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Submission #374896

# Submission time Handle Problem Language Result Execution time Memory
374896 2021-03-08T13:25:24 Z valerikk Cats or Dogs (JOI18_catdog) C++17
100 / 100
 1441 ms 32492 KB 
#include <bits/stdc++.h>

using namespace std;

const int INF = (int)1e9;

struct Data {
    int dp[2][2];

    Data() {
        for (int i = 0; i < 2; ++i) {
            for (int j = 0; j < 2; ++j) dp[i][j] = INF;
        }
    }

    Data(int sum1, int sum2, int type) {
        for (int i = 0; i < 2; ++i) {
            for (int j = 0; j < 2; ++j) {
                dp[i][j] = INF;
            }
        }
        if (type != 2) dp[0][0] = sum1;
        if (type != 1) dp[1][1] = sum2;
    }
};
Data merge(const Data& l, const Data& r) {
    Data res = Data{};
    for (int pl = 0; pl < 2; ++pl) {
        for (int ql = 0; ql < 2; ++ql) {
            if (l.dp[pl][ql] == INF) continue;
            for (int pr = 0; pr < 2; ++pr) {
                for (int qr = 0; qr < 2; ++qr) {
                    if (r.dp[pr][qr] == INF) continue;
                    int cur = l.dp[pl][ql] + r.dp[pr][qr];
                    if (ql != pr) ++cur;
                    res.dp[pl][qr] = min(res.dp[pl][qr], cur);
                }
            }
        }
    }
    return res;
}

const int N = (int)1e5 + 7;

Data t[4 * N];

void upd(int v, int vl, int vr, int pos, int sum1, int sum2, int type) {
    if (vr - vl == 1) {
        t[v] = Data{sum1, sum2, type};
    } else {
        int vm = (vl + vr) / 2;
        if (pos < vm) {
            upd(2 * v, vl, vm, pos, sum1, sum2, type);
        } else {
            upd(2 * v + 1, vm, vr, pos, sum1, sum2, type);
        }
        t[v] = merge(t[2 * v], t[2 * v + 1]);
    }
}

Data query(int v, int vl, int vr, int l, int r) {
    if (vl >= l && vr <= r) return t[v];
    int vm = (vl + vr) / 2;
    if (r <= vm) return query(2 * v, vl, vm, l, r);
    if (vm <= l) return query(2 * v + 1, vm, vr, l, r);
    return merge(query(2 * v, vl, vm, l, r), query(2 * v + 1, vm, vr, l, r));
}

void tbuild(int v, int vl, int vr) {
    if (vr - vl == 1) {
        t[v] = Data{0, 0, 0};
    } else {
        int vm = (vl + vr) / 2;
        tbuild(2 * v, vl, vm);
        tbuild(2 * v + 1, vm, vr);
        t[v] = merge(t[2 * v], t[2 * v + 1]);
    }
}

int n;
vector<int> g[N];
int a[N], b[N];
int sz[N];
int head[N];
int in[N]/*, out[N]*/, T = 0;
int cnt[N];
int type[N], sum1[N], sum2[N];
int par[N];

int find_size(int v, int p = -1) {
    par[v] = p;
    sz[v] = 1;
    vector<int> gg;
    for (int u : g[v]) {
        if (u != p) {
            sz[v] += find_size(u, v);
            gg.push_back(u);
        }
    }
    g[v] = gg;
    return sz[v];
}

void build_hld(int v) {
    for (int& u : g[v]) {
        if (sz[u] > sz[g[v][0]]) swap(u, g[v][0]);
    }
    ++cnt[head[v]];
    in[v] = T++;
    for (int u : g[v]) {
        head[u] = u == g[v][0] ? head[v] : u;
        build_hld(u);
    }
    //out[v] = T;
}

Data get_dp(int v) {
    return query(1, 0, n, in[v], in[head[v]] + cnt[head[v]]);
}

void actual(int v) {
    upd(1, 0, n, in[v], sum1[v], sum2[v], type[v]);
}

void init() {
    for (int i = 0; i < n; ++i) g[i] = {};
    for (int i = 0; i < n - 1; ++i) {
        g[a[i]].push_back(b[i]);
        g[b[i]].push_back(a[i]);
    }
    find_size(0);
    head[0] = 0;
    for (int i = 0; i < n; ++i) cnt[i] = 0;
    build_hld(0);
    tbuild(1, 0, n);
    for (int i = 0; i < n; ++i) {
        type[i] = sum1[i] = sum2[i] = 0;
    }
}

int get_ans() {
    auto res1 = get_dp(0);
    int res = INF;
    for (int i = 0; i < 2; ++i) {
        for (int j = 0; j < 2; ++j) res = min(res, res1.dp[i][j]);
    }
    return res;
}

void change_type(int V, int ntype) {
    int v = V;
    while (v != -1) {
        if (v == head[v]) {
            if (par[v] == -1) break;
            auto cur = get_dp(v);
            int dp1 = min(cur.dp[0][0], cur.dp[0][1]);
            int dp2 = min(cur.dp[1][0], cur.dp[1][1]);
            sum1[par[v]] -= min(dp1, dp2 + 1);
            sum2[par[v]] -= min(dp2, dp1 + 1);
            v = par[v];
        } else {
            v = head[v];
        }
    }
    type[V] = ntype;
    actual(V);
    v = V;
    while (v != -1) {
        if (v == head[v]) {
            if (par[v] == -1) break;
            auto cur = get_dp(v);
            int dp1 = min(cur.dp[0][0], cur.dp[0][1]);
            int dp2 = min(cur.dp[1][0], cur.dp[1][1]);
            sum1[par[v]] += min(dp1, dp2 + 1);
            sum2[par[v]] += min(dp2, dp1 + 1);
            actual(par[v]);
            v = par[v];
        } else {
            v = head[v];
        }
    }
}

void initialize(int initn, vector<int> inita, vector<int> initb) {
    n = initn;
    for (int i = 0; i < n - 1; ++i) {
        a[i] = inita[i] - 1;
        b[i] = initb[i] - 1;
    }
    init();
}

int cat(int v) {
    --v;
    change_type(v, 1);
    return get_ans();
}

int dog(int v) {
    --v;
    change_type(v, 2);
    return get_ans();
}

int neighbor(int v) {
    --v;
    change_type(v, 0);
    return get_ans();
}

#ifndef EVAL
int main() {
    freopen("input.txt", "r", stdin);
    ios::sync_with_stdio(false);
    cin.tie(0);
    int initn;
    cin >> initn;
    vector<int> inita(initn - 1), initb(initn - 1);
    for (int i = 0; i < initn - 1; ++i) {
        cin >> inita[i] >> initb[i];
    }
    initialize(initn, inita, initb);
    int qqq;
    cin >> qqq;
    while (qqq--) {
        int kektype, kekv;
        cin >> kektype >> kekv;
        if (kektype == 1) {
            cout << cat(kekv);
        }
        if (kektype == 2) {
            cout << dog(kekv);
        }
        if (kektype == 3) {
            cout << neighbor(kekv);
        }
        cout << '\n';
    }
    return 0;
}
#endif

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8940 KB Output is correct
2 Correct 6 ms 8940 KB Output is correct
3 Correct 6 ms 8940 KB Output is correct
4 Correct 6 ms 9068 KB Output is correct
5 Correct 6 ms 8940 KB Output is correct
6 Correct 6 ms 8940 KB Output is correct
7 Correct 6 ms 8940 KB Output is correct
8 Correct 8 ms 8940 KB Output is correct
9 Correct 6 ms 8940 KB Output is correct
10 Correct 7 ms 8940 KB Output is correct
11 Correct 6 ms 8940 KB Output is correct
12 Correct 6 ms 8940 KB Output is correct
13 Correct 6 ms 8940 KB Output is correct
14 Correct 7 ms 8940 KB Output is correct
15 Correct 6 ms 8940 KB Output is correct
16 Correct 6 ms 8940 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8940 KB Output is correct
2 Correct 6 ms 8940 KB Output is correct
3 Correct 6 ms 8940 KB Output is correct
4 Correct 6 ms 9068 KB Output is correct
5 Correct 6 ms 8940 KB Output is correct
6 Correct 6 ms 8940 KB Output is correct
7 Correct 6 ms 8940 KB Output is correct
8 Correct 8 ms 8940 KB Output is correct
9 Correct 6 ms 8940 KB Output is correct
10 Correct 7 ms 8940 KB Output is correct
11 Correct 6 ms 8940 KB Output is correct
12 Correct 6 ms 8940 KB Output is correct
13 Correct 6 ms 8940 KB Output is correct
14 Correct 7 ms 8940 KB Output is correct
15 Correct 6 ms 8940 KB Output is correct
16 Correct 6 ms 8940 KB Output is correct
17 Correct 9 ms 9068 KB Output is correct
18 Correct 8 ms 9068 KB Output is correct
19 Correct 7 ms 9068 KB Output is correct
20 Correct 6 ms 8940 KB Output is correct
21 Correct 8 ms 8940 KB Output is correct
22 Correct 7 ms 9068 KB Output is correct
23 Correct 9 ms 9068 KB Output is correct
24 Correct 9 ms 9068 KB Output is correct
25 Correct 8 ms 9068 KB Output is correct
26 Correct 7 ms 9068 KB Output is correct
27 Correct 7 ms 9068 KB Output is correct
28 Correct 8 ms 9068 KB Output is correct
29 Correct 8 ms 9196 KB Output is correct
30 Correct 7 ms 8940 KB Output is correct
31 Correct 7 ms 9068 KB Output is correct
32 Correct 8 ms 9068 KB Output is correct

Subtask #3
62.0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8940 KB Output is correct
2 Correct 6 ms 8940 KB Output is correct
3 Correct 6 ms 8940 KB Output is correct
4 Correct 6 ms 9068 KB Output is correct
5 Correct 6 ms 8940 KB Output is correct
6 Correct 6 ms 8940 KB Output is correct
7 Correct 6 ms 8940 KB Output is correct
8 Correct 8 ms 8940 KB Output is correct
9 Correct 6 ms 8940 KB Output is correct
10 Correct 7 ms 8940 KB Output is correct
11 Correct 6 ms 8940 KB Output is correct
12 Correct 6 ms 8940 KB Output is correct
13 Correct 6 ms 8940 KB Output is correct
14 Correct 7 ms 8940 KB Output is correct
15 Correct 6 ms 8940 KB Output is correct
16 Correct 6 ms 8940 KB Output is correct
17 Correct 9 ms 9068 KB Output is correct
18 Correct 8 ms 9068 KB Output is correct
19 Correct 7 ms 9068 KB Output is correct
20 Correct 6 ms 8940 KB Output is correct
21 Correct 8 ms 8940 KB Output is correct
22 Correct 7 ms 9068 KB Output is correct
23 Correct 9 ms 9068 KB Output is correct
24 Correct 9 ms 9068 KB Output is correct
25 Correct 8 ms 9068 KB Output is correct
26 Correct 7 ms 9068 KB Output is correct
27 Correct 7 ms 9068 KB Output is correct
28 Correct 8 ms 9068 KB Output is correct
29 Correct 8 ms 9196 KB Output is correct
30 Correct 7 ms 8940 KB Output is correct
31 Correct 7 ms 9068 KB Output is correct
32 Correct 8 ms 9068 KB Output is correct
33 Correct 547 ms 15360 KB Output is correct
34 Correct 183 ms 15560 KB Output is correct
35 Correct 491 ms 13924 KB Output is correct
36 Correct 931 ms 19508 KB Output is correct
37 Correct 36 ms 11884 KB Output is correct
38 Correct 940 ms 20508 KB Output is correct
39 Correct 966 ms 20520 KB Output is correct
40 Correct 1441 ms 20644 KB Output is correct
41 Correct 892 ms 20640 KB Output is correct
42 Correct 857 ms 20540 KB Output is correct
43 Correct 1052 ms 20444 KB Output is correct
44 Correct 805 ms 20720 KB Output is correct
45 Correct 952 ms 20572 KB Output is correct
46 Correct 1047 ms 20544 KB Output is correct
47 Correct 953 ms 20508 KB Output is correct
48 Correct 230 ms 17360 KB Output is correct
49 Correct 231 ms 19452 KB Output is correct
50 Correct 80 ms 11640 KB Output is correct
51 Correct 93 ms 13276 KB Output is correct
52 Correct 43 ms 11176 KB Output is correct
53 Correct 352 ms 19308 KB Output is correct
54 Correct 289 ms 13676 KB Output is correct
55 Correct 731 ms 17508 KB Output is correct
56 Correct 435 ms 14484 KB Output is correct
57 Correct 570 ms 18924 KB Output is correct
58 Correct 40 ms 13384 KB Output is correct
59 Correct 93 ms 12992 KB Output is correct
60 Correct 186 ms 18472 KB Output is correct
61 Correct 201 ms 18972 KB Output is correct
62 Correct 129 ms 16856 KB Output is correct
63 Correct 75 ms 18624 KB Output is correct
64 Correct 74 ms 21100 KB Output is correct
65 Correct 106 ms 27628 KB Output is correct
66 Correct 104 ms 13804 KB Output is correct
67 Correct 120 ms 22296 KB Output is correct
68 Correct 218 ms 27684 KB Output is correct
69 Correct 54 ms 10852 KB Output is correct
70 Correct 19 ms 9324 KB Output is correct
71 Correct 90 ms 18156 KB Output is correct
72 Correct 142 ms 25820 KB Output is correct
73 Correct 342 ms 32492 KB Output is correct
74 Correct 483 ms 26924 KB Output is correct
75 Correct 245 ms 32492 KB Output is correct
76 Correct 229 ms 30444 KB Output is correct
77 Correct 470 ms 27564 KB Output is correct