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Submission #1099754

# Submission time Handle Problem Language Result Execution time Memory
1099754 2024-10-12T05:10:47 Z model_code Nile (IOI24_nile) C++17
100 / 100
 129 ms 15048 KB 
// correct/hazem_full_set_nlogn.cpp

#include "bits/stdc++.h"
#include "nile.h"
using namespace std;

const int INF = 1e9;

vector<long long> calculate_costs(vector<int> W, vector<int> A, vector<int> B, vector<int> E) {
    int n = W.size();
    int q = E.size();

    vector<int> ordW(n);
    iota(ordW.begin() ,ordW.end() ,0);
    sort(ordW.begin() ,ordW.end() ,[&](int i ,int j){
        return W[i] < W[j];
    });
    vector <int> ordE(q);
    iota(ordE.begin() ,ordE.end() ,0);
    sort(ordE.begin() ,ordE.end() ,[&](int i ,int j){
        return E[i] < E[j];
    });
    vector<int> w(n), c(n);
    for(int i = 0; i < n; i++){
        int j = ordW[i];
        w[i] = W[j];
        c[i] = A[j] - B[j];
    }

    vector<array<int, 3>> edges;
    for(int i = 0; i < n; i++){
        if(i+1 < n) edges.push_back({w[i+1] - w[i], i, 1});
        if(i+2 < n) edges.push_back({w[i+2] - w[i], i, 0});
    }
    sort(edges.rbegin(), edges.rend());

    set<int> act;
    vector<int> len(n);
    vector<array<int, 3>> mnc(n);
    long long tot = 0;
    for(int i = 0; i < n; i++){
        act.insert(i);
        len[i] = 1;
        mnc[i] = {INF, INF, INF};
        mnc[i][i % 2] = c[i];
        tot += c[i];
    }
    auto cost = [&](int i){
        int idx = mnc[i][i % 2] < mnc[i][2]? (i % 2) : 2;
        return mnc[i][idx] * (len[i] % 2);
    };
    auto mrg = [&](int i){
        int j = *prev(act.upper_bound(i));
        int k = i + 1;
        tot -= cost(j);
        tot -= cost(k);
        act.erase(k);
        len[j] += len[k];
        for(int p = 0; p < 3; p++)
            mnc[j][p] = min(mnc[j][p], mnc[k][p]);
        tot += cost(j);
    };
    auto upd = [&](int i){
        int j = *prev(act.upper_bound(i));
        tot -= cost(j);
        mnc[j][2] = min(mnc[j][2], c[i]);
        tot += cost(j);
    };

    vector<long long> R(q, accumulate(B.begin(), B.end(), 0LL));
    for(int i = 0; i < q; i++){
        while(!edges.empty() && edges.back()[0] <= E[ordE[i]]){
            auto [_, x, t] = edges.back(); edges.pop_back();
            if(t) mrg(x);
            else  upd(x + 1);
        }
        R[ordE[i]] += tot;
    }
    return R;
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 12480 KB Output is correct
2 Correct 70 ms 12480 KB Output is correct
3 Correct 71 ms 13048 KB Output is correct
4 Correct 62 ms 13000 KB Output is correct
5 Correct 61 ms 12480 KB Output is correct
6 Correct 57 ms 12488 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 12992 KB Output is correct
2 Correct 66 ms 12484 KB Output is correct
3 Correct 88 ms 12488 KB Output is correct
4 Correct 86 ms 12336 KB Output is correct
5 Correct 76 ms 12484 KB Output is correct
6 Correct 94 ms 12496 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 600 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 2 ms 604 KB Output is correct
10 Correct 2 ms 604 KB Output is correct
11 Correct 2 ms 600 KB Output is correct
12 Correct 2 ms 604 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 69 ms 12480 KB Output is correct
8 Correct 70 ms 12480 KB Output is correct
9 Correct 71 ms 13048 KB Output is correct
10 Correct 62 ms 13000 KB Output is correct
11 Correct 61 ms 12480 KB Output is correct
12 Correct 57 ms 12488 KB Output is correct
13 Correct 60 ms 12992 KB Output is correct
14 Correct 66 ms 12484 KB Output is correct
15 Correct 88 ms 12488 KB Output is correct
16 Correct 86 ms 12336 KB Output is correct
17 Correct 76 ms 12484 KB Output is correct
18 Correct 94 ms 12496 KB Output is correct
19 Correct 1 ms 600 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 2 ms 604 KB Output is correct
22 Correct 2 ms 604 KB Output is correct
23 Correct 2 ms 600 KB Output is correct
24 Correct 2 ms 604 KB Output is correct
25 Correct 65 ms 12488 KB Output is correct
26 Correct 69 ms 12488 KB Output is correct
27 Correct 99 ms 12472 KB Output is correct
28 Correct 100 ms 12496 KB Output is correct
29 Correct 89 ms 12740 KB Output is correct
30 Correct 109 ms 12364 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 12992 KB Output is correct
2 Correct 66 ms 12484 KB Output is correct
3 Correct 88 ms 12488 KB Output is correct
4 Correct 86 ms 12336 KB Output is correct
5 Correct 76 ms 12484 KB Output is correct
6 Correct 94 ms 12496 KB Output is correct
7 Correct 90 ms 14280 KB Output is correct
8 Correct 106 ms 14280 KB Output is correct
9 Correct 116 ms 14276 KB Output is correct
10 Correct 119 ms 14840 KB Output is correct
11 Correct 114 ms 14812 KB Output is correct
12 Correct 125 ms 14280 KB Output is correct
13 Correct 115 ms 14668 KB Output is correct
14 Correct 96 ms 15048 KB Output is correct
15 Correct 124 ms 14652 KB Output is correct

Subtask #7
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 69 ms 12480 KB Output is correct
9 Correct 70 ms 12480 KB Output is correct
10 Correct 71 ms 13048 KB Output is correct
11 Correct 62 ms 13000 KB Output is correct
12 Correct 61 ms 12480 KB Output is correct
13 Correct 57 ms 12488 KB Output is correct
14 Correct 60 ms 12992 KB Output is correct
15 Correct 66 ms 12484 KB Output is correct
16 Correct 88 ms 12488 KB Output is correct
17 Correct 86 ms 12336 KB Output is correct
18 Correct 76 ms 12484 KB Output is correct
19 Correct 94 ms 12496 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 2 ms 604 KB Output is correct
23 Correct 2 ms 604 KB Output is correct
24 Correct 2 ms 600 KB Output is correct
25 Correct 2 ms 604 KB Output is correct
26 Correct 65 ms 12488 KB Output is correct
27 Correct 69 ms 12488 KB Output is correct
28 Correct 99 ms 12472 KB Output is correct
29 Correct 100 ms 12496 KB Output is correct
30 Correct 89 ms 12740 KB Output is correct
31 Correct 109 ms 12364 KB Output is correct
32 Correct 90 ms 14280 KB Output is correct
33 Correct 106 ms 14280 KB Output is correct
34 Correct 116 ms 14276 KB Output is correct
35 Correct 119 ms 14840 KB Output is correct
36 Correct 114 ms 14812 KB Output is correct
37 Correct 125 ms 14280 KB Output is correct
38 Correct 115 ms 14668 KB Output is correct
39 Correct 96 ms 15048 KB Output is correct
40 Correct 124 ms 14652 KB Output is correct
41 Correct 95 ms 15044 KB Output is correct
42 Correct 95 ms 14536 KB Output is correct
43 Correct 124 ms 14528 KB Output is correct
44 Correct 125 ms 14444 KB Output is correct
45 Correct 123 ms 14408 KB Output is correct
46 Correct 124 ms 14280 KB Output is correct
47 Correct 117 ms 14972 KB Output is correct
48 Correct 108 ms 14280 KB Output is correct
49 Correct 129 ms 14264 KB Output is correct