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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#431757 | #4387. Static Query on Tree | LR | AC ✓ | 146ms | 39844kb | C++20 | 3.9kb | 2024-06-06 01:43:45 | 2024-06-06 01:43:45 |
Judging History
answer
#include<bits/stdc++.h>
#define all(x) x.begin(), x.end()
#define ii array<int, 2>
using namespace std;
const int maxn = 2e5 + 5;
int n, m, cnt;
int in[maxn], h[maxn], par[18][maxn], out[maxn];
vector<int> adj[maxn];
int seg[4 * maxn];
void dfs(int x = 1, int p = 1)
{
in[x] = ++cnt;
h[x] = h[p] + 1;
par[0][x] = p;
for (int i = 1; i < 18; i++)
par[i][x] = par[i - 1][par[i - 1][x]];
for (int i : adj[x]) dfs(i, x);
out[x] = cnt;
}
bool cmp(int x, int y)
{
return in[x] < in[y];
}
int lca(int x, int y)
{
if (h[x] > h[y]) swap(x, y);
int dist = h[y] - h[x];
for (int i = 0; i < 18; i++)
if (dist >> i & 1)
y = par[i][y];
if (x == y) return x;
for (int i = 17; i >= 0; i--)
if (par[i][x] != par[i][y])
x = par[i][x], y = par[i][y];
return par[0][x];
}
void upd(int pos, int val, int id = 1, int l = 1, int r = n)
{
if (l == r) return void(seg[id] = val);
int mid = (l + r) / 2;
if (pos <= mid) upd(pos, val, id * 2, l, mid);
else upd(pos, val, id * 2 + 1, mid + 1, r);
seg[id] = seg[id * 2] + seg[id * 2 + 1];
}
int qry(int lx, int rx, int id = 1, int l = 1, int r = n)
{
if (lx > r || l > rx) return 0;
if (lx <= l && r <= rx) return seg[id];
int mid = (l + r) / 2;
return qry(lx, rx, id * 2, l, mid) + qry(lx, rx, id * 2 + 1, mid + 1, r);
}
void solve()
{
cin >> n >> m;
for (int i = 2, x; i <= n; i++)
cin >> x, adj[x].emplace_back(i);
dfs();
while (m--)
{
int A, B, C; cin >> A >> B >> C;
vector<int> a(A), b(B), c(C);
for (int &i : a) cin >> i;
for (int &i : b) cin >> i;
for (int &i : c) cin >> i;
if (min({A, B, C}) == 0)
{
cout << "0\n";
continue;
}
sort(all(a), cmp);
sort(all(b), cmp);
sort(all(c), cmp);
int pt = 0;
set<int> from;
for (int i : a)
{
while (pt < b.size() && in[b[pt]] <= in[i])
pt++;
int le = 1, ri = 1;
if (pt > 0)
le = lca(i, b[pt - 1]);
if (pt < b.size())
ri = lca(i, b[pt]);
if (in[le] > in[ri]) swap(le, ri);
from.emplace(ri);
}
set<int> tmp1, tmp2;
set<ii> ok;
for (int i : c)
tmp1.emplace(i),
tmp2.emplace(i);
for (int i : tmp1)
{
if (!tmp2.count(i)) continue;
auto it = tmp2.find(i);
it = next(it);
while (it != tmp2.end())
{
if (out[*it] > out[i]) break;
it = next(it);
tmp2.erase(prev(it));
}
}
for (int i : from) upd(in[i], 1);
for (int i : from)
if (qry(in[i], out[i]) == 1)
ok.insert({in[i], i});
for (int i : from) upd(in[i], 0);
int ans = 0;
for (int i : tmp2)
{
ii tmp = {in[i], 0};
auto it = ok.lower_bound(tmp);
int pre = -1;
while (it != ok.end())
{
auto [v, u] = *it;
if (out[u] > out[i]) break;
ans += (h[u] - h[i] + 1);
if (pre != -1)
ans -= (h[lca(pre, u)] - h[i] + 1);
pre = u;
it++;
}
}
cout << ans << "\n";
}
for (int i = 1; i <= n; i++)
{
adj[i].clear();
h[i] = in[i] = out[i] = 0;
for (int j = 0; j < 18; j++)
par[j][i] = 0;
}
cnt = 0;
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
// freopen("test.inp", "r", stdin);
// freopen("test.out", "w", stdout);
int tst; cin >> tst; while (tst--) solve();
}
Details
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Test #1:
score: 100
Accepted
time: 146ms
memory: 39844kb
input:
1 200000 18309 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 ...
output:
102147 62590 87270 88880 7654 61542 62953 85022 55135 54125 70500 64356 25824 88300 42278 15336 18132 28734 90282 42889 28099 31311 96842 19959 34366 60205 78358 91142 56048 74688 86091 51979 94750 11989 89544 86860 56720 29534 52343 90031 79002 90293 94554 48340 65015 9181 15016 19884 49445 14181 6...
result:
ok 18309 numbers