oj.uz

Submission #1071462

# Submission time Handle Problem Language Result Execution time Memory
1071462 2024-08-23T07:33:46 Z becaido Sky Walking (IOI19_walk) C++17
57 / 100
 1321 ms 1048576 KB 
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,popcnt,sse4,abm")
#include <bits/stdc++.h>
using namespace std;

#ifndef WAIMAI
#include "walk.h"
#else
#include "grader.cpp"
#endif

#ifdef WAIMAI
#define debug(HEHE...) cout << "[" << #HEHE << "] : ", dout(HEHE)
void dout() {cout << '\n';}
template<typename T, typename...U>
void dout(T t, U...u) {cout << t << (sizeof...(u) ? ", " : ""), dout(u...);}
#else
#define debug(...) 7122
#endif

#define ll long long
#define Waimai ios::sync_with_stdio(false), cin.tie(0)
#define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
#define pb emplace_back
#define F first
#define S second

const ll INF = 1e18;
const int inf = 2e9;
const int SIZE = 1e5 + 5;

int n, m, s, e, sz;
vector<int> y[SIZE];
int x[SIZE], h[SIZE];
vector<pair<int, int>> P, Q;
tuple<int, int, int> a[SIZE];
vector<tuple<int, int, int>> ed;

int get_id(int i, int y) {
    return lower_bound(P.begin(), P.end(), make_pair(i, y)) - P.begin() + 1;
}

set<pair<int, int>> seg;
void split(int p) {
    auto it = prev(seg.lower_bound({p + 1, 0}));
    if (it->F != p) seg.emplace(p, it->S);
}
void upd(int l, int r, int y) {
    split(l), split(r + 1);
    for (auto it = seg.lower_bound({l, 0}); it->F <= r; it = seg.erase(it));
    seg.emplace(l, y);
}
int get_h(int p) {
    auto it = prev(seg.lower_bound({p + 1, 0}));
    return it->S;
}

ll same() {
    seg.emplace(1, 0);
    seg.emplace(n + 1, 0);
    sort(a + 1, a + m + 1);
    FOR (i, 1, n) y[i].pb(0);
    FOR (i, 1, m) {
        auto [h, l, r] = a[i];
        y[l].pb(h), y[r].pb(h);
        y[l].pb(get_h(l));
        y[r].pb(get_h(r));
        upd(l, r, h);
    }
    seg.clear();
    seg.emplace(1, inf);
    seg.emplace(n + 1, inf);
    for (int i = m; i >= 1; i--) {
        auto [h, l, r] = a[i];
        int hl = get_h(l), hr = get_h(r);
        if (hl != inf) y[l].pb(hl);
        if (hr != inf) y[r].pb(hr);
        upd(l, r, h);
    }

    FOR (i, 1, n) {
        sort(y[i].begin(), y[i].end());
        y[i].erase(unique(y[i].begin(), y[i].end()), y[i].end());
        for (int iy : y[i]) P.pb(i, iy), Q.pb(iy, i);
        sz += y[i].size();
    }
    sort(Q.begin(), Q.end());

    vector<ll> dis(sz + 1, INF);
    vector<vector<pair<int, int>>> adj(sz + 1);
    priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>>> pq;
    FOR (i, 1, n) for (int j = 0; j + 1 < y[i].size(); j++) {
        int u = get_id(i, y[i][j]), v = get_id(i, y[i][j + 1]);
        adj[u].pb(v, y[i][j + 1] - y[i][j]);
        adj[v].pb(u, y[i][j + 1] - y[i][j]);
    }
    FOR (i, 1, m) {
        auto [h, l, r] = a[i];
        int j = lower_bound(Q.begin(), Q.end(), make_pair(h, l)) - Q.begin();
        while (Q[j].S < r) {
            int u = get_id(Q[j].S, h), v = get_id(Q[j + 1].S, h), d = x[Q[j + 1].S] - x[Q[j].S];
            adj[u].pb(v, d);
            adj[v].pb(u, d);
            j++;
        }
    }
    s = get_id(s, 0), e = get_id(e, 0);
    pq.emplace(dis[s] = 0, s);
    while (pq.size()) {
        auto [d, pos] = pq.top();
        pq.pop();
        if (d > dis[pos]) continue;
        for (auto [np, w] : adj[pos]) if (d + w < dis[np]) {
            pq.emplace(dis[np] = d + w, np);
        }
    }
    return dis[e] == INF ? -1 : dis[e];
}

ll min_distance(vector<int> _x, vector<int> _h, vector<int> _l, vector<int> _r, vector<int> _y, int _s, int _g) {
    n = _x.size(), m = _l.size();
    s = _s + 1, e = _g + 1;
    FOR (i, 1, n) {
        x[i] = _x[i - 1];
        h[i] = _h[i - 1];
    }
    FOR (i, 1, m) {
        _l[i - 1]++, _r[i - 1]++;
        a[i] = {_y[i - 1], _l[i - 1], _r[i - 1]};
    }

    if (s == 1 && e == n) return same();

    set<int> st;
    FOR (i, 1, n) st.insert(i), y[i].pb(0);
    vector<tuple<int, int, int>> all;
    FOR (i, 1, m) all.pb(a[i]);
    FOR (i, 1, n) all.pb(h[i], x[i], -i);
    sort(all.begin(), all.end(), [&](auto x, auto y) {
        return get<0>(x) != get<0>(y) ? get<0>(x) < get<0>(y) : get<2>(x) > get<2>(y);
    });
    for (auto [a, b, c] : all) {
        if (c < 0) {
            st.erase(-c);
            continue;
        }
        int last = 0;
        for (auto it = st.lower_bound(b); it != st.end() && *it <= c; it++) {
            y[*it].pb(a);
            if (last != 0) ed.pb(last, *it, a);
            last = *it;
        }
    }
    FOR (i, 1, n) {
        sort(y[i].begin(), y[i].end());
        y[i].erase(unique(y[i].begin(), y[i].end()), y[i].end());
        for (int iy : y[i]) P.pb(i, iy);
        sz += y[i].size();
    }
    sort(ed.begin(), ed.end());
    ed.erase(unique(ed.begin(), ed.end()), ed.end());

    vector<ll> dis(sz + 1, INF);
    vector<vector<pair<int, int>>> adj(sz + 1);
    priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>>> pq;
    for (auto [i, j, y] : ed) {
        int u = get_id(i, y), v = get_id(j, y);
        adj[u].pb(v, x[j] - x[i]);
        adj[v].pb(u, x[j] - x[i]);
    }
    FOR (i, 1, n) for (int j = 0; j + 1 < y[i].size(); j++) {
        int u = get_id(i, y[i][j]), v = get_id(i, y[i][j + 1]);
        adj[u].pb(v, y[i][j + 1] - y[i][j]);
        adj[v].pb(u, y[i][j + 1] - y[i][j]);
    }
    s = get_id(s, 0), e = get_id(e, 0);
    pq.emplace(dis[s] = 0, s);
    while (pq.size()) {
        auto [d, pos] = pq.top();
        pq.pop();
        if (d > dis[pos]) continue;
        for (auto [np, w] : adj[pos]) if (d + w < dis[np]) {
            pq.emplace(dis[np] = d + w, np);
        }
    }
    return dis[e] == INF ? -1 : dis[e];
}

/*
in1
7 7
0 8
3 7
5 9
7 7
10 6
12 6
14 9
0 1 1
0 2 6
0 6 8
2 3 1
2 6 7
3 4 2
4 6 5
1 5
out1
27

in2
5 3
0 6
4 6
5 6
6 6
9 6
3 4 1
1 3 3
0 2 6
0 4
out2
21
*/

Compilation message

walk.cpp: In function 'long long int same()':
walk.cpp:92:41: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   92 |     FOR (i, 1, n) for (int j = 0; j + 1 < y[i].size(); j++) {
      |                                   ~~~~~~^~~~~~~~~~~~~
walk.cpp: In function 'long long int min_distance(std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, int, int)':
walk.cpp:171:41: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  171 |     FOR (i, 1, n) for (int j = 0; j + 1 < y[i].size(); j++) {
      |                                   ~~~~~~^~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 2 ms 4444 KB Output is correct
5 Correct 1 ms 4616 KB Output is correct
6 Correct 1 ms 4700 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 2 ms 4700 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 2 ms 4444 KB Output is correct
14 Correct 2 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4612 KB Output is correct
17 Correct 1 ms 4532 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 464 ms 84576 KB Output is correct
4 Correct 581 ms 98492 KB Output is correct
5 Correct 358 ms 86716 KB Output is correct
6 Correct 332 ms 78268 KB Output is correct
7 Correct 362 ms 87036 KB Output is correct
8 Correct 620 ms 106428 KB Output is correct
9 Correct 436 ms 82764 KB Output is correct
10 Correct 822 ms 126904 KB Output is correct
11 Correct 296 ms 50440 KB Output is correct
12 Correct 475 ms 49836 KB Output is correct
13 Correct 783 ms 78628 KB Output is correct
14 Correct 186 ms 41036 KB Output is correct
15 Correct 179 ms 41444 KB Output is correct
16 Correct 161 ms 42180 KB Output is correct
17 Correct 180 ms 40824 KB Output is correct
18 Correct 200 ms 45840 KB Output is correct
19 Correct 8 ms 6336 KB Output is correct
20 Correct 86 ms 22984 KB Output is correct
21 Correct 285 ms 47892 KB Output is correct
22 Correct 351 ms 61804 KB Output is correct
23 Correct 365 ms 64392 KB Output is correct
24 Correct 274 ms 55976 KB Output is correct
25 Correct 359 ms 51440 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 104 ms 15252 KB Output is correct
2 Correct 628 ms 65936 KB Output is correct
3 Correct 678 ms 70296 KB Output is correct
4 Correct 847 ms 83692 KB Output is correct
5 Correct 838 ms 87708 KB Output is correct
6 Correct 691 ms 83360 KB Output is correct
7 Correct 414 ms 50344 KB Output is correct
8 Correct 407 ms 47532 KB Output is correct
9 Correct 598 ms 78156 KB Output is correct
10 Correct 239 ms 52656 KB Output is correct
11 Correct 15 ms 9424 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 104 ms 15252 KB Output is correct
2 Correct 628 ms 65936 KB Output is correct
3 Correct 678 ms 70296 KB Output is correct
4 Correct 847 ms 83692 KB Output is correct
5 Correct 838 ms 87708 KB Output is correct
6 Correct 691 ms 83360 KB Output is correct
7 Correct 414 ms 50344 KB Output is correct
8 Correct 407 ms 47532 KB Output is correct
9 Correct 598 ms 78156 KB Output is correct
10 Correct 239 ms 52656 KB Output is correct
11 Correct 15 ms 9424 KB Output is correct
12 Correct 582 ms 70296 KB Output is correct
13 Correct 584 ms 81052 KB Output is correct
14 Correct 691 ms 85656 KB Output is correct
15 Correct 523 ms 75596 KB Output is correct
16 Correct 499 ms 73884 KB Output is correct
17 Correct 629 ms 89332 KB Output is correct
18 Correct 489 ms 74564 KB Output is correct
19 Correct 505 ms 75416 KB Output is correct
20 Correct 353 ms 47784 KB Output is correct
21 Correct 28 ms 14528 KB Output is correct
22 Correct 581 ms 71604 KB Output is correct
23 Correct 557 ms 70780 KB Output is correct
24 Correct 452 ms 57412 KB Output is correct
25 Correct 559 ms 64352 KB Output is correct
26 Correct 391 ms 56656 KB Output is correct
27 Correct 755 ms 86000 KB Output is correct
28 Correct 661 ms 86172 KB Output is correct
29 Correct 701 ms 79996 KB Output is correct
30 Correct 391 ms 49896 KB Output is correct
31 Correct 610 ms 76996 KB Output is correct
32 Correct 238 ms 48592 KB Output is correct
33 Correct 286 ms 53736 KB Output is correct
34 Correct 307 ms 54188 KB Output is correct
35 Correct 336 ms 57216 KB Output is correct
36 Correct 321 ms 50856 KB Output is correct
37 Correct 256 ms 45664 KB Output is correct
38 Correct 284 ms 58880 KB Output is correct
39 Correct 332 ms 60732 KB Output is correct
40 Correct 267 ms 53524 KB Output is correct
41 Correct 283 ms 48296 KB Output is correct

Subtask #5
0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 2 ms 4444 KB Output is correct
5 Correct 1 ms 4616 KB Output is correct
6 Correct 1 ms 4700 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 2 ms 4700 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 2 ms 4444 KB Output is correct
14 Correct 2 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4612 KB Output is correct
17 Correct 1 ms 4532 KB Output is correct
18 Correct 1 ms 4440 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 464 ms 84576 KB Output is correct
21 Correct 581 ms 98492 KB Output is correct
22 Correct 358 ms 86716 KB Output is correct
23 Correct 332 ms 78268 KB Output is correct
24 Correct 362 ms 87036 KB Output is correct
25 Correct 620 ms 106428 KB Output is correct
26 Correct 436 ms 82764 KB Output is correct
27 Correct 822 ms 126904 KB Output is correct
28 Correct 296 ms 50440 KB Output is correct
29 Correct 475 ms 49836 KB Output is correct
30 Correct 783 ms 78628 KB Output is correct
31 Correct 186 ms 41036 KB Output is correct
32 Correct 179 ms 41444 KB Output is correct
33 Correct 161 ms 42180 KB Output is correct
34 Correct 180 ms 40824 KB Output is correct
35 Correct 200 ms 45840 KB Output is correct
36 Correct 8 ms 6336 KB Output is correct
37 Correct 86 ms 22984 KB Output is correct
38 Correct 285 ms 47892 KB Output is correct
39 Correct 351 ms 61804 KB Output is correct
40 Correct 365 ms 64392 KB Output is correct
41 Correct 274 ms 55976 KB Output is correct
42 Correct 359 ms 51440 KB Output is correct
43 Correct 104 ms 15252 KB Output is correct
44 Correct 628 ms 65936 KB Output is correct
45 Correct 678 ms 70296 KB Output is correct
46 Correct 847 ms 83692 KB Output is correct
47 Correct 838 ms 87708 KB Output is correct
48 Correct 691 ms 83360 KB Output is correct
49 Correct 414 ms 50344 KB Output is correct
50 Correct 407 ms 47532 KB Output is correct
51 Correct 598 ms 78156 KB Output is correct
52 Correct 239 ms 52656 KB Output is correct
53 Correct 15 ms 9424 KB Output is correct
54 Correct 582 ms 70296 KB Output is correct
55 Correct 584 ms 81052 KB Output is correct
56 Correct 691 ms 85656 KB Output is correct
57 Correct 523 ms 75596 KB Output is correct
58 Correct 499 ms 73884 KB Output is correct
59 Correct 629 ms 89332 KB Output is correct
60 Correct 489 ms 74564 KB Output is correct
61 Correct 505 ms 75416 KB Output is correct
62 Correct 353 ms 47784 KB Output is correct
63 Correct 28 ms 14528 KB Output is correct
64 Correct 581 ms 71604 KB Output is correct
65 Correct 557 ms 70780 KB Output is correct
66 Correct 452 ms 57412 KB Output is correct
67 Correct 559 ms 64352 KB Output is correct
68 Correct 391 ms 56656 KB Output is correct
69 Correct 755 ms 86000 KB Output is correct
70 Correct 661 ms 86172 KB Output is correct
71 Correct 701 ms 79996 KB Output is correct
72 Correct 391 ms 49896 KB Output is correct
73 Correct 610 ms 76996 KB Output is correct
74 Correct 238 ms 48592 KB Output is correct
75 Correct 286 ms 53736 KB Output is correct
76 Correct 307 ms 54188 KB Output is correct
77 Correct 336 ms 57216 KB Output is correct
78 Correct 321 ms 50856 KB Output is correct
79 Correct 256 ms 45664 KB Output is correct
80 Correct 284 ms 58880 KB Output is correct
81 Correct 332 ms 60732 KB Output is correct
82 Correct 267 ms 53524 KB Output is correct
83 Correct 283 ms 48296 KB Output is correct
84 Correct 42 ms 13776 KB Output is correct
85 Runtime error 1321 ms 1048576 KB Execution killed with signal 9
86 Halted 0 ms 0 KB -