oj.uz

Submission #1108719

# Submission time Handle Problem Language Result Execution time Memory
1108719 2024-11-04T20:34:18 Z vladilius Escape Route 2 (JOI24_escape2) C++17
54 / 100
 846 ms 189256 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
#define pb push_back
#define ff first
#define ss second
const ll inf = numeric_limits<ll> :: max();
const int M = 1e5;

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    
    int n, D; cin>>n>>D;
    vector<int> x(n);
    vector<pii> t[n];
    for (int i = 1; i < n; i++){
        cin>>x[i];
        for (int j = 0; j < x[i]; j++){
            int a, b; cin>>a>>b;
            t[i].pb({a, b});
        }
    }
    
    for (int i = 1; i < n; i++){
        sort(t[i].begin(), t[i].end());
        vector<pii> nw;
        for (int j = 0; j < x[i]; j++){
            while (!nw.empty() && nw.back().ss >= t[i][j].ss){
                nw.pop_back();
            }
            if (nw.empty() || nw.back().ff != t[i][j].ff){
                nw.pb(t[i][j]);
            }
        }
        
        t[i] = nw;
        x[i] = (int) t[i].size();
    }
    
    vector<int> p(n);
    for (int i = 1; i < n; i++){
        p[i] = p[i - 1] + x[i];
    }
    int S = p.back();
    vector<int> g(S);
    vector<bool> e(S);
    for (int i = 1; i + 1 < n; i++){
        int k = x[i + 1] - 1, mn = 0;
        for (int j = x[i] - 1; j >= 0; j--){
            while (k >= 0 && t[i + 1][k].ff >= t[i][j].ss){
                mn = k--;
            }
            g[p[i - 1] + j] = p[i] + mn;
            e[p[i - 1] + j] = (t[i][j].ss > t[i + 1][mn].ff);
        }
    }
    
    const int lg = log2(S);
    vector<vector<pii>> sp(S, vector<pii>(lg + 1));
    for (int i = 0; i < S; i++) sp[i][0] = {g[i], e[i]};
    for (int j = 1; j <= lg; j++){
        for (int i = 0; i + (1 << j) <= S; i++){
            sp[i][j] = {sp[sp[i][j - 1].ff][j - 1].ff, sp[i][j - 1].ss + sp[sp[i][j - 1].ff][j - 1].ss};
        }
    }
    
    auto get = [&](int l, int r){
        ll out = inf;
        for (int i = 0; i < x[l]; i++){
            int tt = r - l - 1, f = p[l - 1] + i, cc = 0;
            for (int j = lg; j >= 0; j--){
                int k = (1 << j);
                if (tt >= k){
                    cc += sp[f][j].ss;
                    f = sp[f][j].ff;
                    tt -= k;
                }
            }
            out = min(out, 1LL * D * cc + (t[r - 1][f - p[r - 2]].ss - t[l][i].ff));
        }
        return out;
    };
    
    
    const int A = 500;
    vector<int> all;
    pair<int, ll> st[M], nw[M];
    ll out[n / A + 2][n + 1];
    int s1 = 0, s2 = 0, cc = 0;
    ll mn;
    for (int i = 1; i < n; i++){
        if (x[i] <= A) continue;
        all.pb(i);
        s1 = s2 = 0;
        for (int j = 0; j < x[i]; j++){
            st[s1++] = {p[i - 1] + j, t[i][j].ss - t[i][j].ff};
        }
        for (int j = i + 1; j <= n; j++){
            mn = inf;
            for (int k = 0; k < s1; k++){
                mn = min(mn, st[k].ss);
            }
            out[cc][j] = mn;
            if (j == n) break;
            for (int k = 0; k < s1; k++){
                auto &[x, y] = st[k];
                y += D * e[x] + (t[j][g[x] - p[j - 1]].ss - t[j - 1][x - p[j - 2]].ss);
                x = g[x];
            }
            s2 = 0;
            int k = 0;
            while (k < s1){
                int h = k; mn = inf;
                while (h < s1 && st[k].ff == st[h].ff){
                    mn = min(mn, st[h].ss);
                    h++;
                }
                nw[s2++] = {st[k].ff, mn};
                k = h;
            }
            s1 = s2;
            for (int i = 0; i < s1; i++){
                st[i] = nw[i];
            }
        }
        cc++;
    }
    
    vector<int> :: iterator it;
    int q; cin>>q;
    for (int i = 1; i <= q; i++){
        int l, r; cin>>l>>r;
        if (x[l] <= A){
            cout<<get(l, r)<<"\n";
        }
        else {
            it = lower_bound(all.begin(), all.end(), l);
            int j = (int) (it - all.begin());
            cout<<out[j][r]<<"\n";
        }
    }
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3408 KB Output is correct
2 Correct 40 ms 6480 KB Output is correct
3 Correct 52 ms 6816 KB Output is correct
4 Correct 71 ms 7788 KB Output is correct
5 Correct 66 ms 7084 KB Output is correct
6 Correct 74 ms 7752 KB Output is correct
7 Correct 83 ms 7948 KB Output is correct
8 Correct 64 ms 6728 KB Output is correct
9 Correct 75 ms 7752 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3408 KB Output is correct
2 Correct 40 ms 6480 KB Output is correct
3 Correct 52 ms 6816 KB Output is correct
4 Correct 71 ms 7788 KB Output is correct
5 Correct 66 ms 7084 KB Output is correct
6 Correct 74 ms 7752 KB Output is correct
7 Correct 83 ms 7948 KB Output is correct
8 Correct 64 ms 6728 KB Output is correct
9 Correct 75 ms 7752 KB Output is correct
10 Correct 4 ms 3408 KB Output is correct
11 Correct 82 ms 7244 KB Output is correct
12 Correct 83 ms 7144 KB Output is correct
13 Correct 85 ms 7240 KB Output is correct
14 Correct 85 ms 7240 KB Output is correct
15 Correct 74 ms 7536 KB Output is correct
16 Correct 40 ms 7240 KB Output is correct
17 Correct 69 ms 7720 KB Output is correct
18 Correct 73 ms 7536 KB Output is correct
19 Correct 73 ms 7752 KB Output is correct
20 Correct 74 ms 7496 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3408 KB Output is correct
2 Correct 40 ms 6480 KB Output is correct
3 Correct 52 ms 6816 KB Output is correct
4 Correct 71 ms 7788 KB Output is correct
5 Correct 66 ms 7084 KB Output is correct
6 Correct 74 ms 7752 KB Output is correct
7 Correct 83 ms 7948 KB Output is correct
8 Correct 64 ms 6728 KB Output is correct
9 Correct 75 ms 7752 KB Output is correct
10 Correct 332 ms 123128 KB Output is correct
11 Correct 518 ms 189224 KB Output is correct
12 Correct 430 ms 189168 KB Output is correct
13 Correct 353 ms 188088 KB Output is correct
14 Correct 389 ms 189000 KB Output is correct
15 Correct 406 ms 189256 KB Output is correct
16 Correct 312 ms 122952 KB Output is correct
17 Correct 478 ms 189172 KB Output is correct
18 Correct 238 ms 153924 KB Output is correct
19 Correct 212 ms 153672 KB Output is correct
20 Correct 230 ms 153672 KB Output is correct
21 Correct 219 ms 153788 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3408 KB Output is correct
2 Correct 40 ms 6480 KB Output is correct
3 Correct 52 ms 6816 KB Output is correct
4 Correct 71 ms 7788 KB Output is correct
5 Correct 66 ms 7084 KB Output is correct
6 Correct 74 ms 7752 KB Output is correct
7 Correct 83 ms 7948 KB Output is correct
8 Correct 64 ms 6728 KB Output is correct
9 Correct 75 ms 7752 KB Output is correct
10 Correct 4 ms 3408 KB Output is correct
11 Correct 82 ms 7244 KB Output is correct
12 Correct 83 ms 7144 KB Output is correct
13 Correct 85 ms 7240 KB Output is correct
14 Correct 85 ms 7240 KB Output is correct
15 Correct 74 ms 7536 KB Output is correct
16 Correct 40 ms 7240 KB Output is correct
17 Correct 69 ms 7720 KB Output is correct
18 Correct 73 ms 7536 KB Output is correct
19 Correct 73 ms 7752 KB Output is correct
20 Correct 74 ms 7496 KB Output is correct
21 Correct 332 ms 123128 KB Output is correct
22 Correct 518 ms 189224 KB Output is correct
23 Correct 430 ms 189168 KB Output is correct
24 Correct 353 ms 188088 KB Output is correct
25 Correct 389 ms 189000 KB Output is correct
26 Correct 406 ms 189256 KB Output is correct
27 Correct 312 ms 122952 KB Output is correct
28 Correct 478 ms 189172 KB Output is correct
29 Correct 238 ms 153924 KB Output is correct
30 Correct 212 ms 153672 KB Output is correct
31 Correct 230 ms 153672 KB Output is correct
32 Correct 219 ms 153788 KB Output is correct
33 Correct 285 ms 33352 KB Output is correct
34 Correct 345 ms 33096 KB Output is correct
35 Correct 300 ms 31048 KB Output is correct
36 Correct 260 ms 31048 KB Output is correct
37 Correct 255 ms 40016 KB Output is correct
38 Correct 249 ms 66680 KB Output is correct
39 Correct 328 ms 99408 KB Output is correct
40 Correct 257 ms 28668 KB Output is correct
41 Correct 222 ms 60488 KB Output is correct
42 Correct 332 ms 97392 KB Output is correct
43 Correct 207 ms 38472 KB Output is correct
44 Correct 276 ms 40036 KB Output is correct
45 Correct 170 ms 80968 KB Output is correct
46 Correct 119 ms 36936 KB Output is correct

Subtask #5
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3408 KB Output is correct
2 Correct 3 ms 3408 KB Output is correct
3 Correct 757 ms 20756 KB Output is correct
4 Correct 800 ms 20808 KB Output is correct
5 Correct 846 ms 20776 KB Output is correct
6 Correct 810 ms 20552 KB Output is correct
7 Correct 774 ms 20600 KB Output is correct
8 Correct 343 ms 13132 KB Output is correct
9 Runtime error 66 ms 40012 KB Execution killed with signal 11
10 Halted 0 ms 0 KB -

Subtask #6
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3408 KB Output is correct
2 Correct 40 ms 6480 KB Output is correct
3 Correct 52 ms 6816 KB Output is correct
4 Correct 71 ms 7788 KB Output is correct
5 Correct 66 ms 7084 KB Output is correct
6 Correct 74 ms 7752 KB Output is correct
7 Correct 83 ms 7948 KB Output is correct
8 Correct 64 ms 6728 KB Output is correct
9 Correct 75 ms 7752 KB Output is correct
10 Correct 4 ms 3408 KB Output is correct
11 Correct 82 ms 7244 KB Output is correct
12 Correct 83 ms 7144 KB Output is correct
13 Correct 85 ms 7240 KB Output is correct
14 Correct 85 ms 7240 KB Output is correct
15 Correct 74 ms 7536 KB Output is correct
16 Correct 40 ms 7240 KB Output is correct
17 Correct 69 ms 7720 KB Output is correct
18 Correct 73 ms 7536 KB Output is correct
19 Correct 73 ms 7752 KB Output is correct
20 Correct 74 ms 7496 KB Output is correct
21 Correct 332 ms 123128 KB Output is correct
22 Correct 518 ms 189224 KB Output is correct
23 Correct 430 ms 189168 KB Output is correct
24 Correct 353 ms 188088 KB Output is correct
25 Correct 389 ms 189000 KB Output is correct
26 Correct 406 ms 189256 KB Output is correct
27 Correct 312 ms 122952 KB Output is correct
28 Correct 478 ms 189172 KB Output is correct
29 Correct 238 ms 153924 KB Output is correct
30 Correct 212 ms 153672 KB Output is correct
31 Correct 230 ms 153672 KB Output is correct
32 Correct 219 ms 153788 KB Output is correct
33 Correct 285 ms 33352 KB Output is correct
34 Correct 345 ms 33096 KB Output is correct
35 Correct 300 ms 31048 KB Output is correct
36 Correct 260 ms 31048 KB Output is correct
37 Correct 255 ms 40016 KB Output is correct
38 Correct 249 ms 66680 KB Output is correct
39 Correct 328 ms 99408 KB Output is correct
40 Correct 257 ms 28668 KB Output is correct
41 Correct 222 ms 60488 KB Output is correct
42 Correct 332 ms 97392 KB Output is correct
43 Correct 207 ms 38472 KB Output is correct
44 Correct 276 ms 40036 KB Output is correct
45 Correct 170 ms 80968 KB Output is correct
46 Correct 119 ms 36936 KB Output is correct
47 Correct 3 ms 3408 KB Output is correct
48 Correct 3 ms 3408 KB Output is correct
49 Correct 757 ms 20756 KB Output is correct
50 Correct 800 ms 20808 KB Output is correct
51 Correct 846 ms 20776 KB Output is correct
52 Correct 810 ms 20552 KB Output is correct
53 Correct 774 ms 20600 KB Output is correct
54 Correct 343 ms 13132 KB Output is correct
55 Runtime error 66 ms 40012 KB Execution killed with signal 11
56 Halted 0 ms 0 KB -