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Submission #1041335

# Submission time Handle Problem Language Result Execution time Memory
1041335 2024-08-01T22:02:22 Z Math4Life2020 Jakarta Skyscrapers (APIO15_skyscraper) C++17
100 / 100
 530 ms 50008 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long; using pii = pair<ll,ll>;
int main() {
    ios_base::sync_with_stdio(false); cin.tie(0);
	ll N,M; cin >> N >> M;
    ll K = floor(sqrt(N+0.001)); //MODIFY
    ll B[M],P[M];
    ll val[N];
    ll val2[K][N];
    bool found[N];
    bool found2[K][N];
    vector<pii> doges[N];
    for (ll i=0;i<M;i++) {
        cin >> B[i] >> P[i];
        doges[B[i]].push_back({i,P[i]});
    }
    for (ll i=0;i<N;i++) {
        for (ll k=0;k<K;k++) {
            val2[k][i]=1e18;
            found2[k][i]=0;
        }
        val[i]=1e18;
        found[i]=0;
    }
    val[B[0]]=0;
    priority_queue<pair<ll,ll>> PQ; //-val, position
    priority_queue<array<ll,3>> PQ2; //-val, position, k
    PQ.push({0,B[0]});
    while(1) {
        ll mv = 1e17; ll ctr = -1;
        ll lpop = -1;
        while (!PQ.empty()) {
            pii q0 = PQ.top(); ll v = -q0.first; ll x = q0.second;
            if (!found[x]) {
                ctr = x; mv = v; lpop = 0;
                break;
            } else {
                PQ.pop();
            }
        }
        while (!PQ2.empty()) {
            array<ll,3> a0 = PQ2.top(); ll v = -a0[0]; ll x = a0[1]; ll k = a0[2];
            if (v>=mv) {break;}
            if (!found2[k][x]) {
                found2[k][x]=1;
                if (((x-k)>=0)&&(val2[k][x-k]>(1+val2[k][x]))) {
                    val2[k][x-k]=1+val2[k][x];
                    PQ2.push({-val2[k][x-k],(x-k),k});
                }
                if (((x+k)<N)&&(val2[k][x+k]>(1+val2[k][x]))) {
                    val2[k][x+k]=1+val2[k][x];
                    PQ2.push({-val2[k][x+k],(x+k),k});
                }
                if (!found[x]) {
                    if (val2[k][x]<mv) {
                        mv = val2[k][x]; ctr = x; lpop = 1;
                    }
                    break;
                } else {
                    PQ2.pop();
                }
            } else {
                PQ2.pop();
            }
        }
        if (lpop==-1) {
            cout << "-1"; exit(0);
        } else if (ctr==B[1]) {
            ll ans = val[B[1]];
            for (ll k=0;k<K;k++) {
                ans = min(ans,val2[k][B[1]]);
            }
            cout << ans; exit(0);
        } else {
            if (lpop) {
                PQ2.pop();
            } else {
                PQ.pop();
            }
            for (pii x0: doges[ctr]) {
                ll i = x0.first;
                if (P[i]>=K) {
                    for (ll t=(-(B[i]/P[i]+2));t<(((N-B[i])/P[i])+2);t++) {
                        if ((B[i]+t*P[i])>=0 && (B[i]+t*P[i])<N) {
                            if ((mv+(ll)abs(t))<val[(B[i]+t*P[i])]) {
                                val[(B[i]+t*P[i])]=mv+(ll)abs(t);
                                PQ.push({-val[(B[i]+t*P[i])],(B[i]+t*P[i])});
                            }
                        }
                    }
                } else {
                    val2[P[i]][B[i]]=mv;
                    PQ2.push({-mv,B[i],P[i]});
                }
            }
        }
        found[ctr]=1;
    }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 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 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 360 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 604 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 0 ms 1116 KB Output is correct
19 Correct 1 ms 1116 KB Output is correct
20 Correct 2 ms 1372 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 1116 KB Output is correct
23 Correct 2 ms 860 KB Output is correct
24 Correct 1 ms 1116 KB Output is correct
25 Correct 1 ms 1372 KB Output is correct
26 Correct 1 ms 1372 KB Output is correct
27 Correct 1 ms 1372 KB Output is correct
28 Correct 1 ms 1372 KB Output is correct
29 Correct 9 ms 1364 KB Output is correct
30 Correct 2 ms 1116 KB Output is correct
31 Correct 3 ms 1372 KB Output is correct
32 Correct 1 ms 1372 KB Output is correct
33 Correct 7 ms 1500 KB Output is correct
34 Correct 5 ms 1372 KB Output is correct

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 380 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 1156 KB Output is correct
19 Correct 1 ms 1116 KB Output is correct
20 Correct 1 ms 1372 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 1116 KB Output is correct
23 Correct 1 ms 860 KB Output is correct
24 Correct 2 ms 1148 KB Output is correct
25 Correct 1 ms 1372 KB Output is correct
26 Correct 1 ms 1372 KB Output is correct
27 Correct 1 ms 1372 KB Output is correct
28 Correct 2 ms 1372 KB Output is correct
29 Correct 5 ms 1372 KB Output is correct
30 Correct 2 ms 1112 KB Output is correct
31 Correct 4 ms 1372 KB Output is correct
32 Correct 2 ms 1372 KB Output is correct
33 Correct 7 ms 1372 KB Output is correct
34 Correct 4 ms 1368 KB Output is correct
35 Correct 5 ms 2140 KB Output is correct
36 Correct 2 ms 860 KB Output is correct
37 Correct 4 ms 2136 KB Output is correct
38 Correct 9 ms 2652 KB Output is correct
39 Correct 4 ms 2396 KB Output is correct
40 Correct 6 ms 2616 KB Output is correct
41 Correct 6 ms 2560 KB Output is correct
42 Correct 3 ms 2272 KB Output is correct
43 Correct 4 ms 2268 KB Output is correct
44 Correct 9 ms 3308 KB Output is correct
45 Correct 11 ms 2396 KB Output is correct
46 Correct 5 ms 2396 KB Output is correct

Subtask #5
43.0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 428 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 1116 KB Output is correct
19 Correct 1 ms 1116 KB Output is correct
20 Correct 1 ms 1372 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 1116 KB Output is correct
23 Correct 2 ms 1116 KB Output is correct
24 Correct 1 ms 1116 KB Output is correct
25 Correct 1 ms 1372 KB Output is correct
26 Correct 1 ms 1372 KB Output is correct
27 Correct 1 ms 1292 KB Output is correct
28 Correct 1 ms 1372 KB Output is correct
29 Correct 5 ms 1116 KB Output is correct
30 Correct 2 ms 1116 KB Output is correct
31 Correct 3 ms 1376 KB Output is correct
32 Correct 2 ms 1372 KB Output is correct
33 Correct 7 ms 1372 KB Output is correct
34 Correct 5 ms 1496 KB Output is correct
35 Correct 5 ms 2140 KB Output is correct
36 Correct 1 ms 860 KB Output is correct
37 Correct 3 ms 2136 KB Output is correct
38 Correct 6 ms 2652 KB Output is correct
39 Correct 4 ms 2464 KB Output is correct
40 Correct 4 ms 2648 KB Output is correct
41 Correct 6 ms 2628 KB Output is correct
42 Correct 4 ms 2416 KB Output is correct
43 Correct 4 ms 2268 KB Output is correct
44 Correct 6 ms 3308 KB Output is correct
45 Correct 11 ms 2392 KB Output is correct
46 Correct 6 ms 2396 KB Output is correct
47 Correct 17 ms 14560 KB Output is correct
48 Correct 20 ms 33116 KB Output is correct
49 Correct 25 ms 37468 KB Output is correct
50 Correct 25 ms 43012 KB Output is correct
51 Correct 37 ms 48864 KB Output is correct
52 Correct 41 ms 49032 KB Output is correct
53 Correct 31 ms 48276 KB Output is correct
54 Correct 27 ms 46936 KB Output is correct
55 Correct 29 ms 47124 KB Output is correct
56 Correct 32 ms 48464 KB Output is correct
57 Correct 26 ms 47192 KB Output is correct
58 Correct 34 ms 49104 KB Output is correct
59 Correct 31 ms 48092 KB Output is correct
60 Correct 28 ms 48088 KB Output is correct
61 Correct 29 ms 48088 KB Output is correct
62 Correct 55 ms 48512 KB Output is correct
63 Correct 45 ms 49612 KB Output is correct
64 Correct 51 ms 49436 KB Output is correct
65 Correct 166 ms 49616 KB Output is correct
66 Correct 530 ms 49864 KB Output is correct
67 Correct 235 ms 50008 KB Output is correct