oj.uz

Submission #1083160

# Submission time Handle Problem Language Result Execution time Memory
1083160 2024-09-02T17:02:12 Z _8_8_ Toll (BOI17_toll) C++17
100 / 100
 403 ms 26700 KB 
#include <bits/stdc++.h>

using namespace std;
    
typedef long long ll;
const int  N = 5e4 + 12, MOD = (int)1e9 + 7;

int k, n, m, q, b;
vector<pair<int,int>> g[N], o;
vector<ll> di[N];
const int inf = 1e9 + 1;
vector<ll> tr(vector<ll> prev,int l, int r) {
    vector<ll> ret(k,inf);
    assert(l % k == 0);
    for(int i = l; i <= r; i++) {
        int f = i % k;
        for(auto [to,w]:g[i]) {
            ret[to % k] = min(ret[to % k],prev[f] + w);
        }
    }
    return ret;
}
void prec() {
    for(int i = (int)o.size() - 1; i >= 0; i--) {
        if(i % b == 0) {
            int nx = i + b;
            int l = o[i].first, r = o[i].second;
            for(int j = l; j <= r; j++) {
                vector<ll> dd(k,inf);
                dd[j%k] = 0;
                // cout << j << '\n';
                for(int _i = i + 1; _i < (int)o.size(); _i++) {
                    vector<ll> nv = tr(dd,o[_i - 1].first,o[_i - 1].second);
                    for(auto f:nv) {    
                        di[j].push_back(f);
                        // cout << f << ' ';
                    }
                    dd = nv;
                }
                // cout << "_____________\n";
            }
        }
    }
}
void test() {
    cin >> k >> n >> m >> q;
    for(int i = 1; i <= m; i++) {
        int a, b, c;
        cin >> a >> b >> c;
        g[a].push_back({b,c});
    }
    for(int i = 0; i <= n; i++) {
        int l = i * k, r = (i + 1) * k - 1;
        if(l >= n) break;
        if(r >= n) {
                r = n - 1;
        }
        o.push_back({l,r});
    }
    for(int i = 0; i < n; i++) {
        sort(g[i].begin(),g[i].end());
        vector<pair<int,int>> nv;
        for(auto [x,y]:g[i]) {
            if(nv.empty() || nv.back().first != x) {
                nv.emplace_back(x,y);
            }
        }
        g[i].swap(nv);
        assert((int)g[i].size() <= k);
    }
    b = 600;
    // b = 1;
    prec();
    // return;
    while(q--) {
        int a, r;
        cin >> a >> r;
        if(a / k >= r / k) {
            cout << -1 << '\n';
            continue;
        }
        int x = a / k, y = r / k;
        vector<ll> cur(k,inf);
        cur[a%k] = 0;
        while(x % b != 0) {
            x++;
            cur = tr(cur,o[x - 1].first,o[x - 1].second);
            if(x == y) {
                break;
            }
        }
        ll res = inf;
        if(x == y) {
            res = cur[r % k];
        } else {
            for(int i = 0; i < k; i++) {
                int nx = (x + 1) * k;
                res = min(res,di[o[x].first + i][r - nx] + cur[i]);
            }
        }
        if(res == inf) res = -1;
        cout << res << '\n';
    }
}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    int t = 1; 
    // cin >> t;
    while(t--) 
        test();

    return 0;
}

Compilation message

toll.cpp: In function 'void prec()':
toll.cpp:26:17: warning: unused variable 'nx' [-Wunused-variable]
   26 |             int nx = i + b;
      |                 ^~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 246 ms 22128 KB Output is correct
2 Correct 1 ms 2648 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 8 ms 2648 KB Output is correct
6 Correct 8 ms 2652 KB Output is correct
7 Correct 8 ms 2652 KB Output is correct
8 Correct 246 ms 22060 KB Output is correct
9 Correct 250 ms 21976 KB Output is correct
10 Correct 161 ms 20432 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 114 ms 21804 KB Output is correct
2 Correct 1 ms 2648 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2648 KB Output is correct
7 Correct 2 ms 2652 KB Output is correct
8 Correct 3 ms 2908 KB Output is correct
9 Correct 117 ms 21932 KB Output is correct
10 Correct 97 ms 23244 KB Output is correct
11 Correct 110 ms 21576 KB Output is correct
12 Correct 87 ms 21848 KB Output is correct
13 Correct 63 ms 12304 KB Output is correct
14 Correct 46 ms 11084 KB Output is correct
15 Correct 38 ms 10956 KB Output is correct
16 Correct 37 ms 10936 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 2 ms 2652 KB Output is correct
8 Correct 3 ms 2908 KB Output is correct
9 Correct 4 ms 2920 KB Output is correct
10 Correct 117 ms 21972 KB Output is correct
11 Correct 114 ms 23116 KB Output is correct
12 Correct 118 ms 25212 KB Output is correct
13 Correct 100 ms 25696 KB Output is correct
14 Correct 92 ms 24524 KB Output is correct
15 Correct 41 ms 12064 KB Output is correct
16 Correct 40 ms 12048 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 2 ms 2652 KB Output is correct
8 Correct 3 ms 2908 KB Output is correct
9 Correct 4 ms 2920 KB Output is correct
10 Correct 117 ms 21972 KB Output is correct
11 Correct 114 ms 23116 KB Output is correct
12 Correct 118 ms 25212 KB Output is correct
13 Correct 100 ms 25696 KB Output is correct
14 Correct 92 ms 24524 KB Output is correct
15 Correct 41 ms 12064 KB Output is correct
16 Correct 40 ms 12048 KB Output is correct
17 Correct 167 ms 23284 KB Output is correct
18 Correct 1 ms 2648 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2648 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 22 ms 2908 KB Output is correct
24 Correct 20 ms 2908 KB Output is correct
25 Correct 17 ms 2908 KB Output is correct
26 Correct 16 ms 2908 KB Output is correct
27 Correct 178 ms 22840 KB Output is correct
28 Correct 153 ms 25288 KB Output is correct
29 Correct 160 ms 25916 KB Output is correct
30 Correct 158 ms 24388 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 246 ms 22128 KB Output is correct
2 Correct 1 ms 2648 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 8 ms 2648 KB Output is correct
6 Correct 8 ms 2652 KB Output is correct
7 Correct 8 ms 2652 KB Output is correct
8 Correct 246 ms 22060 KB Output is correct
9 Correct 250 ms 21976 KB Output is correct
10 Correct 161 ms 20432 KB Output is correct
11 Correct 114 ms 21804 KB Output is correct
12 Correct 1 ms 2648 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2648 KB Output is correct
17 Correct 2 ms 2652 KB Output is correct
18 Correct 3 ms 2908 KB Output is correct
19 Correct 117 ms 21932 KB Output is correct
20 Correct 97 ms 23244 KB Output is correct
21 Correct 110 ms 21576 KB Output is correct
22 Correct 87 ms 21848 KB Output is correct
23 Correct 63 ms 12304 KB Output is correct
24 Correct 46 ms 11084 KB Output is correct
25 Correct 38 ms 10956 KB Output is correct
26 Correct 37 ms 10936 KB Output is correct
27 Correct 1 ms 2652 KB Output is correct
28 Correct 1 ms 2652 KB Output is correct
29 Correct 1 ms 2652 KB Output is correct
30 Correct 1 ms 2652 KB Output is correct
31 Correct 1 ms 2652 KB Output is correct
32 Correct 1 ms 2652 KB Output is correct
33 Correct 2 ms 2652 KB Output is correct
34 Correct 3 ms 2908 KB Output is correct
35 Correct 4 ms 2920 KB Output is correct
36 Correct 117 ms 21972 KB Output is correct
37 Correct 114 ms 23116 KB Output is correct
38 Correct 118 ms 25212 KB Output is correct
39 Correct 100 ms 25696 KB Output is correct
40 Correct 92 ms 24524 KB Output is correct
41 Correct 41 ms 12064 KB Output is correct
42 Correct 40 ms 12048 KB Output is correct
43 Correct 167 ms 23284 KB Output is correct
44 Correct 1 ms 2648 KB Output is correct
45 Correct 1 ms 2652 KB Output is correct
46 Correct 1 ms 2652 KB Output is correct
47 Correct 1 ms 2648 KB Output is correct
48 Correct 1 ms 2652 KB Output is correct
49 Correct 22 ms 2908 KB Output is correct
50 Correct 20 ms 2908 KB Output is correct
51 Correct 17 ms 2908 KB Output is correct
52 Correct 16 ms 2908 KB Output is correct
53 Correct 178 ms 22840 KB Output is correct
54 Correct 153 ms 25288 KB Output is correct
55 Correct 160 ms 25916 KB Output is correct
56 Correct 158 ms 24388 KB Output is correct
57 Correct 403 ms 26700 KB Output is correct
58 Correct 269 ms 22988 KB Output is correct
59 Correct 295 ms 23440 KB Output is correct