oj.uz

Submission #406997

# Submission time Handle Problem Language Result Execution time Memory
406997 2021-05-18T10:02:18 Z tranxuanbach Jakarta Skyscrapers (APIO15_skyscraper) C++17
100 / 100
 865 ms 55552 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;

#define endl '\n'
#define fi first
#define se second
#define For(i, l, r) for (int i = l; i < r; i++)
#define ForE(i, l, r) for (int i = l; i <= r; i++)
#define FordE(i, l, r) for (int i = l; i >= r; i--)
#define Fora(v, a) for (auto v: a)
#define bend(a) a.begin(), a.end()
#define isz(a) ((signed)a.size())

typedef long long ll;
typedef long double ld;
typedef pair <int, int> pii;
typedef vector <int> vi;
typedef vector <pii> vpii;
typedef vector <vi> vvi;

const int N = 3e4 + 5, S = sqrt(N) + 1;

struct Node{
    int d, u, j;

    Node(int d = 0, int u = 0, int j = 0): d(d), u(u), j(j){

    }
};

bool operator< (const Node& lhs, const Node& rhs){
    if (lhs.d != rhs.d) return lhs.d < rhs.d;
    if (lhs.u != rhs.u) return lhs.u < rhs.u;
    return lhs.j < rhs.j;
}

bool operator> (const Node& lhs, const Node& rhs){
    if (lhs.d != rhs.d) return lhs.d > rhs.d;
    if (lhs.u != rhs.u) return lhs.u > rhs.u;
    return lhs.j > rhs.j;
}

int n, m;
int b[N], p[N];
vi pos[N]; // cac doge j co b_j = i
vpii adj[N]; // cac canh i ma p_i > S - 1
int dist[N][S]; // j = 1 -> S - 1: jump length j, j = 0: other jump
priority_queue <Node, vector <Node>, greater <Node>> pq;

signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    // freopen("KEK.inp", "r", stdin);
    // freopen("KEK.out", "w", stdout);
    cin >> n >> m;
    For(i, 0, m){
        cin >> b[i] >> p[i];
    }
    For(i, 0, m){
        if (p[i] > S - 1){
            int u, d;
            u = b[i] + p[i]; d = 1;
            while (u < n){
                adj[b[i]].emplace_back(u, d);
                u += p[i]; d++;
            }
            u = b[i] - p[i]; d = 1;
            while (u >= 0){
                adj[b[i]].emplace_back(u, d);
                u -= p[i]; d++;
            }
        }
        else{
            pos[b[i]].emplace_back(p[i]);
        }
    }
    memset(dist, 0x3f, sizeof(dist));
    dist[b[0]][0] = 0;
    pq.push(Node(dist[b[0]][0], b[0], 0));
    while (!pq.empty()){
        Node t = pq.top(); pq.pop();
        if (dist[t.u][t.j] != t.d){
            continue;
        }
        if (t.u == b[1]){
            cout << t.d << endl;
            return 0;
        }
        if (t.j){
            if (dist[t.u][0] > t.d){
                dist[t.u][0] = t.d;
                pq.push(Node(dist[t.u][0], t.u, 0));
            }
            if (t.u + t.j < n and dist[t.u + t.j][t.j] > t.d + 1){
                dist[t.u + t.j][t.j] = t.d + 1;
                pq.push(Node(dist[t.u + t.j][t.j], t.u + t.j, t.j));
            }
            if (t.u - t.j >= 0 and dist[t.u - t.j][t.j] > t.d + 1){
                dist[t.u - t.j][t.j] = t.d + 1;
                pq.push(Node(dist[t.u - t.j][t.j], t.u - t.j, t.j));
            }
        }
        else{
            Fora(&edge, adj[t.u]){
                if (dist[edge.fi][0] > t.d + edge.se){
                    dist[edge.fi][0] = t.d + edge.se;
                    pq.push(Node(dist[edge.fi][0], edge.fi, 0));
                }
            }
            Fora(&idx, pos[t.u]){
                if (dist[t.u][idx] > t.d){
                    dist[t.u][idx] = t.d;
                    pq.push(Node(dist[t.u][idx], t.u, idx));
                }
            }
        }
    }
    cout << -1 << endl;
}

/*
n dinh, m con doge. doge thu i bat dau tu b_i, nhay sang trai/phai p_i buoc. hoi khoang cach nho nhat nhay tu doge 0 sang 1.
neu nhu p_i <= S - 2: bfs trong dist[u][p_i]
ngoai ra: nhay giua cac dinh vi co toi da N / S dinh den duoc
n * sqrt(n) * log ~ 5e6 * log, co the qua
co the toi uu thanh n * s duoc ko = bfs thay dijkstra???
cu thu dijkstra truoc thoi :pray:
==================================================+
INPUT:                                            |
--------------------------------------------------|

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OUTPUT:                                           |
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--------------------------------------------------|
==================================================+
*/

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 22092 KB Output is correct
2 Correct 10 ms 22124 KB Output is correct
3 Correct 10 ms 22152 KB Output is correct
4 Correct 10 ms 22092 KB Output is correct
5 Correct 10 ms 22092 KB Output is correct
6 Correct 10 ms 22112 KB Output is correct
7 Correct 11 ms 22188 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 22092 KB Output is correct
2 Correct 11 ms 22092 KB Output is correct
3 Correct 10 ms 22092 KB Output is correct
4 Correct 11 ms 22116 KB Output is correct
5 Correct 11 ms 22068 KB Output is correct
6 Correct 10 ms 22092 KB Output is correct
7 Correct 13 ms 22164 KB Output is correct
8 Correct 11 ms 22084 KB Output is correct
9 Correct 11 ms 22096 KB Output is correct
10 Correct 10 ms 22092 KB Output is correct
11 Correct 11 ms 22220 KB Output is correct
12 Correct 11 ms 22192 KB Output is correct
13 Correct 11 ms 22200 KB Output is correct
14 Correct 12 ms 22264 KB Output is correct
15 Correct 12 ms 22220 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 22092 KB Output is correct
2 Correct 12 ms 22096 KB Output is correct
3 Correct 10 ms 22092 KB Output is correct
4 Correct 11 ms 22084 KB Output is correct
5 Correct 12 ms 22100 KB Output is correct
6 Correct 11 ms 22092 KB Output is correct
7 Correct 11 ms 22092 KB Output is correct
8 Correct 11 ms 22056 KB Output is correct
9 Correct 10 ms 22092 KB Output is correct
10 Correct 10 ms 22092 KB Output is correct
11 Correct 12 ms 22168 KB Output is correct
12 Correct 13 ms 22092 KB Output is correct
13 Correct 11 ms 22172 KB Output is correct
14 Correct 11 ms 22224 KB Output is correct
15 Correct 11 ms 22220 KB Output is correct
16 Correct 11 ms 22092 KB Output is correct
17 Correct 11 ms 22196 KB Output is correct
18 Correct 10 ms 22096 KB Output is correct
19 Correct 10 ms 22092 KB Output is correct
20 Correct 11 ms 22220 KB Output is correct
21 Correct 11 ms 22096 KB Output is correct
22 Correct 11 ms 22072 KB Output is correct
23 Correct 12 ms 22144 KB Output is correct
24 Correct 12 ms 22220 KB Output is correct
25 Correct 11 ms 22216 KB Output is correct
26 Correct 12 ms 22100 KB Output is correct
27 Correct 13 ms 22132 KB Output is correct
28 Correct 13 ms 22212 KB Output is correct
29 Correct 16 ms 22088 KB Output is correct
30 Correct 12 ms 22172 KB Output is correct
31 Correct 14 ms 22204 KB Output is correct
32 Correct 13 ms 22092 KB Output is correct
33 Correct 23 ms 22220 KB Output is correct
34 Correct 18 ms 22256 KB Output is correct

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 22088 KB Output is correct
2 Correct 11 ms 22092 KB Output is correct
3 Correct 11 ms 22112 KB Output is correct
4 Correct 12 ms 22092 KB Output is correct
5 Correct 11 ms 22088 KB Output is correct
6 Correct 11 ms 22128 KB Output is correct
7 Correct 10 ms 22092 KB Output is correct
8 Correct 11 ms 22092 KB Output is correct
9 Correct 10 ms 22084 KB Output is correct
10 Correct 11 ms 22076 KB Output is correct
11 Correct 11 ms 22092 KB Output is correct
12 Correct 11 ms 22124 KB Output is correct
13 Correct 11 ms 22092 KB Output is correct
14 Correct 11 ms 22220 KB Output is correct
15 Correct 12 ms 22220 KB Output is correct
16 Correct 10 ms 22092 KB Output is correct
17 Correct 11 ms 22152 KB Output is correct
18 Correct 11 ms 22100 KB Output is correct
19 Correct 10 ms 22092 KB Output is correct
20 Correct 11 ms 22228 KB Output is correct
21 Correct 11 ms 22116 KB Output is correct
22 Correct 10 ms 22092 KB Output is correct
23 Correct 11 ms 22092 KB Output is correct
24 Correct 12 ms 22220 KB Output is correct
25 Correct 11 ms 22128 KB Output is correct
26 Correct 11 ms 22100 KB Output is correct
27 Correct 12 ms 22220 KB Output is correct
28 Correct 12 ms 22220 KB Output is correct
29 Correct 16 ms 22092 KB Output is correct
30 Correct 13 ms 22088 KB Output is correct
31 Correct 14 ms 22092 KB Output is correct
32 Correct 13 ms 22196 KB Output is correct
33 Correct 23 ms 22260 KB Output is correct
34 Correct 20 ms 22208 KB Output is correct
35 Correct 21 ms 22924 KB Output is correct
36 Correct 12 ms 22220 KB Output is correct
37 Correct 18 ms 23376 KB Output is correct
38 Correct 19 ms 23380 KB Output is correct
39 Correct 19 ms 23336 KB Output is correct
40 Correct 18 ms 23328 KB Output is correct
41 Correct 19 ms 23372 KB Output is correct
42 Correct 17 ms 22732 KB Output is correct
43 Correct 16 ms 22732 KB Output is correct
44 Correct 16 ms 22752 KB Output is correct
45 Correct 65 ms 24984 KB Output is correct
46 Correct 42 ms 25064 KB Output is correct

Subtask #5
43.0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 22092 KB Output is correct
2 Correct 10 ms 22064 KB Output is correct
3 Correct 10 ms 22124 KB Output is correct
4 Correct 11 ms 22092 KB Output is correct
5 Correct 10 ms 22088 KB Output is correct
6 Correct 11 ms 22092 KB Output is correct
7 Correct 13 ms 22044 KB Output is correct
8 Correct 11 ms 22076 KB Output is correct
9 Correct 11 ms 22092 KB Output is correct
10 Correct 11 ms 22092 KB Output is correct
11 Correct 11 ms 22092 KB Output is correct
12 Correct 11 ms 22092 KB Output is correct
13 Correct 10 ms 22092 KB Output is correct
14 Correct 13 ms 22204 KB Output is correct
15 Correct 12 ms 22136 KB Output is correct
16 Correct 11 ms 22092 KB Output is correct
17 Correct 11 ms 22220 KB Output is correct
18 Correct 11 ms 22092 KB Output is correct
19 Correct 11 ms 22092 KB Output is correct
20 Correct 11 ms 22196 KB Output is correct
21 Correct 11 ms 22092 KB Output is correct
22 Correct 11 ms 22092 KB Output is correct
23 Correct 12 ms 22172 KB Output is correct
24 Correct 14 ms 22164 KB Output is correct
25 Correct 11 ms 22188 KB Output is correct
26 Correct 11 ms 22092 KB Output is correct
27 Correct 11 ms 22100 KB Output is correct
28 Correct 12 ms 22220 KB Output is correct
29 Correct 17 ms 22092 KB Output is correct
30 Correct 12 ms 22092 KB Output is correct
31 Correct 14 ms 22092 KB Output is correct
32 Correct 13 ms 22092 KB Output is correct
33 Correct 23 ms 22252 KB Output is correct
34 Correct 19 ms 22220 KB Output is correct
35 Correct 18 ms 22988 KB Output is correct
36 Correct 12 ms 22240 KB Output is correct
37 Correct 17 ms 23320 KB Output is correct
38 Correct 19 ms 23376 KB Output is correct
39 Correct 22 ms 23232 KB Output is correct
40 Correct 18 ms 23348 KB Output is correct
41 Correct 20 ms 23332 KB Output is correct
42 Correct 16 ms 22852 KB Output is correct
43 Correct 16 ms 22748 KB Output is correct
44 Correct 16 ms 22732 KB Output is correct
45 Correct 66 ms 24984 KB Output is correct
46 Correct 40 ms 25044 KB Output is correct
47 Correct 28 ms 26788 KB Output is correct
48 Correct 18 ms 23628 KB Output is correct
49 Correct 19 ms 23380 KB Output is correct
50 Correct 15 ms 23180 KB Output is correct
51 Correct 30 ms 24852 KB Output is correct
52 Correct 30 ms 24836 KB Output is correct
53 Correct 17 ms 22848 KB Output is correct
54 Correct 11 ms 22092 KB Output is correct
55 Correct 11 ms 22072 KB Output is correct
56 Correct 21 ms 23500 KB Output is correct
57 Correct 11 ms 22176 KB Output is correct
58 Correct 18 ms 22732 KB Output is correct
59 Correct 19 ms 22860 KB Output is correct
60 Correct 19 ms 23124 KB Output is correct
61 Correct 19 ms 23036 KB Output is correct
62 Correct 48 ms 25160 KB Output is correct
63 Correct 93 ms 47760 KB Output is correct
64 Correct 97 ms 55552 KB Output is correct
65 Correct 326 ms 54136 KB Output is correct
66 Correct 865 ms 49676 KB Output is correct
67 Correct 518 ms 49652 KB Output is correct