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Submission #569866

# Submission time Handle Problem Language Result Execution time Memory
569866 2022-05-28T02:33:31 Z ryangohca Swapping Cities (APIO20_swap) C++17
100 / 100
 865 ms 41404 KB 
#include "swap.h"
 
#include <bits/stdc++.h>
using namespace std;
int p[100001], pweight[100001][20], st[100001], en[100001], lineWeight[100001], twok[100001][20];
vector<int> linNodes[100001];
void init(int N){
    iota(p, p+N, 0);
    iota(st, st+N, 0);
    iota(en, en+N, 0);
    fill(lineWeight, lineWeight+N, 2e9);
    for (int i = 0; i < N; i++) linNodes[i].push_back(i);
    memset(twok, -1, sizeof twok);
    memset(pweight, -1, sizeof pweight);
}
int fs(int x){
    if (p[x] == x) return x;
    return p[x] = fs(p[x]);
}
void ms(int x, int y, int w){
    int px = fs(x), py = fs(y);
    if (px == py && lineWeight[px] == 2e9){
        st[px] = en[px] = -1;
        for (auto i : linNodes[px]){
            lineWeight[i] = min(lineWeight[i], w);
        }
        return;
    }
    if (linNodes[px].size() < linNodes[py].size()) {swap(x, y); swap(px, py);}
    p[py] = px; // px -> py
    //cout << px << ' ' << py << ' ' << w << endl;
    twok[py][0] = px;
    pweight[py][0] = w;
    if (st[px] != -1 && st[py] != -1){
        if ((st[px] == x || en[px] == x) && (st[py] == y || en[py] == y)){
            st[px] = (st[px] == x ? en[px] : st[px]);
            en[px] = (st[py] == y ? en[py] : st[py]);
            for (auto i : linNodes[py]){
                linNodes[px].push_back(i);
            }
        } else {
            st[px] = en[px] = -1;
            for (auto i : linNodes[px]){
                lineWeight[i] = min(lineWeight[i], w);
            }
            for (auto i : linNodes[py]){
                lineWeight[i] = min(lineWeight[i], w);
            }
        }
    } else if (st[px] != -1){
        st[px] = en[px] = -1;
      	for (auto i : linNodes[px]){
      	    lineWeight[i] = w;
      	}
    } else if (st[py] != -1){
        st[py] = en[py] = -1;
        for (auto i : linNodes[py]){
            lineWeight[i] = w;
        }
    } else {
        //lineWeight[px] = min(lineWeight[px], lineWeight[py]);
    }
}
void init(int N, int M,
          std::vector<int> U, std::vector<int> V, std::vector<int> W) {
    init(N);
    vector<tuple<int, int, int>> edges;
    for (int i = 0; i < M; i++){
        edges.push_back({W[i], U[i], V[i]});
    }
    sort(edges.begin(), edges.end());
    for (auto [w, a, b] : edges){
        ms(a, b, w);
    }
    for (int i = 1; i <= 19; i++){
        for (int j = 0; j < N; j++){
            if (twok[j][i-1] != -1){
                twok[j][i] = twok[twok[j][i-1]][i-1];
                pweight[j][i] = max(pweight[j][i-1], pweight[twok[j][i-1]][i-1]);
            }
        }
    }
}
bool isOkay(int mid, int X, int Y){
    for (int i = 19; i >= 0; i--){
        if (twok[X][i] != -1 && pweight[X][i] <= mid) X = twok[X][i];
        if (twok[Y][i] != -1 && pweight[Y][i] <= mid) Y = twok[Y][i];
    }
    if (X != Y) return false;
    return lineWeight[X] != -1 && lineWeight[X] <= mid;
}
int getMinimumFuelCapacity(int X, int Y) {
    int mini = 0, maxi = 1e9+10;
    while (maxi - mini > 1){
        int mid = (maxi + mini) / 2;
        if (isOkay(mid, X, Y)) maxi = mid;
        else mini = mid;
    }
    return (maxi==1e9+10?-1:maxi);
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 18260 KB Output is correct
2 Correct 9 ms 18260 KB Output is correct
3 Correct 11 ms 18260 KB Output is correct
4 Correct 12 ms 18244 KB Output is correct
5 Correct 9 ms 18388 KB Output is correct
6 Correct 12 ms 18388 KB Output is correct
7 Correct 9 ms 18388 KB Output is correct
8 Correct 9 ms 18388 KB Output is correct
9 Correct 75 ms 28100 KB Output is correct
10 Correct 87 ms 29744 KB Output is correct
11 Correct 85 ms 29628 KB Output is correct
12 Correct 109 ms 30312 KB Output is correct
13 Correct 82 ms 27716 KB Output is correct
14 Correct 121 ms 28036 KB Output is correct
15 Correct 560 ms 31808 KB Output is correct
16 Correct 530 ms 31260 KB Output is correct
17 Correct 553 ms 32104 KB Output is correct
18 Correct 459 ms 29180 KB Output is correct
19 Correct 368 ms 23332 KB Output is correct
20 Correct 522 ms 31940 KB Output is correct
21 Correct 535 ms 31732 KB Output is correct
22 Correct 577 ms 32504 KB Output is correct
23 Correct 461 ms 29524 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 18260 KB Output is correct
2 Correct 9 ms 18260 KB Output is correct
3 Correct 472 ms 28032 KB Output is correct
4 Correct 489 ms 28396 KB Output is correct
5 Correct 533 ms 28388 KB Output is correct
6 Correct 482 ms 28412 KB Output is correct
7 Correct 493 ms 28356 KB Output is correct
8 Correct 497 ms 28064 KB Output is correct
9 Correct 459 ms 28232 KB Output is correct
10 Correct 480 ms 27924 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 18260 KB Output is correct
2 Correct 9 ms 18260 KB Output is correct
3 Correct 11 ms 18260 KB Output is correct
4 Correct 12 ms 18244 KB Output is correct
5 Correct 9 ms 18388 KB Output is correct
6 Correct 12 ms 18388 KB Output is correct
7 Correct 9 ms 18388 KB Output is correct
8 Correct 9 ms 18388 KB Output is correct
9 Correct 9 ms 18260 KB Output is correct
10 Correct 11 ms 18404 KB Output is correct
11 Correct 9 ms 18388 KB Output is correct
12 Correct 10 ms 18388 KB Output is correct
13 Correct 9 ms 18348 KB Output is correct
14 Correct 10 ms 18396 KB Output is correct
15 Correct 10 ms 18388 KB Output is correct
16 Correct 9 ms 18388 KB Output is correct
17 Correct 11 ms 18388 KB Output is correct
18 Correct 9 ms 18388 KB Output is correct
19 Correct 9 ms 18388 KB Output is correct
20 Correct 10 ms 18348 KB Output is correct
21 Correct 9 ms 18388 KB Output is correct
22 Correct 10 ms 18412 KB Output is correct
23 Correct 9 ms 18388 KB Output is correct
24 Correct 10 ms 18388 KB Output is correct
25 Correct 10 ms 18420 KB Output is correct
26 Correct 10 ms 18388 KB Output is correct
27 Correct 10 ms 18424 KB Output is correct
28 Correct 10 ms 18388 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 18260 KB Output is correct
2 Correct 9 ms 18260 KB Output is correct
3 Correct 9 ms 18260 KB Output is correct
4 Correct 11 ms 18260 KB Output is correct
5 Correct 12 ms 18244 KB Output is correct
6 Correct 9 ms 18388 KB Output is correct
7 Correct 12 ms 18388 KB Output is correct
8 Correct 9 ms 18388 KB Output is correct
9 Correct 9 ms 18388 KB Output is correct
10 Correct 75 ms 28100 KB Output is correct
11 Correct 87 ms 29744 KB Output is correct
12 Correct 85 ms 29628 KB Output is correct
13 Correct 109 ms 30312 KB Output is correct
14 Correct 82 ms 27716 KB Output is correct
15 Correct 11 ms 18404 KB Output is correct
16 Correct 9 ms 18388 KB Output is correct
17 Correct 10 ms 18388 KB Output is correct
18 Correct 9 ms 18348 KB Output is correct
19 Correct 10 ms 18396 KB Output is correct
20 Correct 10 ms 18388 KB Output is correct
21 Correct 9 ms 18388 KB Output is correct
22 Correct 11 ms 18388 KB Output is correct
23 Correct 9 ms 18388 KB Output is correct
24 Correct 9 ms 18388 KB Output is correct
25 Correct 10 ms 18348 KB Output is correct
26 Correct 9 ms 18388 KB Output is correct
27 Correct 10 ms 18412 KB Output is correct
28 Correct 9 ms 18388 KB Output is correct
29 Correct 10 ms 18388 KB Output is correct
30 Correct 10 ms 18420 KB Output is correct
31 Correct 10 ms 18388 KB Output is correct
32 Correct 10 ms 18424 KB Output is correct
33 Correct 10 ms 18388 KB Output is correct
34 Correct 18 ms 19540 KB Output is correct
35 Correct 97 ms 29412 KB Output is correct
36 Correct 97 ms 28920 KB Output is correct
37 Correct 102 ms 28188 KB Output is correct
38 Correct 94 ms 27492 KB Output is correct
39 Correct 87 ms 26848 KB Output is correct
40 Correct 82 ms 26224 KB Output is correct
41 Correct 104 ms 30072 KB Output is correct
42 Correct 103 ms 32136 KB Output is correct
43 Correct 85 ms 28768 KB Output is correct
44 Correct 99 ms 29128 KB Output is correct
45 Correct 116 ms 31760 KB Output is correct
46 Correct 118 ms 30808 KB Output is correct
47 Correct 115 ms 29392 KB Output is correct
48 Correct 112 ms 29144 KB Output is correct
49 Correct 67 ms 28032 KB Output is correct
50 Correct 58 ms 25420 KB Output is correct
51 Correct 88 ms 28636 KB Output is correct
52 Correct 137 ms 34792 KB Output is correct
53 Correct 151 ms 34164 KB Output is correct
54 Correct 163 ms 37352 KB Output is correct
55 Correct 94 ms 28724 KB Output is correct
56 Correct 132 ms 33824 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 18260 KB Output is correct
2 Correct 9 ms 18260 KB Output is correct
3 Correct 11 ms 18260 KB Output is correct
4 Correct 12 ms 18244 KB Output is correct
5 Correct 9 ms 18388 KB Output is correct
6 Correct 12 ms 18388 KB Output is correct
7 Correct 9 ms 18388 KB Output is correct
8 Correct 9 ms 18388 KB Output is correct
9 Correct 75 ms 28100 KB Output is correct
10 Correct 87 ms 29744 KB Output is correct
11 Correct 85 ms 29628 KB Output is correct
12 Correct 109 ms 30312 KB Output is correct
13 Correct 82 ms 27716 KB Output is correct
14 Correct 121 ms 28036 KB Output is correct
15 Correct 560 ms 31808 KB Output is correct
16 Correct 530 ms 31260 KB Output is correct
17 Correct 553 ms 32104 KB Output is correct
18 Correct 459 ms 29180 KB Output is correct
19 Correct 472 ms 28032 KB Output is correct
20 Correct 489 ms 28396 KB Output is correct
21 Correct 533 ms 28388 KB Output is correct
22 Correct 482 ms 28412 KB Output is correct
23 Correct 493 ms 28356 KB Output is correct
24 Correct 497 ms 28064 KB Output is correct
25 Correct 459 ms 28232 KB Output is correct
26 Correct 480 ms 27924 KB Output is correct
27 Correct 11 ms 18404 KB Output is correct
28 Correct 9 ms 18388 KB Output is correct
29 Correct 10 ms 18388 KB Output is correct
30 Correct 9 ms 18348 KB Output is correct
31 Correct 10 ms 18396 KB Output is correct
32 Correct 10 ms 18388 KB Output is correct
33 Correct 9 ms 18388 KB Output is correct
34 Correct 11 ms 18388 KB Output is correct
35 Correct 9 ms 18388 KB Output is correct
36 Correct 18 ms 19540 KB Output is correct
37 Correct 97 ms 29412 KB Output is correct
38 Correct 97 ms 28920 KB Output is correct
39 Correct 102 ms 28188 KB Output is correct
40 Correct 94 ms 27492 KB Output is correct
41 Correct 87 ms 26848 KB Output is correct
42 Correct 82 ms 26224 KB Output is correct
43 Correct 104 ms 30072 KB Output is correct
44 Correct 103 ms 32136 KB Output is correct
45 Correct 85 ms 28768 KB Output is correct
46 Correct 99 ms 29128 KB Output is correct
47 Correct 58 ms 20076 KB Output is correct
48 Correct 523 ms 35396 KB Output is correct
49 Correct 533 ms 34592 KB Output is correct
50 Correct 525 ms 33888 KB Output is correct
51 Correct 527 ms 33220 KB Output is correct
52 Correct 501 ms 32192 KB Output is correct
53 Correct 516 ms 30388 KB Output is correct
54 Correct 543 ms 36372 KB Output is correct
55 Correct 528 ms 35948 KB Output is correct
56 Correct 471 ms 32640 KB Output is correct
57 Correct 518 ms 33028 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 18260 KB Output is correct
2 Correct 9 ms 18260 KB Output is correct
3 Correct 9 ms 18260 KB Output is correct
4 Correct 11 ms 18260 KB Output is correct
5 Correct 12 ms 18244 KB Output is correct
6 Correct 9 ms 18388 KB Output is correct
7 Correct 12 ms 18388 KB Output is correct
8 Correct 9 ms 18388 KB Output is correct
9 Correct 9 ms 18388 KB Output is correct
10 Correct 75 ms 28100 KB Output is correct
11 Correct 87 ms 29744 KB Output is correct
12 Correct 85 ms 29628 KB Output is correct
13 Correct 109 ms 30312 KB Output is correct
14 Correct 82 ms 27716 KB Output is correct
15 Correct 121 ms 28036 KB Output is correct
16 Correct 560 ms 31808 KB Output is correct
17 Correct 530 ms 31260 KB Output is correct
18 Correct 553 ms 32104 KB Output is correct
19 Correct 459 ms 29180 KB Output is correct
20 Correct 472 ms 28032 KB Output is correct
21 Correct 489 ms 28396 KB Output is correct
22 Correct 533 ms 28388 KB Output is correct
23 Correct 482 ms 28412 KB Output is correct
24 Correct 493 ms 28356 KB Output is correct
25 Correct 497 ms 28064 KB Output is correct
26 Correct 459 ms 28232 KB Output is correct
27 Correct 480 ms 27924 KB Output is correct
28 Correct 11 ms 18404 KB Output is correct
29 Correct 9 ms 18388 KB Output is correct
30 Correct 10 ms 18388 KB Output is correct
31 Correct 9 ms 18348 KB Output is correct
32 Correct 10 ms 18396 KB Output is correct
33 Correct 10 ms 18388 KB Output is correct
34 Correct 9 ms 18388 KB Output is correct
35 Correct 11 ms 18388 KB Output is correct
36 Correct 9 ms 18388 KB Output is correct
37 Correct 18 ms 19540 KB Output is correct
38 Correct 97 ms 29412 KB Output is correct
39 Correct 97 ms 28920 KB Output is correct
40 Correct 102 ms 28188 KB Output is correct
41 Correct 94 ms 27492 KB Output is correct
42 Correct 87 ms 26848 KB Output is correct
43 Correct 82 ms 26224 KB Output is correct
44 Correct 104 ms 30072 KB Output is correct
45 Correct 103 ms 32136 KB Output is correct
46 Correct 85 ms 28768 KB Output is correct
47 Correct 99 ms 29128 KB Output is correct
48 Correct 58 ms 20076 KB Output is correct
49 Correct 523 ms 35396 KB Output is correct
50 Correct 533 ms 34592 KB Output is correct
51 Correct 525 ms 33888 KB Output is correct
52 Correct 527 ms 33220 KB Output is correct
53 Correct 501 ms 32192 KB Output is correct
54 Correct 516 ms 30388 KB Output is correct
55 Correct 543 ms 36372 KB Output is correct
56 Correct 528 ms 35948 KB Output is correct
57 Correct 471 ms 32640 KB Output is correct
58 Correct 518 ms 33028 KB Output is correct
59 Correct 368 ms 23332 KB Output is correct
60 Correct 522 ms 31940 KB Output is correct
61 Correct 535 ms 31732 KB Output is correct
62 Correct 577 ms 32504 KB Output is correct
63 Correct 461 ms 29524 KB Output is correct
64 Correct 9 ms 18388 KB Output is correct
65 Correct 10 ms 18348 KB Output is correct
66 Correct 9 ms 18388 KB Output is correct
67 Correct 10 ms 18412 KB Output is correct
68 Correct 9 ms 18388 KB Output is correct
69 Correct 10 ms 18388 KB Output is correct
70 Correct 10 ms 18420 KB Output is correct
71 Correct 10 ms 18388 KB Output is correct
72 Correct 10 ms 18424 KB Output is correct
73 Correct 10 ms 18388 KB Output is correct
74 Correct 116 ms 31760 KB Output is correct
75 Correct 118 ms 30808 KB Output is correct
76 Correct 115 ms 29392 KB Output is correct
77 Correct 112 ms 29144 KB Output is correct
78 Correct 67 ms 28032 KB Output is correct
79 Correct 58 ms 25420 KB Output is correct
80 Correct 88 ms 28636 KB Output is correct
81 Correct 137 ms 34792 KB Output is correct
82 Correct 151 ms 34164 KB Output is correct
83 Correct 163 ms 37352 KB Output is correct
84 Correct 94 ms 28724 KB Output is correct
85 Correct 132 ms 33824 KB Output is correct
86 Correct 219 ms 23824 KB Output is correct
87 Correct 812 ms 34260 KB Output is correct
88 Correct 845 ms 34164 KB Output is correct
89 Correct 840 ms 32492 KB Output is correct
90 Correct 752 ms 31724 KB Output is correct
91 Correct 742 ms 31900 KB Output is correct
92 Correct 802 ms 32264 KB Output is correct
93 Correct 857 ms 38004 KB Output is correct
94 Correct 846 ms 37892 KB Output is correct
95 Correct 865 ms 41404 KB Output is correct
96 Correct 789 ms 32648 KB Output is correct
97 Correct 825 ms 36164 KB Output is correct