oj.uz

Submission #1104488

# Submission time Handle Problem Language Result Execution time Memory
1104488 2024-10-23T23:33:05 Z aaaaaarroz Nile (IOI24_nile) C++17
100 / 100
 97 ms 14528 KB 
#include "bits/stdc++.h"
#include "nile.h"
using namespace std;

const int INF = 1e9;

struct DSU{
    vector <int> e;
    vector <int> c;
    vector <int> mni;
    vector<array<int, 3>> mnc;
    long long tot = 0;
    DSU(int n, vector<int> c) : e(n ,-1), c(c), mnc(n), mni(n) {
        for(int i = 0; i < n; i++){
            mni[i] = i;
            mnc[i] = {INF, INF, INF};
            mnc[i][i % 2] = c[i];
            tot += c[i];
        }
    }
    int find(int x) { return e[x]<0? x : e[x]=find(e[x]); }
    int size(int x) { return -e[find(x)]; }
    int cost(int x) {
        int idx = mnc[x][mni[x] % 2] < mnc[x][2]? (mni[x] % 2) : 2;
        return mnc[x][idx] * (size(x) % 2);
    }
    bool join(int i ,int j){
        int x = find(i) ,y = find(j);
        if(x == y){
            tot -= cost(x);
            mnc[x][2] = min(mnc[x][2], c[(i + j) / 2]);
            tot += cost(x);
            return false;
        }
        tot -= cost(x);
        tot -= cost(y);
        if(e[x] > e[y]) swap(x ,y);
        e[x] += e[y]; e[y] = x;
        for(int p = 0; p < 3; p++)
            mnc[x][p] = min(mnc[x][p], mnc[y][p]);
        mni[x] = min(mni[x], mni[y]);
        tot += cost(x);
        return true;
    }
};

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, i+1});
        if(i+2 < n) edges.push_back({w[i+2] - w[i], i, i+2});
    }
    sort(edges.rbegin(), edges.rend());

    DSU d(n, c);
    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, y] = edges.back(); edges.pop_back();
            d.join(x, y);
        }
        R[ordE[i]] += d.tot;
    }
    return R;
}

Compilation message

nile.cpp: In constructor 'DSU::DSU(int, std::vector<int>)':
nile.cpp:11:27: warning: 'DSU::mnc' will be initialized after [-Wreorder]
   11 |     vector<array<int, 3>> mnc;
      |                           ^~~
nile.cpp:10:18: warning:   'std::vector<int> DSU::mni' [-Wreorder]
   10 |     vector <int> mni;
      |                  ^~~
nile.cpp:13:5: warning:   when initialized here [-Wreorder]
   13 |     DSU(int n, vector<int> c) : e(n ,-1), c(c), mnc(n), mni(n) {
      |     ^~~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 592 KB Output is correct
2 Correct 1 ms 504 KB Output is correct
3 Correct 2 ms 592 KB Output is correct
4 Correct 2 ms 592 KB Output is correct
5 Correct 1 ms 592 KB Output is correct
6 Correct 2 ms 592 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 11304 KB Output is correct
2 Correct 47 ms 11456 KB Output is correct
3 Correct 46 ms 11452 KB Output is correct
4 Correct 45 ms 11196 KB Output is correct
5 Correct 45 ms 11452 KB Output is correct
6 Correct 48 ms 11388 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 9924 KB Output is correct
2 Correct 46 ms 10436 KB Output is correct
3 Correct 58 ms 10172 KB Output is correct
4 Correct 57 ms 10172 KB Output is correct
5 Correct 57 ms 10176 KB Output is correct
6 Correct 60 ms 10136 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 592 KB Output is correct
2 Correct 1 ms 504 KB Output is correct
3 Correct 2 ms 592 KB Output is correct
4 Correct 2 ms 592 KB Output is correct
5 Correct 1 ms 592 KB Output is correct
6 Correct 2 ms 592 KB Output is correct
7 Correct 2 ms 592 KB Output is correct
8 Correct 2 ms 592 KB Output is correct
9 Correct 2 ms 592 KB Output is correct
10 Correct 2 ms 592 KB Output is correct
11 Correct 2 ms 592 KB Output is correct
12 Correct 2 ms 592 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 592 KB Output is correct
2 Correct 1 ms 504 KB Output is correct
3 Correct 2 ms 592 KB Output is correct
4 Correct 2 ms 592 KB Output is correct
5 Correct 1 ms 592 KB Output is correct
6 Correct 2 ms 592 KB Output is correct
7 Correct 56 ms 11304 KB Output is correct
8 Correct 47 ms 11456 KB Output is correct
9 Correct 46 ms 11452 KB Output is correct
10 Correct 45 ms 11196 KB Output is correct
11 Correct 45 ms 11452 KB Output is correct
12 Correct 48 ms 11388 KB Output is correct
13 Correct 51 ms 9924 KB Output is correct
14 Correct 46 ms 10436 KB Output is correct
15 Correct 58 ms 10172 KB Output is correct
16 Correct 57 ms 10172 KB Output is correct
17 Correct 57 ms 10176 KB Output is correct
18 Correct 60 ms 10136 KB Output is correct
19 Correct 2 ms 592 KB Output is correct
20 Correct 2 ms 592 KB Output is correct
21 Correct 2 ms 592 KB Output is correct
22 Correct 2 ms 592 KB Output is correct
23 Correct 2 ms 592 KB Output is correct
24 Correct 2 ms 592 KB Output is correct
25 Correct 63 ms 11708 KB Output is correct
26 Correct 52 ms 11892 KB Output is correct
27 Correct 59 ms 11712 KB Output is correct
28 Correct 63 ms 10776 KB Output is correct
29 Correct 64 ms 11448 KB Output is correct
30 Correct 69 ms 11708 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 9924 KB Output is correct
2 Correct 46 ms 10436 KB Output is correct
3 Correct 58 ms 10172 KB Output is correct
4 Correct 57 ms 10172 KB Output is correct
5 Correct 57 ms 10176 KB Output is correct
6 Correct 60 ms 10136 KB Output is correct
7 Correct 77 ms 12640 KB Output is correct
8 Correct 69 ms 12732 KB Output is correct
9 Correct 82 ms 12732 KB Output is correct
10 Correct 82 ms 12868 KB Output is correct
11 Correct 78 ms 12732 KB Output is correct
12 Correct 80 ms 11192 KB Output is correct
13 Correct 82 ms 12848 KB Output is correct
14 Correct 75 ms 12476 KB Output is correct
15 Correct 95 ms 12724 KB Output is correct

Subtask #7
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 2 ms 592 KB Output is correct
3 Correct 1 ms 504 KB Output is correct
4 Correct 2 ms 592 KB Output is correct
5 Correct 2 ms 592 KB Output is correct
6 Correct 1 ms 592 KB Output is correct
7 Correct 2 ms 592 KB Output is correct
8 Correct 56 ms 11304 KB Output is correct
9 Correct 47 ms 11456 KB Output is correct
10 Correct 46 ms 11452 KB Output is correct
11 Correct 45 ms 11196 KB Output is correct
12 Correct 45 ms 11452 KB Output is correct
13 Correct 48 ms 11388 KB Output is correct
14 Correct 51 ms 9924 KB Output is correct
15 Correct 46 ms 10436 KB Output is correct
16 Correct 58 ms 10172 KB Output is correct
17 Correct 57 ms 10172 KB Output is correct
18 Correct 57 ms 10176 KB Output is correct
19 Correct 60 ms 10136 KB Output is correct
20 Correct 2 ms 592 KB Output is correct
21 Correct 2 ms 592 KB Output is correct
22 Correct 2 ms 592 KB Output is correct
23 Correct 2 ms 592 KB Output is correct
24 Correct 2 ms 592 KB Output is correct
25 Correct 2 ms 592 KB Output is correct
26 Correct 63 ms 11708 KB Output is correct
27 Correct 52 ms 11892 KB Output is correct
28 Correct 59 ms 11712 KB Output is correct
29 Correct 63 ms 10776 KB Output is correct
30 Correct 64 ms 11448 KB Output is correct
31 Correct 69 ms 11708 KB Output is correct
32 Correct 77 ms 12640 KB Output is correct
33 Correct 69 ms 12732 KB Output is correct
34 Correct 82 ms 12732 KB Output is correct
35 Correct 82 ms 12868 KB Output is correct
36 Correct 78 ms 12732 KB Output is correct
37 Correct 80 ms 11192 KB Output is correct
38 Correct 82 ms 12848 KB Output is correct
39 Correct 75 ms 12476 KB Output is correct
40 Correct 95 ms 12724 KB Output is correct
41 Correct 76 ms 13992 KB Output is correct
42 Correct 82 ms 12940 KB Output is correct
43 Correct 91 ms 14272 KB Output is correct
44 Correct 91 ms 14268 KB Output is correct
45 Correct 87 ms 14380 KB Output is correct
46 Correct 94 ms 14380 KB Output is correct
47 Correct 95 ms 14248 KB Output is correct
48 Correct 79 ms 14120 KB Output is correct
49 Correct 97 ms 14528 KB Output is correct