oj.uz

Submission #782264

# Submission time Handle Problem Language Result Execution time Memory
782264 2023-07-13T16:56:51 Z lukameladze Ancient Books (IOI17_books) C++17
100 / 100
 780 ms 158056 KB 
#include "books.h"
#include <bits/stdc++.h>
using namespace std;
#define f first
#define s second
#define ll long long
#define pii pair <int, int>
#define pb push_back
const int N = 1e6 + 5,inf = 1e9;
int n, p[N],fix[N],l[N],r[N],cur,pr[N],idx[N],cnt,opp[N];
int tree[3][4 * N];
void build(int node, int le, int ri) {
    if (le == ri) {
        if (opp[le] && opp[le] >= le) tree[0][node] = opp[le];
        if (opp[le] && opp[le] <= le) tree[1][node] = opp[le];
        return ;
    }
    int mid = (le + ri) / 2;
    build(2 * node, le, mid);
    build(2 * node + 1, mid + 1, ri);
    tree[0][node] = max(tree[0][2 * node], tree[0][2 * node + 1]);
    tree[1][node] = min(tree[1][2 * node], tree[1][2 * node + 1]);
}
void update(int node, int le, int ri, int idx, int val, int ty) {
    if (le > idx || ri < idx) return ;
    if (le == ri) {
        tree[ty][node] = val;
        return ;
    }
    int mid = (le + ri) / 2;
    update(2 * node, le, mid, idx, val, ty);
    update(2 * node + 1, mid + 1, ri, idx, val, ty);
    tree[0][node] = max(tree[0][2 * node], tree[0][2 * node + 1]);
    tree[1][node] = min(tree[1][2 * node], tree[1][2 * node + 1]);
}
int getans(int node, int le, int ri, int start, int end, int ty) {
    if (le > end || ri < start) {
        return (ty == 0 ? -inf : inf);
    }
    if (le >= start && ri <= end) return tree[ty][node];
    int mid = (le + ri) / 2;
    int p1 = getans(2 * node, le, mid, start, end, ty);
    int p2 = getans(2 * node + 1, mid + 1, ri, start, end, ty);
    return (ty == 0 ? max(p1, p2) : min(p1, p2));
}
vector <pii> g[N];
void add_edge(int a, int b, int c) {
    g[a].pb({b, c});
    g[b].pb({a, c});
}
int dist[N];
int bfs01(int s, int l, int r) {
    deque < int > dq;
    for (int i = 1; i <= n; i++) {
        dist[i] = inf;
    }
    dist[s] = 0;
    dq.pb(s);
    while (!dq.empty()) {
        int vert = dq[0];
        if (vert == l || vert == r) return dist[vert];
        dq.pop_front();
        for (pii sth : g[vert]) {
            int to = sth.f, c = sth.s;
            if (dist[to] > dist[vert] + c) {
                dist[to] = dist[vert] + c;
                if (c == 0) dq.push_front(to);
                else dq.push_back(to);
            }
        }
    }
    assert(false);
}
long long minimum_walk(vector<int> perm, int s) {
    s++;
    n = perm.size();
    long long ans = 0;
    for (int i = 1; i <= n; i++) {
        p[i] = perm[i - 1] + 1;
        ans += (ll)abs(i - p[i]);
    }

    int frst_id = -1, lst_id = -1;
    for (int i = 1; i <= n ;i++) {
        if (p[i] != i && frst_id == -1) frst_id = i;
        if (p[i] != i) lst_id = i;
    }
    if (frst_id == -1) {
        return 0;
    }
    vector <pii> segs;
    for (int i = 1; i <= n; i++) {
        int cur = p[i];
        if (!fix[i]) {
            fix[i] = 1;
            idx[i] = ++cnt;
            l[cnt] = r[cnt] = i;
            vector <int> vec;
            vec.pb(i);
            while (cur != i) {
                vec.pb(cur);
                fix[cur] = 1;
                l[cnt] = min(l[cnt], cur);
                r[cnt] = max(r[cnt], cur);
                cur = p[cur];
            }
            sort(vec.begin(), vec.end());
            for (int i = 1; i < (int)vec.size(); i++) {
                add_edge(vec[i], vec[i - 1], 0);
                segs.pb({vec[i - 1], vec[i]});
            }
            opp[l[cnt]] = r[cnt];
            opp[r[cnt]] = l[cnt];
            pr[l[cnt]]++;
            pr[r[cnt]]--;
        }
    }
    for (int i = 1; i <= n; i++) {
        pr[i] += pr[i - 1];
    }
    for (int i = 1; i <= n; i++) {
        if (pr[i] == 0 && i < lst_id && i >= frst_id) ans += 2;
        else {
            if (pr[i] == 0 && s <= i && i < lst_id) ans += 2;
            else if (pr[i] == 0 && s > i && i >= frst_id) ans += 2;
        }
    }
    for (int i = 1; i < n; i++) {
        add_edge(i, i + 1, 1);
    }
    int posi = s, posj = s;
    sort(segs.begin(), segs.end());
    build(1, 1, n);
    for (pii sth : segs) {
        int l = sth.f, r = sth.s;
        // Left E [l + 1, r - 1]   maximum Right
        int mx = getans(1, 1, n, l + 1, r - 1, 0);
        if (mx > r) {
            add_edge(l, mx, 0);
        }
        // Right E [l + 1, r - 1], minimum left 
        int mn = getans(1, 1, n, l + 1, r - 1, 1);
        if (mn < l) {
            add_edge(r, mn, 0);
        }
    }
    int lid = 1, rid = n;
    for (int i = 0; i < s; i++) {
        if (!pr[i]) lid = i + 1;
    }
    for (int i = s; i <= n; i++) {
        if (!pr[i]) { rid = i; break; }
    }
    int to_add = bfs01(s, lid, rid);
    ans += (ll)2 * (ll)to_add;
	return ans;
}

Compilation message

books.cpp: In function 'long long int minimum_walk(std::vector<int>, int)':
books.cpp:131:9: warning: unused variable 'posi' [-Wunused-variable]
  131 |     int posi = s, posj = s;
      |         ^~~~
books.cpp:131:19: warning: unused variable 'posj' [-Wunused-variable]
  131 |     int posi = s, posj = s;
      |                   ^~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 12 ms 23832 KB Output is correct
3 Correct 11 ms 23868 KB Output is correct
4 Correct 11 ms 23764 KB Output is correct
5 Correct 11 ms 23764 KB Output is correct
6 Correct 11 ms 23840 KB Output is correct
7 Correct 11 ms 23764 KB Output is correct
8 Correct 12 ms 23764 KB Output is correct
9 Correct 12 ms 23692 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23748 KB Output is correct
12 Correct 12 ms 23848 KB Output is correct
13 Correct 12 ms 23764 KB Output is correct
14 Correct 11 ms 23764 KB Output is correct
15 Correct 13 ms 23752 KB Output is correct
16 Correct 14 ms 23892 KB Output is correct
17 Correct 12 ms 23744 KB Output is correct
18 Correct 13 ms 23764 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 12 ms 23832 KB Output is correct
3 Correct 11 ms 23868 KB Output is correct
4 Correct 11 ms 23764 KB Output is correct
5 Correct 11 ms 23764 KB Output is correct
6 Correct 11 ms 23840 KB Output is correct
7 Correct 11 ms 23764 KB Output is correct
8 Correct 12 ms 23764 KB Output is correct
9 Correct 12 ms 23692 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23748 KB Output is correct
12 Correct 12 ms 23848 KB Output is correct
13 Correct 12 ms 23764 KB Output is correct
14 Correct 11 ms 23764 KB Output is correct
15 Correct 13 ms 23752 KB Output is correct
16 Correct 14 ms 23892 KB Output is correct
17 Correct 12 ms 23744 KB Output is correct
18 Correct 13 ms 23764 KB Output is correct
19 Correct 12 ms 23892 KB Output is correct
20 Correct 12 ms 23932 KB Output is correct
21 Correct 11 ms 23764 KB Output is correct
22 Correct 12 ms 23892 KB Output is correct
23 Correct 12 ms 23932 KB Output is correct
24 Correct 12 ms 23892 KB Output is correct
25 Correct 11 ms 23892 KB Output is correct
26 Correct 13 ms 23892 KB Output is correct
27 Correct 12 ms 23892 KB Output is correct
28 Correct 13 ms 23916 KB Output is correct
29 Correct 12 ms 23892 KB Output is correct

Subtask #3
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 12 ms 23832 KB Output is correct
3 Correct 11 ms 23868 KB Output is correct
4 Correct 11 ms 23764 KB Output is correct
5 Correct 11 ms 23764 KB Output is correct
6 Correct 11 ms 23840 KB Output is correct
7 Correct 11 ms 23764 KB Output is correct
8 Correct 12 ms 23764 KB Output is correct
9 Correct 12 ms 23692 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23748 KB Output is correct
12 Correct 12 ms 23848 KB Output is correct
13 Correct 12 ms 23764 KB Output is correct
14 Correct 11 ms 23764 KB Output is correct
15 Correct 13 ms 23752 KB Output is correct
16 Correct 14 ms 23892 KB Output is correct
17 Correct 12 ms 23744 KB Output is correct
18 Correct 13 ms 23764 KB Output is correct
19 Correct 12 ms 23892 KB Output is correct
20 Correct 12 ms 23932 KB Output is correct
21 Correct 11 ms 23764 KB Output is correct
22 Correct 12 ms 23892 KB Output is correct
23 Correct 12 ms 23932 KB Output is correct
24 Correct 12 ms 23892 KB Output is correct
25 Correct 11 ms 23892 KB Output is correct
26 Correct 13 ms 23892 KB Output is correct
27 Correct 12 ms 23892 KB Output is correct
28 Correct 13 ms 23916 KB Output is correct
29 Correct 12 ms 23892 KB Output is correct
30 Correct 711 ms 136100 KB Output is correct
31 Correct 761 ms 152156 KB Output is correct
32 Correct 91 ms 42188 KB Output is correct
33 Correct 345 ms 127028 KB Output is correct
34 Correct 340 ms 126884 KB Output is correct
35 Correct 436 ms 135220 KB Output is correct
36 Correct 569 ms 149268 KB Output is correct
37 Correct 669 ms 157640 KB Output is correct
38 Correct 689 ms 156116 KB Output is correct
39 Correct 706 ms 155676 KB Output is correct
40 Correct 695 ms 145544 KB Output is correct
41 Correct 703 ms 137368 KB Output is correct
42 Correct 706 ms 149624 KB Output is correct
43 Correct 375 ms 129448 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23892 KB Output is correct
2 Correct 12 ms 23932 KB Output is correct
3 Correct 12 ms 23892 KB Output is correct
4 Correct 11 ms 23860 KB Output is correct
5 Correct 12 ms 23908 KB Output is correct
6 Correct 12 ms 23892 KB Output is correct
7 Correct 12 ms 23892 KB Output is correct
8 Correct 12 ms 23920 KB Output is correct
9 Correct 14 ms 23948 KB Output is correct
10 Correct 11 ms 23764 KB Output is correct
11 Correct 12 ms 23892 KB Output is correct
12 Correct 14 ms 23916 KB Output is correct
13 Correct 12 ms 23892 KB Output is correct
14 Correct 12 ms 23928 KB Output is correct
15 Correct 12 ms 23892 KB Output is correct
16 Correct 12 ms 23980 KB Output is correct
17 Correct 12 ms 23888 KB Output is correct
18 Correct 12 ms 23868 KB Output is correct
19 Correct 13 ms 23892 KB Output is correct
20 Correct 11 ms 24020 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 12 ms 23832 KB Output is correct
3 Correct 11 ms 23868 KB Output is correct
4 Correct 11 ms 23764 KB Output is correct
5 Correct 11 ms 23764 KB Output is correct
6 Correct 11 ms 23840 KB Output is correct
7 Correct 11 ms 23764 KB Output is correct
8 Correct 12 ms 23764 KB Output is correct
9 Correct 12 ms 23692 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23748 KB Output is correct
12 Correct 12 ms 23848 KB Output is correct
13 Correct 12 ms 23764 KB Output is correct
14 Correct 11 ms 23764 KB Output is correct
15 Correct 13 ms 23752 KB Output is correct
16 Correct 14 ms 23892 KB Output is correct
17 Correct 12 ms 23744 KB Output is correct
18 Correct 13 ms 23764 KB Output is correct
19 Correct 12 ms 23892 KB Output is correct
20 Correct 12 ms 23932 KB Output is correct
21 Correct 11 ms 23764 KB Output is correct
22 Correct 12 ms 23892 KB Output is correct
23 Correct 12 ms 23932 KB Output is correct
24 Correct 12 ms 23892 KB Output is correct
25 Correct 11 ms 23892 KB Output is correct
26 Correct 13 ms 23892 KB Output is correct
27 Correct 12 ms 23892 KB Output is correct
28 Correct 13 ms 23916 KB Output is correct
29 Correct 12 ms 23892 KB Output is correct
30 Correct 711 ms 136100 KB Output is correct
31 Correct 761 ms 152156 KB Output is correct
32 Correct 91 ms 42188 KB Output is correct
33 Correct 345 ms 127028 KB Output is correct
34 Correct 340 ms 126884 KB Output is correct
35 Correct 436 ms 135220 KB Output is correct
36 Correct 569 ms 149268 KB Output is correct
37 Correct 669 ms 157640 KB Output is correct
38 Correct 689 ms 156116 KB Output is correct
39 Correct 706 ms 155676 KB Output is correct
40 Correct 695 ms 145544 KB Output is correct
41 Correct 703 ms 137368 KB Output is correct
42 Correct 706 ms 149624 KB Output is correct
43 Correct 375 ms 129448 KB Output is correct
44 Correct 12 ms 23892 KB Output is correct
45 Correct 12 ms 23932 KB Output is correct
46 Correct 12 ms 23892 KB Output is correct
47 Correct 11 ms 23860 KB Output is correct
48 Correct 12 ms 23908 KB Output is correct
49 Correct 12 ms 23892 KB Output is correct
50 Correct 12 ms 23892 KB Output is correct
51 Correct 12 ms 23920 KB Output is correct
52 Correct 14 ms 23948 KB Output is correct
53 Correct 11 ms 23764 KB Output is correct
54 Correct 12 ms 23892 KB Output is correct
55 Correct 14 ms 23916 KB Output is correct
56 Correct 12 ms 23892 KB Output is correct
57 Correct 12 ms 23928 KB Output is correct
58 Correct 12 ms 23892 KB Output is correct
59 Correct 12 ms 23980 KB Output is correct
60 Correct 12 ms 23888 KB Output is correct
61 Correct 12 ms 23868 KB Output is correct
62 Correct 13 ms 23892 KB Output is correct
63 Correct 11 ms 24020 KB Output is correct
64 Correct 347 ms 126720 KB Output is correct
65 Correct 314 ms 123428 KB Output is correct
66 Correct 686 ms 157420 KB Output is correct
67 Correct 741 ms 158000 KB Output is correct
68 Correct 63 ms 36620 KB Output is correct
69 Correct 70 ms 37320 KB Output is correct
70 Correct 61 ms 36340 KB Output is correct
71 Correct 46 ms 34792 KB Output is correct
72 Correct 45 ms 33868 KB Output is correct
73 Correct 73 ms 36752 KB Output is correct
74 Correct 343 ms 126872 KB Output is correct
75 Correct 347 ms 126920 KB Output is correct
76 Correct 380 ms 129948 KB Output is correct
77 Correct 394 ms 129516 KB Output is correct
78 Correct 428 ms 135992 KB Output is correct
79 Correct 481 ms 136016 KB Output is correct
80 Correct 88 ms 42188 KB Output is correct
81 Correct 485 ms 136780 KB Output is correct
82 Correct 473 ms 136864 KB Output is correct
83 Correct 617 ms 141996 KB Output is correct
84 Correct 605 ms 147192 KB Output is correct
85 Correct 675 ms 155060 KB Output is correct
86 Correct 715 ms 157304 KB Output is correct
87 Correct 334 ms 123528 KB Output is correct
88 Correct 386 ms 131072 KB Output is correct
89 Correct 530 ms 137256 KB Output is correct
90 Correct 780 ms 157912 KB Output is correct
91 Correct 723 ms 158056 KB Output is correct
92 Correct 739 ms 148388 KB Output is correct