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Submission #953771

# Submission time Handle Problem Language Result Execution time Memory
953771 2024-03-26T15:54:12 Z infrapolar Toll (BOI17_toll) C++17
100 / 100
 115 ms 81232 KB 
#include <bits/stdc++.h>
using namespace std;
const int inf = 1e9;
struct min_matrix{
    int ysize;
    int xsize;
    vector<vector<int>> data;
    min_matrix(){}
    min_matrix(int x, int y, int init) : ysize(y), xsize(x), data(ysize){
        for (auto &i : data)
            i = vector<int>(xsize, init);
    }
    min_matrix operator*(const min_matrix& other) const{
        min_matrix result(other.xsize, ysize, inf);
        for (int from = 0; from < xsize; from++)
        {
            for (int to = 0; to < xsize; to++)
            {
                for (int mid = 0; mid < xsize; mid++)
                {
                    result.data[to][from] = min(result.data[to][from], data[mid][from] + other.data[to][mid]);
                }
                
            }
            
        }
        
        return result;
    }
};
template<class T> 
struct sparse_table
{
    vector<vector<T>> data;
    function<T(const T&, const T&)> op;
    sparse_table(){}
    sparse_table(function<T(const T&, const T&)> op, int sz, T* arr) : op(op){
        data.emplace_back(vector(arr, arr+sz));
        int block_size = 2;
        int j = 1;
        while (block_size < sz){
            data.emplace_back(sz);
            for (int begin = 0; begin < sz; begin+=2*block_size)
            {
                int center = min(sz-1, begin+block_size-1);
                data[j][center] = arr[center];
                for (int i = center - 1; i >= begin; i--)
                {
                    data[j][i] = op(arr[i], data[j][i+1]);
                }
                if (center != sz - 1)
                    data[j][center+1] = arr[center+1];
                for (int i = center+2; i < min(center+block_size+1, sz); i++)
                {
                    data[j][i] = op(data[j][i-1], arr[i]);
                }
                
            }
            block_size *= 2;
            j++;
        }
    }
    min_matrix query(int l, int r){
        if (l == r)
            return data[0][l];
        int layer = -1;
        int t = l ^ r;
        while (t){
            layer++;
            t >>= 1;
        }
        return op(data[layer][l], data[layer][r]);
    }
};
void solve(){
    int k, n, m, q;
    cin >> k >> n >> m >> q;
    vector<min_matrix> data_for_table(n/k, min_matrix(k, k, inf));
    for (int i = 0; i < m; i++)
    {
        int a, b, cost;
        cin >> a >> b >> cost;
        data_for_table[a/k].data[b%k][a%k] = cost;
    }
    sparse_table<min_matrix> table([](const min_matrix& l, const min_matrix& r){return l*r;}, data_for_table.size(), data_for_table.data());
    for (int i = 0; i < q; i++)
    {
        int a, b;
        cin >> a >> b;
        if (b/k <= a/k){
            cout << "-1\n";
            continue;
        }
        int result = table.query(a/k, b/k-1).data[b%k][a%k];
        if (result == inf){
            result = -1;
        }
        cout << result << '\n';
    }
    
}
int main(){
    cin.tie(0);
    ios_base::sync_with_stdio(0);
    int t = 1;
    for (int i = 0; i < t; i++)
    {
        solve();
    }
    
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 81232 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 2 ms 1488 KB Output is correct
6 Correct 2 ms 1372 KB Output is correct
7 Correct 2 ms 1372 KB Output is correct
8 Correct 103 ms 81028 KB Output is correct
9 Correct 115 ms 80976 KB Output is correct
10 Correct 83 ms 80208 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 85 ms 64588 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 452 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 4 ms 1372 KB Output is correct
8 Correct 4 ms 1372 KB Output is correct
9 Correct 93 ms 81036 KB Output is correct
10 Correct 86 ms 56912 KB Output is correct
11 Correct 84 ms 64832 KB Output is correct
12 Correct 75 ms 55888 KB Output is correct
13 Correct 64 ms 29012 KB Output is correct
14 Correct 53 ms 32340 KB Output is correct
15 Correct 54 ms 27924 KB Output is correct
16 Correct 51 ms 27728 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 456 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 2 ms 1372 KB Output is correct
7 Correct 2 ms 1112 KB Output is correct
8 Correct 3 ms 980 KB Output is correct
9 Correct 2 ms 1088 KB Output is correct
10 Correct 88 ms 80960 KB Output is correct
11 Correct 113 ms 64592 KB Output is correct
12 Correct 86 ms 56920 KB Output is correct
13 Correct 101 ms 57172 KB Output is correct
14 Correct 85 ms 56512 KB Output is correct
15 Correct 67 ms 27928 KB Output is correct
16 Correct 53 ms 27848 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 456 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 2 ms 1372 KB Output is correct
7 Correct 2 ms 1112 KB Output is correct
8 Correct 3 ms 980 KB Output is correct
9 Correct 2 ms 1088 KB Output is correct
10 Correct 88 ms 80960 KB Output is correct
11 Correct 113 ms 64592 KB Output is correct
12 Correct 86 ms 56920 KB Output is correct
13 Correct 101 ms 57172 KB Output is correct
14 Correct 85 ms 56512 KB Output is correct
15 Correct 67 ms 27928 KB Output is correct
16 Correct 53 ms 27848 KB Output is correct
17 Correct 90 ms 64516 KB Output is correct
18 Correct 0 ms 452 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 3 ms 1368 KB Output is correct
24 Correct 2 ms 1116 KB Output is correct
25 Correct 3 ms 1116 KB Output is correct
26 Correct 3 ms 1116 KB Output is correct
27 Correct 100 ms 81004 KB Output is correct
28 Correct 93 ms 56916 KB Output is correct
29 Correct 107 ms 57216 KB Output is correct
30 Correct 99 ms 56392 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 81232 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 2 ms 1488 KB Output is correct
6 Correct 2 ms 1372 KB Output is correct
7 Correct 2 ms 1372 KB Output is correct
8 Correct 103 ms 81028 KB Output is correct
9 Correct 115 ms 80976 KB Output is correct
10 Correct 83 ms 80208 KB Output is correct
11 Correct 85 ms 64588 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 0 ms 452 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 4 ms 1372 KB Output is correct
18 Correct 4 ms 1372 KB Output is correct
19 Correct 93 ms 81036 KB Output is correct
20 Correct 86 ms 56912 KB Output is correct
21 Correct 84 ms 64832 KB Output is correct
22 Correct 75 ms 55888 KB Output is correct
23 Correct 64 ms 29012 KB Output is correct
24 Correct 53 ms 32340 KB Output is correct
25 Correct 54 ms 27924 KB Output is correct
26 Correct 51 ms 27728 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 456 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 2 ms 1372 KB Output is correct
33 Correct 2 ms 1112 KB Output is correct
34 Correct 3 ms 980 KB Output is correct
35 Correct 2 ms 1088 KB Output is correct
36 Correct 88 ms 80960 KB Output is correct
37 Correct 113 ms 64592 KB Output is correct
38 Correct 86 ms 56920 KB Output is correct
39 Correct 101 ms 57172 KB Output is correct
40 Correct 85 ms 56512 KB Output is correct
41 Correct 67 ms 27928 KB Output is correct
42 Correct 53 ms 27848 KB Output is correct
43 Correct 90 ms 64516 KB Output is correct
44 Correct 0 ms 452 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 3 ms 1368 KB Output is correct
50 Correct 2 ms 1116 KB Output is correct
51 Correct 3 ms 1116 KB Output is correct
52 Correct 3 ms 1116 KB Output is correct
53 Correct 100 ms 81004 KB Output is correct
54 Correct 93 ms 56916 KB Output is correct
55 Correct 107 ms 57216 KB Output is correct
56 Correct 99 ms 56392 KB Output is correct
57 Correct 110 ms 53688 KB Output is correct
58 Correct 104 ms 81228 KB Output is correct
59 Correct 96 ms 64860 KB Output is correct