] == 2e9 && goodEdge[v] < 2e9)
        {
            endpoints[ col[u] ].clear();
            for(int x: col_list[col[u]])
                goodEdge[x] = w;
            flag = 0;
        }
        else if(goodEdge[u] < 2e9 && goodEdge[v] == 2e9)
        {
            endpoints[ col[v] ].clear();
            for(int x: col_list[col[v]])
                goodEdge[x] = w;
            flag = 0;
        }
        else if(goodEdge[u] < 2e9 && goodEdge[v] < 2e9)
            flag = 0;

        if(flag && (u == endpoints[col[u]][0] || u == endpoints[col[u]][1]) && (v == endpoints[col[v]][0] || v == endpoints[col[v]][1]))
        {
            if(u == endpoints[col[u]][1])
                swap(endpoints[col[u]][0], endpoints[col[u]][1]);

            if(v == endpoints[col[v]][1])
                swap(endpoints[col[v]][0], endpoints[col[v]][1]);

            endpoints[col[u]] = {endpoints[col[u]][1], endpoints[col[v]][1]};
        }
        else if(flag)
        {
            endpoints[ col[u] ].clear();
            for(int x: col_list[col[u]])
                goodEdge[x] = w;

            endpoints[ col[v] ].clear();
            for(int x: col_list[col[v]])
                goodEdge[x] = w;
        }

        int colV = col[v];
        for(int x: col_list[colV])
        {
            merges[x].push_back(w);
            newcol[x].push_back(col[u]);
            col_list[ col[u] ].push_back(x);
            col[x] = col[u];
        }
        col_list[colV].clear();
    }

    // for(int i = 0; i < N; i++)
    // {
    //     cerr << "i = " << i << '\n';
    //     cerr << goodEdge[i] << '\n';
    //     cerr << "merges: ";
    //     for(int m: merges[i]) cerr << m << ' ';
    //     cerr << '\n';
    //     cerr << "newcol; ";
    //     for(int n: newcol[i]) cerr << n << ' ';
    //     cerr << '\n';
    // }
}

int getMinimumFuelCapacity(int X, int Y)
{
    // for(int i = 1; i <= 100000; i++);
    if(goodEdge[X] == 2e9) return -1;

    // cerr << "\n";
    // cerr << goodEdge[X] << '\n';
    // for(int i = 0; i < merges[X].size(); i++)
    // {
    //     cerr << merges[X][i] << ' ' << newcol[X][i] << '\n';
    // }
    // cerr << '\n';
    // cerr << goodEdge[Y] << '\n';
    // for(int i = 0; i < merges[Y].size(); i++)
    // {
    //     cerr << merges[Y][i] << ' ' << newcol[Y][i] << '\n';
    // }
    // cerr << '\n';


    int res = 2e9;

    for(int i = 0; i < merges[X].size(); i++)
        for(int j = 0; j < merges[Y].size(); j++)
            if(newcol[X][i] == newcol[Y][j])
                res = min(res, max(merges[X][i], merges[Y][j]));

    res = max(res, goodEdge[X]);

    return res;
}

Compilation message

swap.cpp: In function 'int getMinimumFuelCapacity(int, int)':
swap.cpp:159:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  159 |     for(int i = 0; i < merges[X].size(); i++)
      |                    ~~^~~~~~~~~~~~~~~~~~
swap.cpp:160:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  160 |         for(int j = 0; j < merges[Y].size(); j++)
      |                        ~~^~~~~~~~~~~~~~~~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5324 KB Output is correct
2 Correct 3 ms 5324 KB Output is correct
3 Correct 3 ms 5392 KB Output is correct
4 Correct 4 ms 5452 KB Output is correct
5 Correct 5 ms 5580 KB Output is correct
6 Correct 4 ms 5580 KB Output is correct
7 Correct 5 ms 5656 KB Output is correct
8 Correct 4 ms 5580 KB Output is correct
9 Correct 218 ms 29348 KB Output is correct
10 Correct 355 ms 34368 KB Output is correct
11 Correct 297 ms 33760 KB Output is correct
12 Correct 337 ms 35604 KB Output is correct
13 Correct 165 ms 27276 KB Output is correct
14 Correct 241 ms 30852 KB Output is correct
15 Correct 373 ms 40380 KB Output is correct
16 Correct 359 ms 39344 KB Output is correct
17 Correct 391 ms 41668 KB Output is correct
18 Correct 225 ms 32960 KB Output is correct
19 Correct 95 ms 15252 KB Output is correct
20 Correct 441 ms 40772 KB Output is correct
21 Correct 434 ms 40084 KB Output is correct
22 Correct 481 ms 41972 KB Output is correct
23 Correct 277 ms 33512 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5324 KB Output is correct
2 Correct 3 ms 5324 KB Output is correct
3 Correct 232 ms 28152 KB Output is correct
4 Correct 236 ms 29300 KB Output is correct
5 Correct 235 ms 28640 KB Output is correct
6 Correct 231 ms 29008 KB Output is correct
7 Correct 241 ms 28968 KB Output is correct
8 Correct 231 ms 28036 KB Output is correct
9 Correct 241 ms 28588 KB Output is correct
10 Correct 227 ms 27780 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5324 KB Output is correct
2 Correct 3 ms 5324 KB Output is correct
3 Correct 3 ms 5392 KB Output is correct
4 Correct 4 ms 5452 KB Output is correct
5 Correct 5 ms 5580 KB Output is correct
6 Correct 4 ms 5580 KB Output is correct
7 Correct 5 ms 5656 KB Output is correct
8 Correct 4 ms 5580 KB Output is correct
9 Correct 4 ms 5324 KB Output is correct
10 Correct 5 ms 5580 KB Output is correct
11 Correct 6 ms 5580 KB Output is correct
12 Correct 5 ms 5524 KB Output is correct
13 Correct 5 ms 5580 KB Output is correct
14 Correct 4 ms 5580 KB Output is correct
15 Correct 4 ms 5648 KB Output is correct
16 Correct 5 ms 5580 KB Output is correct
17 Correct 4 ms 5516 KB Output is correct
18 Correct 5 ms 5580 KB Output is correct
19 Correct 4 ms 5452 KB Output is correct
20 Correct 5 ms 5580 KB Output is correct
21 Correct 4 ms 5528 KB Output is correct
22 Correct 4 ms 5452 KB Output is correct
23 Correct 4 ms 5452 KB Output is correct
24 Correct 5 ms 5660 KB Output is correct
25 Correct 5 ms 5580 KB Output is correct
26 Correct 6 ms 5708 KB Output is correct
27 Correct 4 ms 5580 KB Output is correct
28 Correct 5 ms 5580 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5324 KB Output is correct
2 Correct 3 ms 5324 KB Output is correct
3 Correct 3 ms 5324 KB Output is correct
4 Correct 3 ms 5392 KB Output is correct
5 Correct 4 ms 5452 KB Output is correct
6 Correct 5 ms 5580 KB Output is correct
7 Correct 4 ms 5580 KB Output is correct
8 Correct 5 ms 5656 KB Output is correct
9 Correct 4 ms 5580 KB Output is correct
10 Correct 218 ms 29348 KB Output is correct
11 Correct 355 ms 34368 KB Output is correct
12 Correct 297 ms 33760 KB Output is correct
13 Correct 337 ms 35604 KB Output is correct
14 Correct 165 ms 27276 KB Output is correct
15 Correct 5 ms 5580 KB Output is correct
16 Correct 6 ms 5580 KB Output is correct
17 Correct 5 ms 5524 KB Output is correct
18 Correct 5 ms 5580 KB Output is correct
19 Correct 4 ms 5580 KB Output is correct
20 Correct 4 ms 5648 KB Output is correct
21 Correct 5 ms 5580 KB Output is correct
22 Correct 4 ms 5516 KB Output is correct
23 Correct 5 ms 5580 KB Output is correct
24 Correct 4 ms 5452 KB Output is correct
25 Correct 5 ms 5580 KB Output is correct
26 Correct 4 ms 5528 KB Output is correct
27 Correct 4 ms 5452 KB Output is correct
28 Correct 4 ms 5452 KB Output is correct
29 Correct 5 ms 5660 KB Output is correct
30 Correct 5 ms 5580 KB Output is correct
31 Correct 6 ms 5708 KB Output is correct
32 Correct 4 ms 5580 KB Output is correct
33 Correct 5 ms 5580 KB Output is correct
34 Correct 24 ms 9232 KB Output is correct
35 Correct 326 ms 36868 KB Output is correct
36 Correct 355 ms 36540 KB Output is correct
37 Correct 374 ms 36108 KB Output is correct
38 Correct 331 ms 35124 KB Output is correct
39 Correct 303 ms 34616 KB Output is correct
40 Correct 258 ms 31592 KB Output is correct
41 Correct 348 ms 37696 KB Output is correct
42 Correct 351 ms 37312 KB Output is correct
43 Correct 171 ms 28840 KB Output is correct
44 Correct 354 ms 34748 KB Output is correct
45 Correct 192 ms 28460 KB Output is correct
46 Correct 348 ms 36560 KB Output is correct
47 Correct 274 ms 32956 KB Output is correct
48 Correct 215 ms 29632 KB Output is correct
49 Correct 74 ms 13280 KB Output is correct
50 Correct 79 ms 12784 KB Output is correct
51 Correct 150 ms 24388 KB Output is correct
52 Correct 354 ms 39300 KB Output is correct
53 Correct 288 ms 35264 KB Output is correct
54 Correct 395 ms 42644 KB Output is correct
55 Correct 169 ms 28736 KB Output is correct
56 Correct 248 ms 33856 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5324 KB Output is correct
2 Correct 3 ms 5324 KB Output is correct
3 Correct 3 ms 5392 KB Output is correct
4 Correct 4 ms 5452 KB Output is correct
5 Correct 5 ms 5580 KB Output is correct
6 Correct 4 ms 5580 KB Output is correct
7 Correct 5 ms 5656 KB Output is correct
8 Correct 4 ms 5580 KB Output is correct
9 Correct 218 ms 29348 KB Output is correct
10 Correct 355 ms 34368 KB Output is correct
11 Correct 297 ms 33760 KB Output is correct
12 Correct 337 ms 35604 KB Output is correct
13 Correct 165 ms 27276 KB Output is correct
14 Correct 241 ms 30852 KB Output is correct
15 Correct 373 ms 40380 KB Output is correct
16 Correct 359 ms 39344 KB Output is correct
17 Correct 391 ms 41668 KB Output is correct
18 Correct 225 ms 32960 KB Output is correct
19 Correct 232 ms 28152 KB Output is correct
20 Correct 236 ms 29300 KB Output is correct
21 Correct 235 ms 28640 KB Output is correct
22 Correct 231 ms 29008 KB Output is correct
23 Correct 241 ms 28968 KB Output is correct
24 Correct 231 ms 28036 KB Output is correct
25 Correct 241 ms 28588 KB Output is correct
26 Correct 227 ms 27780 KB Output is correct
27 Correct 5 ms 5580 KB Output is correct
28 Correct 6 ms 5580 KB Output is correct
29 Correct 5 ms 5524 KB Output is correct
30 Correct 5 ms 5580 KB Output is correct
31 Correct 4 ms 5580 KB Output is correct
32 Correct 4 ms 5648 KB Output is correct
33 Correct 5 ms 5580 KB Output is correct
34 Correct 4 ms 5516 KB Output is correct
35 Correct 5 ms 5580 KB Output is correct
36 Correct 24 ms 9232 KB Output is correct
37 Correct 326 ms 36868 KB Output is correct
38 Correct 355 ms 36540 KB Output is correct
39 Correct 374 ms 36108 KB Output is correct
40 Correct 331 ms 35124 KB Output is correct
41 Correct 303 ms 34616 KB Output is correct
42 Correct 258 ms 31592 KB Output is correct
43 Correct 348 ms 37696 KB Output is correct
44 Correct 351 ms 37312 KB Output is correct
45 Correct 171 ms 28840 KB Output is correct
46 Correct 354 ms 34748 KB Output is correct
47 Correct 29 ms 9476 KB Output is correct
48 Correct 462 ms 40912 KB Output is correct
49 Correct 460 ms 40556 KB Output is correct
50 Correct 442 ms 40208 KB Output is correct
51 Correct 445 ms 39560 KB Output is correct
52 Correct 414 ms 37384 KB Output is correct
53 Correct 291 ms 29864 KB Output is correct
54 Correct 458 ms 41812 KB Output is correct
55 Correct 478 ms 41564 KB Output is correct
56 Correct 272 ms 32648 KB Output is correct
57 Correct 408 ms 39128 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5324 KB Output is correct
2 Correct 3 ms 5324 KB Output is correct
3 Correct 3 ms 5324 KB Output is correct
4 Correct 3 ms 5392 KB Output is correct
5 Correct 4 ms 5452 KB Output is correct
6 Correct 5 ms 5580 KB Output is correct
7 Correct 4 ms 5580 KB Output is correct
8 Correct 5 ms 5656 KB Output is correct
9 Correct 4 ms 5580 KB Output is correct
10 Correct 218 ms 29348 KB Output is correct
11 Correct 355 ms 34368 KB Output is correct
12 Correct 297 ms 33760 KB Output is correct
13 Correct 337 ms 35604 KB Output is correct
14 Correct 165 ms 27276 KB Output is correct
15 Correct 241 ms 30852 KB Output is correct
16 Correct 373 ms 40380 KB Output is correct
17 Correct 359 ms 39344 KB Output is correct
18 Correct 391 ms 41668 KB Output is correct
19 Correct 225 ms 32960 KB Output is correct
20 Correct 232 ms 28152 KB Output is correct
21 Correct 236 ms 29300 KB Output is correct
22 Correct 235 ms 28640 KB Output is correct
23 Correct 231 ms 29008 KB Output is correct
24 Correct 241 ms 28968 KB Output is correct
25 Correct 231 ms 28036 KB Output is correct
26 Correct 241 ms 28588 KB Output is correct
27 Correct 227 ms 27780 KB Output is correct
28 Correct 5 ms 5580 KB Output is correct
29 Correct 6 ms 5580 KB Output is correct
30 Correct 5 ms 5524 KB Output is correct
31 Correct 5 ms 5580 KB Output is correct
32 Correct 4 ms 5580 KB Output is correct
33 Correct 4 ms 5648 KB Output is correct
34 Correct 5 ms 5580 KB Output is correct
35 Correct 4 ms 5516 KB Output is correct
36 Correct 5 ms 5580 KB Output is correct
37 Correct 24 ms 9232 KB Output is correct
38 Correct 326 ms 36868 KB Output is correct
39 Correct 355 ms 36540 KB Output is correct
40 Correct 374 ms 36108 KB Output is correct
41 Correct 331 ms 35124 KB Output is correct
42 Correct 303 ms 34616 KB Output is correct
43 Correct 258 ms 31592 KB Output is correct
44 Correct 348 ms 37696 KB Output is correct
45 Correct 351 ms 37312 KB Output is correct
46 Correct 171 ms 28840 KB Output is correct
47 Correct 354 ms 34748 KB Output is correct
48 Correct 29 ms 9476 KB Output is correct
49 Correct 462 ms 40912 KB Output is correct
50 Correct 460 ms 40556 KB Output is correct
51 Correct 442 ms 40208 KB Output is correct
52 Correct 445 ms 39560 KB Output is correct
53 Correct 414 ms 37384 KB Output is correct
54 Correct 291 ms 29864 KB Output is correct
55 Correct 458 ms 41812 KB Output is correct
56 Correct 478 ms 41564 KB Output is correct
57 Correct 272 ms 32648 KB Output is correct
58 Correct 408 ms 39128 KB Output is correct
59 Correct 95 ms 15252 KB Output is correct
60 Correct 441 ms 40772 KB Output is correct
61 Correct 434 ms 40084 KB Output is correct
62 Correct 481 ms 41972 KB Output is correct
63 Correct 277 ms 33512 KB Output is correct
64 Correct 4 ms 5452 KB Output is correct
65 Correct 5 ms 5580 KB Output is correct
66 Correct 4 ms 5528 KB Output is correct
67 Correct 4 ms 5452 KB Output is correct
68 Correct 4 ms 5452 KB Output is correct
69 Correct 5 ms 5660 KB Output is correct
70 Correct 5 ms 5580 KB Output is correct
71 Correct 6 ms 5708 KB Output is correct
72 Correct 4 ms 5580 KB Output is correct
73 Correct 5 ms 5580 KB Output is correct
74 Correct 192 ms 28460 KB Output is correct
75 Correct 348 ms 36560 KB Output is correct
76 Correct 274 ms 32956 KB Output is correct
77 Correct 215 ms 29632 KB Output is correct
78 Correct 74 ms 13280 KB Output is correct
79 Correct 79 ms 12784 KB Output is correct
80 Correct 150 ms 24388 KB Output is correct
81 Correct 354 ms 39300 KB Output is correct
82 Correct 288 ms 35264 KB Output is correct
83 Correct 395 ms 42644 KB Output is correct
84 Correct 169 ms 28736 KB Output is correct
85 Correct 248 ms 33856 KB Output is correct
86 Correct 81 ms 14960 KB Output is correct
87 Correct 469 ms 39916 KB Output is correct
88 Correct 455 ms 40060 KB Output is correct
89 Correct 315 ms 32280 KB Output is correct
90 Correct 151 ms 17764 KB Output is correct
91 Correct 154 ms 19432 KB Output is correct
92 Correct 284 ms 28928 KB Output is correct
93 Correct 461 ms 42320 KB Output is correct
94 Correct 405 ms 39504 KB Output is correct
95 Correct 553 ms 47076 KB Output is correct
96 Correct 271 ms 32684 KB Output is correct
97 Correct 354 ms 36588 KB Output is correct