Submission #1108730

# Submission time Handle Problem Language Result Execution time Memory
1108730 2024-11-04T20:57:25 Z vladilius Escape Route 2 (JOI24_escape2) C++17
100 / 100
1544 ms 294960 KB
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
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);
        }
    }
    
    int lg = (int) log2(S);
    pii sp[S][20];
    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 = 300;
    vector<int> all;
    pair<int, ll> st[M], nw[M];
    ll out[M / A + 5][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";
        }
    }
}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3408 KB Output is correct
2 Correct 39 ms 6480 KB Output is correct
3 Correct 61 ms 10312 KB Output is correct
4 Correct 73 ms 13140 KB Output is correct
5 Correct 61 ms 12360 KB Output is correct
6 Correct 76 ms 13140 KB Output is correct
7 Correct 74 ms 13128 KB Output is correct
8 Correct 61 ms 10312 KB Output is correct
9 Correct 77 ms 13136 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3408 KB Output is correct
2 Correct 39 ms 6480 KB Output is correct
3 Correct 61 ms 10312 KB Output is correct
4 Correct 73 ms 13140 KB Output is correct
5 Correct 61 ms 12360 KB Output is correct
6 Correct 76 ms 13140 KB Output is correct
7 Correct 74 ms 13128 KB Output is correct
8 Correct 61 ms 10312 KB Output is correct
9 Correct 77 ms 13136 KB Output is correct
10 Correct 4 ms 3408 KB Output is correct
11 Correct 74 ms 8520 KB Output is correct
12 Correct 74 ms 8296 KB Output is correct
13 Correct 81 ms 8272 KB Output is correct
14 Correct 70 ms 8264 KB Output is correct
15 Correct 70 ms 9288 KB Output is correct
16 Correct 40 ms 6484 KB Output is correct
17 Correct 69 ms 11336 KB Output is correct
18 Correct 68 ms 9288 KB Output is correct
19 Correct 75 ms 11344 KB Output is correct
20 Correct 73 ms 9288 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3408 KB Output is correct
2 Correct 39 ms 6480 KB Output is correct
3 Correct 61 ms 10312 KB Output is correct
4 Correct 73 ms 13140 KB Output is correct
5 Correct 61 ms 12360 KB Output is correct
6 Correct 76 ms 13140 KB Output is correct
7 Correct 74 ms 13128 KB Output is correct
8 Correct 61 ms 10312 KB Output is correct
9 Correct 77 ms 13136 KB Output is correct
10 Correct 395 ms 233032 KB Output is correct
11 Correct 565 ms 294728 KB Output is correct
12 Correct 553 ms 294960 KB Output is correct
13 Correct 526 ms 293672 KB Output is correct
14 Correct 557 ms 294856 KB Output is correct
15 Correct 596 ms 294728 KB Output is correct
16 Correct 358 ms 233032 KB Output is correct
17 Correct 447 ms 294708 KB Output is correct
18 Correct 290 ms 262984 KB Output is correct
19 Correct 280 ms 262728 KB Output is correct
20 Correct 293 ms 262984 KB Output is correct
21 Correct 324 ms 262984 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3408 KB Output is correct
2 Correct 39 ms 6480 KB Output is correct
3 Correct 61 ms 10312 KB Output is correct
4 Correct 73 ms 13140 KB Output is correct
5 Correct 61 ms 12360 KB Output is correct
6 Correct 76 ms 13140 KB Output is correct
7 Correct 74 ms 13128 KB Output is correct
8 Correct 61 ms 10312 KB Output is correct
9 Correct 77 ms 13136 KB Output is correct
10 Correct 4 ms 3408 KB Output is correct
11 Correct 74 ms 8520 KB Output is correct
12 Correct 74 ms 8296 KB Output is correct
13 Correct 81 ms 8272 KB Output is correct
14 Correct 70 ms 8264 KB Output is correct
15 Correct 70 ms 9288 KB Output is correct
16 Correct 40 ms 6484 KB Output is correct
17 Correct 69 ms 11336 KB Output is correct
18 Correct 68 ms 9288 KB Output is correct
19 Correct 75 ms 11344 KB Output is correct
20 Correct 73 ms 9288 KB Output is correct
21 Correct 395 ms 233032 KB Output is correct
22 Correct 565 ms 294728 KB Output is correct
23 Correct 553 ms 294960 KB Output is correct
24 Correct 526 ms 293672 KB Output is correct
25 Correct 557 ms 294856 KB Output is correct
26 Correct 596 ms 294728 KB Output is correct
27 Correct 358 ms 233032 KB Output is correct
28 Correct 447 ms 294708 KB Output is correct
29 Correct 290 ms 262984 KB Output is correct
30 Correct 280 ms 262728 KB Output is correct
31 Correct 293 ms 262984 KB Output is correct
32 Correct 324 ms 262984 KB Output is correct
33 Correct 349 ms 78664 KB Output is correct
34 Correct 322 ms 78516 KB Output is correct
35 Correct 283 ms 76616 KB Output is correct
36 Correct 262 ms 76752 KB Output is correct
37 Correct 266 ms 104268 KB Output is correct
38 Correct 298 ms 161108 KB Output is correct
39 Correct 411 ms 204544 KB Output is correct
40 Correct 246 ms 79388 KB Output is correct
41 Correct 248 ms 151844 KB Output is correct
42 Correct 355 ms 202288 KB Output is correct
43 Correct 228 ms 107336 KB Output is correct
44 Correct 240 ms 109836 KB Output is correct
45 Correct 226 ms 182292 KB Output is correct
46 Correct 159 ms 101032 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 3580 KB Output is correct
2 Correct 3 ms 3408 KB Output is correct
3 Correct 553 ms 21124 KB Output is correct
4 Correct 514 ms 20808 KB Output is correct
5 Correct 557 ms 20868 KB Output is correct
6 Correct 532 ms 20768 KB Output is correct
7 Correct 536 ms 20736 KB Output is correct
8 Correct 238 ms 13728 KB Output is correct
9 Correct 56 ms 21064 KB Output is correct
10 Correct 41 ms 12032 KB Output is correct
11 Correct 298 ms 263012 KB Output is correct
12 Correct 241 ms 182008 KB Output is correct
13 Correct 168 ms 101192 KB Output is correct
14 Correct 115 ms 71184 KB Output is correct
15 Correct 109 ms 70912 KB Output is correct
16 Correct 116 ms 71972 KB Output is correct
17 Correct 121 ms 70984 KB Output is correct
18 Correct 93 ms 23712 KB Output is correct
19 Correct 198 ms 21068 KB Output is correct
20 Correct 462 ms 197068 KB Output is correct
21 Correct 413 ms 196884 KB Output is correct
22 Correct 515 ms 108616 KB Output is correct
23 Correct 414 ms 108620 KB Output is correct
24 Correct 136 ms 108252 KB Output is correct
25 Correct 128 ms 108500 KB Output is correct
26 Correct 144 ms 108360 KB Output is correct
27 Correct 280 ms 262900 KB Output is correct
28 Correct 304 ms 262984 KB Output is correct
29 Correct 297 ms 262880 KB Output is correct
30 Correct 62 ms 21844 KB Output is correct
31 Correct 80 ms 5448 KB Output is correct
32 Correct 65 ms 14920 KB Output is correct
33 Correct 58 ms 6328 KB Output is correct
34 Correct 65 ms 8264 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3408 KB Output is correct
2 Correct 39 ms 6480 KB Output is correct
3 Correct 61 ms 10312 KB Output is correct
4 Correct 73 ms 13140 KB Output is correct
5 Correct 61 ms 12360 KB Output is correct
6 Correct 76 ms 13140 KB Output is correct
7 Correct 74 ms 13128 KB Output is correct
8 Correct 61 ms 10312 KB Output is correct
9 Correct 77 ms 13136 KB Output is correct
10 Correct 4 ms 3408 KB Output is correct
11 Correct 74 ms 8520 KB Output is correct
12 Correct 74 ms 8296 KB Output is correct
13 Correct 81 ms 8272 KB Output is correct
14 Correct 70 ms 8264 KB Output is correct
15 Correct 70 ms 9288 KB Output is correct
16 Correct 40 ms 6484 KB Output is correct
17 Correct 69 ms 11336 KB Output is correct
18 Correct 68 ms 9288 KB Output is correct
19 Correct 75 ms 11344 KB Output is correct
20 Correct 73 ms 9288 KB Output is correct
21 Correct 395 ms 233032 KB Output is correct
22 Correct 565 ms 294728 KB Output is correct
23 Correct 553 ms 294960 KB Output is correct
24 Correct 526 ms 293672 KB Output is correct
25 Correct 557 ms 294856 KB Output is correct
26 Correct 596 ms 294728 KB Output is correct
27 Correct 358 ms 233032 KB Output is correct
28 Correct 447 ms 294708 KB Output is correct
29 Correct 290 ms 262984 KB Output is correct
30 Correct 280 ms 262728 KB Output is correct
31 Correct 293 ms 262984 KB Output is correct
32 Correct 324 ms 262984 KB Output is correct
33 Correct 349 ms 78664 KB Output is correct
34 Correct 322 ms 78516 KB Output is correct
35 Correct 283 ms 76616 KB Output is correct
36 Correct 262 ms 76752 KB Output is correct
37 Correct 266 ms 104268 KB Output is correct
38 Correct 298 ms 161108 KB Output is correct
39 Correct 411 ms 204544 KB Output is correct
40 Correct 246 ms 79388 KB Output is correct
41 Correct 248 ms 151844 KB Output is correct
42 Correct 355 ms 202288 KB Output is correct
43 Correct 228 ms 107336 KB Output is correct
44 Correct 240 ms 109836 KB Output is correct
45 Correct 226 ms 182292 KB Output is correct
46 Correct 159 ms 101032 KB Output is correct
47 Correct 3 ms 3580 KB Output is correct
48 Correct 3 ms 3408 KB Output is correct
49 Correct 553 ms 21124 KB Output is correct
50 Correct 514 ms 20808 KB Output is correct
51 Correct 557 ms 20868 KB Output is correct
52 Correct 532 ms 20768 KB Output is correct
53 Correct 536 ms 20736 KB Output is correct
54 Correct 238 ms 13728 KB Output is correct
55 Correct 56 ms 21064 KB Output is correct
56 Correct 41 ms 12032 KB Output is correct
57 Correct 298 ms 263012 KB Output is correct
58 Correct 241 ms 182008 KB Output is correct
59 Correct 168 ms 101192 KB Output is correct
60 Correct 115 ms 71184 KB Output is correct
61 Correct 109 ms 70912 KB Output is correct
62 Correct 116 ms 71972 KB Output is correct
63 Correct 121 ms 70984 KB Output is correct
64 Correct 93 ms 23712 KB Output is correct
65 Correct 198 ms 21068 KB Output is correct
66 Correct 462 ms 197068 KB Output is correct
67 Correct 413 ms 196884 KB Output is correct
68 Correct 515 ms 108616 KB Output is correct
69 Correct 414 ms 108620 KB Output is correct
70 Correct 136 ms 108252 KB Output is correct
71 Correct 128 ms 108500 KB Output is correct
72 Correct 144 ms 108360 KB Output is correct
73 Correct 280 ms 262900 KB Output is correct
74 Correct 304 ms 262984 KB Output is correct
75 Correct 297 ms 262880 KB Output is correct
76 Correct 62 ms 21844 KB Output is correct
77 Correct 80 ms 5448 KB Output is correct
78 Correct 65 ms 14920 KB Output is correct
79 Correct 58 ms 6328 KB Output is correct
80 Correct 65 ms 8264 KB Output is correct
81 Correct 1147 ms 25176 KB Output is correct
82 Correct 1127 ms 25100 KB Output is correct
83 Correct 1303 ms 25032 KB Output is correct
84 Correct 1217 ms 24892 KB Output is correct
85 Correct 1163 ms 24904 KB Output is correct
86 Correct 479 ms 17480 KB Output is correct
87 Correct 113 ms 25928 KB Output is correct
88 Correct 931 ms 26292 KB Output is correct
89 Correct 883 ms 26372 KB Output is correct
90 Correct 358 ms 18508 KB Output is correct
91 Correct 72 ms 13508 KB Output is correct
92 Correct 199 ms 83716 KB Output is correct
93 Correct 200 ms 81924 KB Output is correct
94 Correct 201 ms 81992 KB Output is correct
95 Correct 212 ms 81480 KB Output is correct
96 Correct 264 ms 28744 KB Output is correct
97 Correct 644 ms 25536 KB Output is correct
98 Correct 1289 ms 201800 KB Output is correct
99 Correct 1043 ms 201888 KB Output is correct
100 Correct 1544 ms 113224 KB Output is correct
101 Correct 1227 ms 113224 KB Output is correct
102 Correct 195 ms 113052 KB Output is correct
103 Correct 170 ms 113300 KB Output is correct
104 Correct 204 ms 113224 KB Output is correct
105 Correct 102 ms 13364 KB Output is correct
106 Correct 186 ms 7616 KB Output is correct
107 Correct 179 ms 18940 KB Output is correct
108 Correct 139 ms 9220 KB Output is correct
109 Correct 181 ms 11292 KB Output is correct