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Submission #944209

# Submission time Handle Problem Language Result Execution time Memory
944209 2024-03-12T10:41:09 Z AlphaMale06 Toll (BOI17_toll) C++17
100 / 100
 170 ms 81124 KB 
#include <bits/stdc++.h>

using namespace std;

#define int long long
#define F first
#define S second
#define pb push_back

const int N = 5e4+2;
const int inf = 1e9;

int k, n, b;

vector<vector<int>> mat[N][16];

vector<int> mul(vector<int> & f, vector<vector<int>> & s){
    vector<int> ret(k, inf);
    for(int i=0; i<k;i++){
        for(int j=0; j<k; j++){
            ret[i]=min(ret[i], f[j]+s[j][i]);
        }
    }
    return ret;
}

vector<vector<int>> mul(vector<vector<int>> & f, vector<vector<int>> & s){
    vector<vector<int>> ret;
    for(int i=0; i<k; i++)ret.pb(mul(f[i], s));
    return ret;
}

void smin(int & f, int s){
    if(s<f)f=s;
}


signed main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int m, q;
    cin >> k >> n >> m >> q;
    b=(n+k-1)/k;
    for(int j=0; j<16; j++){
        for(int i=0; i+(1<<j)<=b; i++){
            mat[i][j].resize(k);
            for(int l=0; l<k; l++)mat[i][j][l].resize(k, inf);
        }
    }
    for(int i=0; i< m; i++){
        int x, y, c;
        cin >> x >> y >> c;
        smin(mat[x/k][0][x%k][y%k], c);
    }
    for(int j=1; j<16; j++){
        for(int i=0; i+(1<<j)<=b; i++){
            mat[i][j]=mul(mat[i][j-1], mat[i+(1<<(j-1))][j-1]);  
        }
    }
    while(q--){
        int l, r;
        cin >> l >> r;
        if(l==r){
            cout << 0 << '\n';
            continue;
        }
        int ly = l/k;
        int ry = r/k;
        if(ly>=ry){
            cout << -1 << '\n';
            continue;
        }
        vector<int> st(k, inf);
        st[l%k]=0;
        int str=ly;
        for(int i=15; i>=0; i--){
            if(ly+(1<<i)<=ry){
                st=mul(st, mat[ly][i]);
                ly+=(1<<i);
            }   
        }
        if(st[r%k]>=inf)cout << -1 << '\n';
        else cout << st[r%k] << '\n';
    }
    
}

Compilation message

toll.cpp: In function 'int main()':
toll.cpp:75:13: warning: unused variable 'str' [-Wunused-variable]
   75 |         int str=ly;
      |             ^~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 139 ms 66212 KB Output is correct
2 Correct 4 ms 19036 KB Output is correct
3 Correct 6 ms 19036 KB Output is correct
4 Correct 4 ms 19036 KB Output is correct
5 Correct 6 ms 19804 KB Output is correct
6 Correct 7 ms 19804 KB Output is correct
7 Correct 7 ms 19804 KB Output is correct
8 Correct 137 ms 66104 KB Output is correct
9 Correct 131 ms 65904 KB Output is correct
10 Correct 127 ms 65616 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 117 ms 63692 KB Output is correct
2 Correct 5 ms 19220 KB Output is correct
3 Correct 5 ms 19036 KB Output is correct
4 Correct 4 ms 19036 KB Output is correct
5 Correct 5 ms 19036 KB Output is correct
6 Correct 6 ms 19036 KB Output is correct
7 Correct 9 ms 19676 KB Output is correct
8 Correct 11 ms 19804 KB Output is correct
9 Correct 132 ms 66000 KB Output is correct
10 Correct 161 ms 80788 KB Output is correct
11 Correct 135 ms 63824 KB Output is correct
12 Correct 139 ms 80024 KB Output is correct
13 Correct 106 ms 59728 KB Output is correct
14 Correct 85 ms 54288 KB Output is correct
15 Correct 92 ms 58572 KB Output is correct
16 Correct 96 ms 58752 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 19036 KB Output is correct
2 Correct 5 ms 19036 KB Output is correct
3 Correct 4 ms 19036 KB Output is correct
4 Correct 5 ms 19036 KB Output is correct
5 Correct 5 ms 19036 KB Output is correct
6 Correct 6 ms 19804 KB Output is correct
7 Correct 6 ms 19548 KB Output is correct
8 Correct 7 ms 19804 KB Output is correct
9 Correct 6 ms 19804 KB Output is correct
10 Correct 125 ms 65892 KB Output is correct
11 Correct 109 ms 63616 KB Output is correct
12 Correct 146 ms 80684 KB Output is correct
13 Correct 143 ms 80980 KB Output is correct
14 Correct 149 ms 80464 KB Output is correct
15 Correct 89 ms 58536 KB Output is correct
16 Correct 115 ms 58480 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 19036 KB Output is correct
2 Correct 5 ms 19036 KB Output is correct
3 Correct 4 ms 19036 KB Output is correct
4 Correct 5 ms 19036 KB Output is correct
5 Correct 5 ms 19036 KB Output is correct
6 Correct 6 ms 19804 KB Output is correct
7 Correct 6 ms 19548 KB Output is correct
8 Correct 7 ms 19804 KB Output is correct
9 Correct 6 ms 19804 KB Output is correct
10 Correct 125 ms 65892 KB Output is correct
11 Correct 109 ms 63616 KB Output is correct
12 Correct 146 ms 80684 KB Output is correct
13 Correct 143 ms 80980 KB Output is correct
14 Correct 149 ms 80464 KB Output is correct
15 Correct 89 ms 58536 KB Output is correct
16 Correct 115 ms 58480 KB Output is correct
17 Correct 110 ms 63480 KB Output is correct
18 Correct 4 ms 19032 KB Output is correct
19 Correct 4 ms 19036 KB Output is correct
20 Correct 6 ms 19036 KB Output is correct
21 Correct 5 ms 19036 KB Output is correct
22 Correct 6 ms 19248 KB Output is correct
23 Correct 7 ms 19800 KB Output is correct
24 Correct 7 ms 19804 KB Output is correct
25 Correct 8 ms 20068 KB Output is correct
26 Correct 7 ms 19804 KB Output is correct
27 Correct 124 ms 66064 KB Output is correct
28 Correct 154 ms 81124 KB Output is correct
29 Correct 150 ms 81020 KB Output is correct
30 Correct 147 ms 80304 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 139 ms 66212 KB Output is correct
2 Correct 4 ms 19036 KB Output is correct
3 Correct 6 ms 19036 KB Output is correct
4 Correct 4 ms 19036 KB Output is correct
5 Correct 6 ms 19804 KB Output is correct
6 Correct 7 ms 19804 KB Output is correct
7 Correct 7 ms 19804 KB Output is correct
8 Correct 137 ms 66104 KB Output is correct
9 Correct 131 ms 65904 KB Output is correct
10 Correct 127 ms 65616 KB Output is correct
11 Correct 117 ms 63692 KB Output is correct
12 Correct 5 ms 19220 KB Output is correct
13 Correct 5 ms 19036 KB Output is correct
14 Correct 4 ms 19036 KB Output is correct
15 Correct 5 ms 19036 KB Output is correct
16 Correct 6 ms 19036 KB Output is correct
17 Correct 9 ms 19676 KB Output is correct
18 Correct 11 ms 19804 KB Output is correct
19 Correct 132 ms 66000 KB Output is correct
20 Correct 161 ms 80788 KB Output is correct
21 Correct 135 ms 63824 KB Output is correct
22 Correct 139 ms 80024 KB Output is correct
23 Correct 106 ms 59728 KB Output is correct
24 Correct 85 ms 54288 KB Output is correct
25 Correct 92 ms 58572 KB Output is correct
26 Correct 96 ms 58752 KB Output is correct
27 Correct 4 ms 19036 KB Output is correct
28 Correct 5 ms 19036 KB Output is correct
29 Correct 4 ms 19036 KB Output is correct
30 Correct 5 ms 19036 KB Output is correct
31 Correct 5 ms 19036 KB Output is correct
32 Correct 6 ms 19804 KB Output is correct
33 Correct 6 ms 19548 KB Output is correct
34 Correct 7 ms 19804 KB Output is correct
35 Correct 6 ms 19804 KB Output is correct
36 Correct 125 ms 65892 KB Output is correct
37 Correct 109 ms 63616 KB Output is correct
38 Correct 146 ms 80684 KB Output is correct
39 Correct 143 ms 80980 KB Output is correct
40 Correct 149 ms 80464 KB Output is correct
41 Correct 89 ms 58536 KB Output is correct
42 Correct 115 ms 58480 KB Output is correct
43 Correct 110 ms 63480 KB Output is correct
44 Correct 4 ms 19032 KB Output is correct
45 Correct 4 ms 19036 KB Output is correct
46 Correct 6 ms 19036 KB Output is correct
47 Correct 5 ms 19036 KB Output is correct
48 Correct 6 ms 19248 KB Output is correct
49 Correct 7 ms 19800 KB Output is correct
50 Correct 7 ms 19804 KB Output is correct
51 Correct 8 ms 20068 KB Output is correct
52 Correct 7 ms 19804 KB Output is correct
53 Correct 124 ms 66064 KB Output is correct
54 Correct 154 ms 81124 KB Output is correct
55 Correct 150 ms 81020 KB Output is correct
56 Correct 147 ms 80304 KB Output is correct
57 Correct 170 ms 69988 KB Output is correct
58 Correct 156 ms 66156 KB Output is correct
59 Correct 124 ms 63672 KB Output is correct