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Submission #956507

# Submission time Handle Problem Language Result Execution time Memory
956507 2024-04-02T06:28:39 Z Double_Slash Cats or Dogs (JOI18_catdog) C++17
100 / 100
 175 ms 34772 KB 
#include "catdog.h"
#include <bits/stdc++.h>

using namespace std;

const int INF = 1e9;
int n, par[100001];
int heavy[100001] = {0}, sz[100001] = {0}, depth[100001] = {0}, head[100001];
vector<int> adj[100001];
struct Node {
    int l, r;
    int cats = 0, dogs = 0;
    int mndiff = 0, mxdiff = 0;
    int lazyC = 0, lazyD = 0;
    int type = 0;
    int idx = 0;
    Node *lc, *rc;

    Node(int l, int r) : l(l), r(r) {
        if (l < r) {
            int m = (l + r) >> 1;
            lc = new Node{l, m};
            rc = new Node{m + 1, r};
        }
    }

    void clean() {
        if (lazyC or lazyD) {
            mndiff += lazyC - lazyD;
            mxdiff += lazyC - lazyD;
            if (l < r) {
                lc->lazyC += lazyC;
                rc->lazyC += lazyC;
                lc->lazyD += lazyD;
                rc->lazyD += lazyD;
            } else {
                cats += lazyC, dogs += lazyD;
            }
            lazyC = lazyD = 0;
        }
    }

    void label(int i, int j) {
        if (l == r) {
            idx = j;
            return;
        }
        int m = (l + r) >> 1;
        if (i <= m) lc->label(i, j);
        else rc->label(i, j);
    }

    pair<int, int> query(int i) {
        clean();
        if (l == r) {
            if (type == 1 or not type and cats < dogs) {
                return {cats, cats + 1};
            } else if (type == 2 or not type and cats > dogs) {
                return {dogs + 1, dogs};
            } else {
                return {cats, dogs};
            }
        }
        int m = (l + r) >> 1;
        if (i <= m) return lc->query(i);
        else return rc->query(i);
    }

    void inc(int ul, int ur, int c, int d) {
        clean();
        if (ul > r or ur < l) return;
        if (l >= ul and r <= ur) {
            lazyC += c;
            lazyD += d;
            clean();
            return;
        }
        lc->inc(ul, ur, c, d);
        rc->inc(ul, ur, c, d);
        mndiff = min(lc->mndiff, rc->mndiff);
        mxdiff = max(lc->mxdiff, rc->mxdiff);
    }

    void update(int i, int t) {
        if (i < l or i > r) return;
        if (l == r) {
            type = t;
            return;
        }
        lc->update(i, t);
        rc->update(i, t);
        type = max(lc->type, rc->type);
    }

    pair<int, int> le(int i, int x) {
        clean();
        if (i < l) return {0, 0};
        if (mndiff > x) return {0, 0};
        if (l == r) return {idx, mndiff};
        auto q = rc->le(i, x);
        return q.first ? q : lc->le(i, x);
    }

    pair<int, int> ge(int i, int x) {
        clean();
        if (i < l) return {0, 0};
        if (mxdiff < x) return {0, 0};
        if (l == r) return {idx, mxdiff};
        auto q = rc->ge(i, x);
        return q.first ? q : lc->ge(i, x);
    }

    pair<int, int> occupied(int i) {
        if (i < l or not type) return {0, 0};
        if (l == r) return {idx, type};
        auto q = rc->occupied(i);
        return q.first ? q : lc->occupied(i);
    }
} *st[100001] = {nullptr};

void build(int i) {
    for (int j: adj[i]) {
        if (j != par[i]) {
            par[j] = i;
            depth[j] = depth[i] + 1;
            build(j);
            sz[i] += sz[j];
            if (sz[j] > sz[heavy[i]]) {
                heavy[i] = j;
            }
        }
    }
    if (sz[heavy[i]] <= sz[i]++ / 2) heavy[i] = 0;
}

void hld(int i, int h) {
    if (heavy[i]) {
        hld(heavy[i], h);
        st[i] = st[heavy[i]];
    } else {
        st[i] = new Node{depth[h], depth[i]};
    }
    head[i] = par[h];
    for (int j: adj[i]) {
        if (j != par[i] and j != heavy[i]) {
            hld(j, j);
        }
    }
}

void inc(int i, int c, int d = INF) {
    if (not i) return;
    if (c == d or d == INF) {
        st[i]->inc(0, depth[i], c, c);
        inc(head[i], c, c);
        return;
    }
    int diff1 = c - d;
    if (diff1 == -2) {
        auto [i0, v0] = st[i]->le(depth[i], 0);
        auto [i1, v1] = st[i]->ge(depth[i], 2);
        auto [io, t] = st[i]->occupied(depth[i]);
        if (io and depth[io] >= max(depth[i0], depth[i1])) {
            st[i]->inc(depth[io], depth[i], c, d);
            inc(par[io], t == 1 ? c : d);
        } else if (depth[i0] > depth[i1]) {
            st[i]->inc(depth[i0], depth[i], c, d);
            inc(par[i0], c, v0 == 0 ? c + 1 : c);
        } else if (depth[i1] > depth[i0]) {
            st[i]->inc(depth[i1], depth[i], c, d);
            inc(par[i1], v1 == 2 ? d - 1 : d, d);
        } else {
            st[i]->inc(0, depth[i], c, d);
            inc(head[i], c, d);
        }
    } else if (diff1 == -1) {
        int i0 = st[i]->le(depth[i], -1).first;
        int i1 = st[i]->ge(depth[i], 2).first;
        auto [io, t] = st[i]->occupied(depth[i]);
        if (io and depth[io] >= max(depth[i0], depth[i1])) {
            st[i]->inc(depth[io], depth[i], c, d);
            inc(par[io], t == 1 ? c : d);
        } else if (depth[i0] > depth[i1]) {
            st[i]->inc(depth[i0], depth[i], c, d);
            inc(par[i0], c);
        } else if (depth[i1] > depth[i0]) {
            st[i]->inc(depth[i1], depth[i], c, d);
            inc(par[i1], d);
        } else {
            st[i]->inc(0, depth[i], c, d);
            inc(head[i], c, d);
        }
    } else if (diff1 == 1) {
        int i0 = st[i]->le(depth[i], -2).first;
        int i1 = st[i]->ge(depth[i], 1).first;
        auto [io, t] = st[i]->occupied(depth[i]);
        if (io and depth[io] >= max(depth[i0], depth[i1])) {
            st[i]->inc(depth[io], depth[i], c, d);
            inc(par[io], t == 1 ? c : d);
        } else if (depth[i0] > depth[i1]) {
            st[i]->inc(depth[i0], depth[i], c, d);
            inc(par[i0], c);
        } else if (depth[i1] > depth[i0]) {
            st[i]->inc(depth[i1], depth[i], c, d);
            inc(par[i1], d);
        } else {
            st[i]->inc(0, depth[i], c, d);
            inc(head[i], c, d);
        }
    } else if (diff1 == 2) {
        auto [i0, v0] = st[i]->le(depth[i], -2);
        auto [i1, v1] = st[i]->ge(depth[i], 0);
        auto [io, t] = st[i]->occupied(depth[i]);
        if (io and depth[io] >= max(depth[i0], depth[i1])) {
            st[i]->inc(depth[io], depth[i], c, d);
            inc(par[io], t == 1 ? c : d);
        } else if (depth[i0] > depth[i1]) {
            st[i]->inc(depth[i0], depth[i], c, d);
            inc(par[i0], c, v0 == -2 ? c - 1 : c);
        } else if (depth[i1] > depth[i0]) {
            st[i]->inc(depth[i1], depth[i], c, d);
            inc(par[i1], v1 == 0 ? d + 1 : d, d);
        } else {
            st[i]->inc(0, depth[i], c, d);
            inc(head[i], c, d);
        }
    }
}

int update(int i, int t) {
    auto [c0, d0] = st[i]->query(depth[i]);
    st[i]->update(depth[i], t);
    if (par[i]) {
        auto [c1, d1] = st[i]->query(depth[i]);
        int dc = c1 - c0, dd = d1 - d0;
        inc(par[i], dc, dd);
    }
    auto [c, d] = st[1]->query(depth[1]);
    return min(c, d);
}

void initialize(int N, vector<int> A, vector<int> B) {
    n = N;
    for (int i = 0; i < n - 1; ++i) {
        adj[A[i]].emplace_back(B[i]);
        adj[B[i]].emplace_back(A[i]);
    }
    par[1] = 0;
    build(1);
    hld(1, 1);
    for (int i = 1; i <= n; ++i) {
        st[i]->label(depth[i], i);
    }
    depth[0] = -INF;
}

int cat(int v) {
    return update(v, 1);
}

int dog(int v) {
    return update(v, 2);
}

int neighbor(int v) {
    return update(v, 0);
}

Compilation message

catdog.cpp: In member function 'std::pair<int, int> Node::query(int)':
catdog.cpp:56:39: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   56 |             if (type == 1 or not type and cats < dogs) {
      |                              ~~~~~~~~~^~~~~~~~~~~~~~~
catdog.cpp:58:46: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   58 |             } else if (type == 2 or not type and cats > dogs) {
      |                                     ~~~~~~~~~^~~~~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4556 KB Output is correct
2 Correct 3 ms 4444 KB Output is correct
3 Correct 2 ms 4444 KB Output is correct
4 Correct 1 ms 4532 KB Output is correct
5 Correct 1 ms 4552 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 2 ms 4444 KB Output is correct
8 Correct 1 ms 4696 KB Output is correct
9 Correct 2 ms 4444 KB Output is correct
10 Correct 1 ms 4448 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 2 ms 4696 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 2 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4556 KB Output is correct
2 Correct 3 ms 4444 KB Output is correct
3 Correct 2 ms 4444 KB Output is correct
4 Correct 1 ms 4532 KB Output is correct
5 Correct 1 ms 4552 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 2 ms 4444 KB Output is correct
8 Correct 1 ms 4696 KB Output is correct
9 Correct 2 ms 4444 KB Output is correct
10 Correct 1 ms 4448 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 2 ms 4696 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 2 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 2 ms 4700 KB Output is correct
18 Correct 2 ms 4704 KB Output is correct
19 Correct 2 ms 4444 KB Output is correct
20 Correct 1 ms 4552 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 3 ms 4556 KB Output is correct
23 Correct 2 ms 4704 KB Output is correct
24 Correct 3 ms 4564 KB Output is correct
25 Correct 2 ms 4440 KB Output is correct
26 Correct 1 ms 4448 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 2 ms 4700 KB Output is correct
29 Correct 2 ms 4696 KB Output is correct
30 Correct 2 ms 4444 KB Output is correct
31 Correct 1 ms 4556 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct

Subtask #3
62.0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4556 KB Output is correct
2 Correct 3 ms 4444 KB Output is correct
3 Correct 2 ms 4444 KB Output is correct
4 Correct 1 ms 4532 KB Output is correct
5 Correct 1 ms 4552 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 2 ms 4444 KB Output is correct
8 Correct 1 ms 4696 KB Output is correct
9 Correct 2 ms 4444 KB Output is correct
10 Correct 1 ms 4448 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 2 ms 4696 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 2 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 2 ms 4700 KB Output is correct
18 Correct 2 ms 4704 KB Output is correct
19 Correct 2 ms 4444 KB Output is correct
20 Correct 1 ms 4552 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 3 ms 4556 KB Output is correct
23 Correct 2 ms 4704 KB Output is correct
24 Correct 3 ms 4564 KB Output is correct
25 Correct 2 ms 4440 KB Output is correct
26 Correct 1 ms 4448 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 2 ms 4700 KB Output is correct
29 Correct 2 ms 4696 KB Output is correct
30 Correct 2 ms 4444 KB Output is correct
31 Correct 1 ms 4556 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 91 ms 14160 KB Output is correct
34 Correct 47 ms 15292 KB Output is correct
35 Correct 94 ms 11772 KB Output is correct
36 Correct 147 ms 20884 KB Output is correct
37 Correct 15 ms 9424 KB Output is correct
38 Correct 150 ms 22568 KB Output is correct
39 Correct 163 ms 22604 KB Output is correct
40 Correct 175 ms 22668 KB Output is correct
41 Correct 170 ms 22600 KB Output is correct
42 Correct 175 ms 22704 KB Output is correct
43 Correct 159 ms 22712 KB Output is correct
44 Correct 158 ms 22604 KB Output is correct
45 Correct 157 ms 22736 KB Output is correct
46 Correct 175 ms 22684 KB Output is correct
47 Correct 150 ms 22708 KB Output is correct
48 Correct 44 ms 15252 KB Output is correct
49 Correct 51 ms 17744 KB Output is correct
50 Correct 15 ms 7612 KB Output is correct
51 Correct 27 ms 9688 KB Output is correct
52 Correct 13 ms 7264 KB Output is correct
53 Correct 84 ms 21336 KB Output is correct
54 Correct 63 ms 11860 KB Output is correct
55 Correct 130 ms 17484 KB Output is correct
56 Correct 80 ms 13044 KB Output is correct
57 Correct 122 ms 20336 KB Output is correct
58 Correct 15 ms 10200 KB Output is correct
59 Correct 21 ms 9496 KB Output is correct
60 Correct 48 ms 16588 KB Output is correct
61 Correct 47 ms 17096 KB Output is correct
62 Correct 34 ms 14524 KB Output is correct
63 Correct 43 ms 18260 KB Output is correct
64 Correct 57 ms 20828 KB Output is correct
65 Correct 71 ms 30540 KB Output is correct
66 Correct 54 ms 10840 KB Output is correct
67 Correct 65 ms 22736 KB Output is correct
68 Correct 123 ms 30780 KB Output is correct
69 Correct 31 ms 6748 KB Output is correct
70 Correct 8 ms 4700 KB Output is correct
71 Correct 68 ms 16396 KB Output is correct
72 Correct 96 ms 25940 KB Output is correct
73 Correct 140 ms 34496 KB Output is correct
74 Correct 150 ms 30324 KB Output is correct
75 Correct 158 ms 34772 KB Output is correct
76 Correct 145 ms 33056 KB Output is correct
77 Correct 148 ms 30800 KB Output is correct