Submission #58582

# Submission time Handle Problem Language Result Execution time Memory
58582 2018-07-18T10:09:36 Z imeimi2000 Cats or Dogs (JOI18_catdog) C++17
100 / 100
418 ms 81468 KB
#include "catdog.h"
#include <algorithm>
#include <functional>

using namespace std;
typedef pair<int, int> pii;
typedef long long llong;

const llong inf = 1e16;
const int MAXN = 1e6;

struct node {
    llong val[2][2];
    node() {
        val[0][0] = val[1][1] = 0;
        val[0][1] = val[1][0] = inf;
    }
    node operator+(const node &p) const {
        node ret;
        for (int i = 0; i < 2; ++i) {
            for (int j = 0; j < 2; ++j) {
                ret.val[i][j] = inf;
                for (int k = 0; k < 2; ++k) {
                    for (int l = 0; l < 2; ++l) {
                        ret.val[i][j] = min(ret.val[i][j]
                            , val[i][k] + p.val[l][j] + (k ^ l));
                    }
                }
            }
        }
        return ret;
    }
};

struct segtree {
    vector<node> val;
    int sz;
    void init(int i, int s, int e) {
        if (s == e) return;
        int m = (s + e) / 2;
        init(i << 1, s, m);
        init(i << 1 | 1, m + 1, e);
        val[i] = val[i << 1] + val[i << 1 | 1];
    }
    
    void init(int _sz) {
        int s = 1;
        sz = _sz;
        while (s < (sz << 1)) s <<= 1;
        val.resize(s);
        init(1, 1, sz);
    }
    
    void update(int i, int s, int e, int x, llong v0, llong v1) {
        if (s == e) {
            val[i].val[0][0] += v0;
            val[i].val[1][1] += v1;
            return;
        }
        int m = (s + e) / 2;
        if (x <= m) update(i << 1, s, m, x, v0, v1);
        else update(i << 1 | 1, m + 1, e, x, v0, v1);
        val[i] = val[i << 1] + val[i << 1 | 1];
    }
    
    void update(int i, llong x0, llong x1) {
        update(1, 1, sz, i, x0, x1);
    }
    
    pii query() const {
        int x = min(val[1].val[0][0], val[1].val[0][1]);
        int y = min(val[1].val[1][0], val[1].val[1][1]);
        return pii(min(x, y + 1), min(x + 1, y));
    }
} seg[100001];

int n;
vector<int> edge[100001];
int sz[100001];
int pathPar[100001];
int pathPos[100001];
int par[100001];
int st[100001];

void dfsSize(int x, int p) {
    par[x] = p;
    sz[x] = 1;
    for (int i : edge[x]) {
        if (i == p) continue;
        dfsSize(i, x);
        sz[x] += sz[i];
    }
}

void dfsDecomp(int x, int p) {
    int hpath = 0;
    for (int i : edge[x]) {
        if (i == p) continue;
        if (sz[x] <= (sz[i] << 1)) {
            hpath = i;
            break;
        }
    }
    if (hpath == 0) seg[pathPar[x]].init(pathPos[x]);
    for (int i : edge[x]) {
        if (i == p) continue;
        if (i != hpath) {
            pathPar[i] = i;
            pathPos[i] = 1;
        }
        else {
            pathPar[i] = pathPar[x];
            pathPos[i] = pathPos[x] + 1;
        }
        dfsDecomp(i, x);
    }
}

void initialize(int N, vector<int> A, vector<int> B) {
    n = N;
    for (int i = 0; i < n - 1; ++i) {
        edge[A[i]].push_back(B[i]);
        edge[B[i]].push_back(A[i]);
    }
    dfsSize(1, 0);
    pathPar[1] = 1;
    pathPos[1] = 1;
    dfsDecomp(1, 0);
}

void update(int x, int v0, int v1) {
    while (x) {
        int path = pathPar[x];
        int pr0, pr1, nx0, nx1;
        tie(pr0, pr1) = seg[path].query();
        seg[path].update(pathPos[x], v0, v1);
        tie(nx0, nx1) = seg[path].query();
        v0 = nx0 - pr0;
        v1 = nx1 - pr1;
        x = par[pathPar[x]];
    }
}

int getAns() {
    int x, y;
    tie(x, y) = seg[1].query();
    return min(x, y);
}

int cat(int v) {
    st[v] = 1;
    update(v, MAXN, 0);
    return getAns();
}

int dog(int v) {
    st[v] = 2;
    update(v, 0, MAXN);
    return getAns();
}

int neighbor(int v) {
    if (st[v] == 1) update(v, -MAXN, 0);
    else update(v, 0, -MAXN);
    st[v] = 0;
    return getAns();
}
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5752 KB Output is correct
2 Correct 6 ms 5888 KB Output is correct
3 Correct 6 ms 6072 KB Output is correct
4 Correct 7 ms 6072 KB Output is correct
5 Correct 7 ms 6072 KB Output is correct
6 Correct 6 ms 6132 KB Output is correct
7 Correct 7 ms 6132 KB Output is correct
8 Correct 6 ms 6132 KB Output is correct
9 Correct 6 ms 6132 KB Output is correct
10 Correct 7 ms 6132 KB Output is correct
11 Correct 6 ms 6132 KB Output is correct
12 Correct 6 ms 6132 KB Output is correct
13 Correct 6 ms 6132 KB Output is correct
14 Correct 7 ms 6132 KB Output is correct
15 Correct 7 ms 6132 KB Output is correct
16 Correct 7 ms 6132 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5752 KB Output is correct
2 Correct 6 ms 5888 KB Output is correct
3 Correct 6 ms 6072 KB Output is correct
4 Correct 7 ms 6072 KB Output is correct
5 Correct 7 ms 6072 KB Output is correct
6 Correct 6 ms 6132 KB Output is correct
7 Correct 7 ms 6132 KB Output is correct
8 Correct 6 ms 6132 KB Output is correct
9 Correct 6 ms 6132 KB Output is correct
10 Correct 7 ms 6132 KB Output is correct
11 Correct 6 ms 6132 KB Output is correct
12 Correct 6 ms 6132 KB Output is correct
13 Correct 6 ms 6132 KB Output is correct
14 Correct 7 ms 6132 KB Output is correct
15 Correct 7 ms 6132 KB Output is correct
16 Correct 7 ms 6132 KB Output is correct
17 Correct 11 ms 6140 KB Output is correct
18 Correct 8 ms 6140 KB Output is correct
19 Correct 9 ms 6144 KB Output is correct
20 Correct 7 ms 6144 KB Output is correct
21 Correct 6 ms 6144 KB Output is correct
22 Correct 7 ms 6144 KB Output is correct
23 Correct 8 ms 6268 KB Output is correct
24 Correct 7 ms 6268 KB Output is correct
25 Correct 8 ms 6268 KB Output is correct
26 Correct 10 ms 6268 KB Output is correct
27 Correct 7 ms 6268 KB Output is correct
28 Correct 9 ms 6524 KB Output is correct
29 Correct 9 ms 6652 KB Output is correct
30 Correct 9 ms 6652 KB Output is correct
31 Correct 8 ms 6652 KB Output is correct
32 Correct 8 ms 6652 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5752 KB Output is correct
2 Correct 6 ms 5888 KB Output is correct
3 Correct 6 ms 6072 KB Output is correct
4 Correct 7 ms 6072 KB Output is correct
5 Correct 7 ms 6072 KB Output is correct
6 Correct 6 ms 6132 KB Output is correct
7 Correct 7 ms 6132 KB Output is correct
8 Correct 6 ms 6132 KB Output is correct
9 Correct 6 ms 6132 KB Output is correct
10 Correct 7 ms 6132 KB Output is correct
11 Correct 6 ms 6132 KB Output is correct
12 Correct 6 ms 6132 KB Output is correct
13 Correct 6 ms 6132 KB Output is correct
14 Correct 7 ms 6132 KB Output is correct
15 Correct 7 ms 6132 KB Output is correct
16 Correct 7 ms 6132 KB Output is correct
17 Correct 11 ms 6140 KB Output is correct
18 Correct 8 ms 6140 KB Output is correct
19 Correct 9 ms 6144 KB Output is correct
20 Correct 7 ms 6144 KB Output is correct
21 Correct 6 ms 6144 KB Output is correct
22 Correct 7 ms 6144 KB Output is correct
23 Correct 8 ms 6268 KB Output is correct
24 Correct 7 ms 6268 KB Output is correct
25 Correct 8 ms 6268 KB Output is correct
26 Correct 10 ms 6268 KB Output is correct
27 Correct 7 ms 6268 KB Output is correct
28 Correct 9 ms 6524 KB Output is correct
29 Correct 9 ms 6652 KB Output is correct
30 Correct 9 ms 6652 KB Output is correct
31 Correct 8 ms 6652 KB Output is correct
32 Correct 8 ms 6652 KB Output is correct
33 Correct 200 ms 14472 KB Output is correct
34 Correct 134 ms 15740 KB Output is correct
35 Correct 159 ms 15740 KB Output is correct
36 Correct 236 ms 20324 KB Output is correct
37 Correct 40 ms 20324 KB Output is correct
38 Correct 360 ms 21952 KB Output is correct
39 Correct 393 ms 21952 KB Output is correct
40 Correct 276 ms 22060 KB Output is correct
41 Correct 275 ms 22060 KB Output is correct
42 Correct 248 ms 22060 KB Output is correct
43 Correct 265 ms 22092 KB Output is correct
44 Correct 309 ms 22092 KB Output is correct
45 Correct 317 ms 22172 KB Output is correct
46 Correct 387 ms 22172 KB Output is correct
47 Correct 418 ms 22172 KB Output is correct
48 Correct 131 ms 22172 KB Output is correct
49 Correct 154 ms 22172 KB Output is correct
50 Correct 40 ms 22172 KB Output is correct
51 Correct 43 ms 22172 KB Output is correct
52 Correct 32 ms 22172 KB Output is correct
53 Correct 240 ms 22172 KB Output is correct
54 Correct 113 ms 22172 KB Output is correct
55 Correct 265 ms 22172 KB Output is correct
56 Correct 164 ms 22172 KB Output is correct
57 Correct 285 ms 22172 KB Output is correct
58 Correct 53 ms 22172 KB Output is correct
59 Correct 56 ms 22172 KB Output is correct
60 Correct 159 ms 22172 KB Output is correct
61 Correct 150 ms 22172 KB Output is correct
62 Correct 87 ms 22172 KB Output is correct
63 Correct 85 ms 33468 KB Output is correct
64 Correct 117 ms 44732 KB Output is correct
65 Correct 138 ms 65760 KB Output is correct
66 Correct 67 ms 65760 KB Output is correct
67 Correct 109 ms 65760 KB Output is correct
68 Correct 232 ms 65760 KB Output is correct
69 Correct 41 ms 65760 KB Output is correct
70 Correct 15 ms 65760 KB Output is correct
71 Correct 80 ms 65760 KB Output is correct
72 Correct 135 ms 65760 KB Output is correct
73 Correct 244 ms 81468 KB Output is correct
74 Correct 308 ms 81468 KB Output is correct
75 Correct 266 ms 81468 KB Output is correct
76 Correct 311 ms 81468 KB Output is correct
77 Correct 297 ms 81468 KB Output is correct