Submission #289304

# Submission time Handle Problem Language Result Execution time Memory
289304 2020-09-02T14:23:56 Z PeppaPig Regions (IOI09_regions) C++14
100 / 100
6028 ms 82984 KB
#include <bits/stdc++.h>

#define long long long
#define pii pair<int, int>
#define x first
#define y second

using namespace std;

const int N = 2e5 + 5;
const int M = 2.5e4 + 5;
const int B = 500;

int n, re, q, init;

struct node {
    int d, l, r;
    node(int d, int l, int r) : d(d), l(l), r(r) {}
};

vector<node> vec;

int newleaf(int d) {
    vec.emplace_back(d, -1, -1);
    return (int)vec.size() - 1;
}

int newpar(int l, int r) {
    vec.emplace_back(0, l, r);
    return (int)vec.size() - 1;
}

int build(int l = 1, int r = re) {
    if(l == r) return newleaf(0);
    int mid = (l + r) >> 1;
    return newpar(build(l, mid), build(mid + 1, r));
}

int update(int x, int k, int p, int l = 1, int r = re) {
    if(l == r) return newleaf(vec[p].d + k);
    int mid = (l + r) >> 1;
    if(x <= mid) return newpar(update(x, k, vec[p].l, l, mid), vec[p].r);
    else return newpar(vec[p].l, update(x, k, vec[p].r, mid + 1, r));
}

int get_val(int x, int p, int l = 1, int r = re) {
    if(l == r) return vec[p].d;
    int mid = (l + r) >> 1;
    if(x <= mid) return get_val(x, vec[p].l, l, mid);
    else return get_val(x, vec[p].r, mid + 1, r);
}

int R[N], ver[N], hv[N], in[N], out[N], pos[N];
int id[M], inv[M], cnt[M], ptr;
long sum[B][B];
vector<int> g[N], emp[M], euler[M];

int preprocess(int u) {
    static int idx = 0;

    pos[in[u] = ++idx] = u;
    int sz = 1; pii ret(0, -1);
    for(int v : g[u]) {
        int z = preprocess(v);
        sz += z, ret = max(ret, pii(z, v));
    }
    hv[u] = ret.y, out[u] = idx;
    return sz;
}

void sack(int u, bool save) {
    ver[u] = update(R[u], 1, ver[u]);
    for(int v : g[u]) if(v != hv[u]) {
        ver[v] = ver[u];
        sack(v, 0);
    }
    if(hv[u] != -1) {
        ver[hv[u]] = ver[u];
        sack(hv[u], 1);
    }
    for(int v : g[u]) if(v != hv[u])
        for(int i = in[v]; i <= out[v]; i++)
            ++cnt[R[pos[i]]];
    ++cnt[R[u]];
    if(id[R[u]]) for(int i = 1; i <= ptr; i++)
        sum[id[R[u]]][i] += cnt[inv[i]];
    if(!save) for(int i = in[u]; i <= out[u]; i++)
        --cnt[R[pos[i]]];
}

int main() {
    scanf("%d %d %d %d", &n, &re, &q, R + 1);
    emp[R[1]].emplace_back(1);
    for(int i = 2, p; i <= n; i++) {
        scanf("%d %d", &p, R + i);
        g[p].emplace_back(i);
        emp[R[i]].emplace_back(i);
    }
    for(int i = 1; i <= re; i++) if((int)emp[i].size() >= B)
        inv[id[i] = ++ptr] = i;
    init = build();
    fill_n(ver, N, init);

    preprocess(1), sack(1, 1);
    for(int i = 1; i <= n; i++) euler[R[pos[i]]].emplace_back(i);

    for(int i = 1, a, b; i <= q; i++) {
        scanf("%d %d", &a, &b);
        if(id[a] && id[b]) printf("%lld\n", sum[id[a]][id[b]]);
        else {
            long ans = 0;
            if(!id[a])
                for(int u : emp[a])
                    ans += upper_bound(euler[b].begin(), euler[b].end(), out[u])
                        - lower_bound(euler[b].begin(), euler[b].end(), in[u]);
            else for(int u : emp[b]) ans += get_val(a, ver[u]);
            printf("%lld\n", ans);
        }
        fflush(stdout);
    }

    return 0;
}

Compilation message

regions.cpp: In function 'int main()':
regions.cpp:92:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   92 |     scanf("%d %d %d %d", &n, &re, &q, R + 1);
      |     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
regions.cpp:95:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   95 |         scanf("%d %d", &p, R + i);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~
regions.cpp:108:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  108 |         scanf("%d %d", &a, &b);
      |         ~~~~~^~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 7040 KB Output is correct
2 Correct 5 ms 7040 KB Output is correct
3 Correct 7 ms 7040 KB Output is correct
4 Correct 9 ms 7040 KB Output is correct
5 Correct 13 ms 7168 KB Output is correct
6 Correct 24 ms 7296 KB Output is correct
7 Correct 37 ms 7424 KB Output is correct
8 Correct 32 ms 7616 KB Output is correct
9 Correct 55 ms 8572 KB Output is correct
10 Correct 94 ms 9208 KB Output is correct
11 Correct 153 ms 11124 KB Output is correct
12 Correct 176 ms 11764 KB Output is correct
13 Correct 223 ms 11252 KB Output is correct
14 Correct 394 ms 11884 KB Output is correct
15 Correct 393 ms 18672 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3024 ms 24804 KB Output is correct
2 Correct 3866 ms 23268 KB Output is correct
3 Correct 4479 ms 27236 KB Output is correct
4 Correct 378 ms 15080 KB Output is correct
5 Correct 434 ms 17520 KB Output is correct
6 Correct 1996 ms 22804 KB Output is correct
7 Correct 2114 ms 23760 KB Output is correct
8 Correct 1714 ms 42964 KB Output is correct
9 Correct 2967 ms 66512 KB Output is correct
10 Correct 5308 ms 73516 KB Output is correct
11 Correct 6028 ms 65712 KB Output is correct
12 Correct 2100 ms 67500 KB Output is correct
13 Correct 2834 ms 68268 KB Output is correct
14 Correct 3886 ms 67632 KB Output is correct
15 Correct 4485 ms 73648 KB Output is correct
16 Correct 4156 ms 82984 KB Output is correct
17 Correct 5029 ms 81196 KB Output is correct