Submission #1001297

#	Time	Username	Problem	Language	Result	Execution time	Memory
1001297		LonlyR	Tourism (JOI23_tourism)	C++17	10 / 100	5100 ms	31568 KiB

tourism

#include<bits/stdc++.h>
#define all(x) x.begin(), x.end()
#define ii pair<int,int>
#define ff first
#define ss second
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")

using namespace std;
const int maxn = 1e5 + 5, bl = sqrt(maxn) ;
int n, m, q, cnt, cur;
int in[maxn], out[maxn], h[maxn], par[18][maxn], id[maxn], c[maxn], ans[maxn], in_set[maxn];
vector<int> adj[maxn], euler = {0};
int lgs[3*maxn];

int rev_in[maxn];

set<int> s;

inline int gilbertOrder(int x, int y, int pow, int rotate) {
	if (pow == 0) {
		return 0;
	}
	int hpow = 1 << (pow-1);
	int seg = (x < hpow) ? (
		(y < hpow) ? 0 : 3
	) : (
		(y < hpow) ? 1 : 2
	);
	seg = (seg + rotate) & 3;
	const int rotateDelta[4] = {3, 0, 0, 1};
	int nx = x & (x ^ hpow), ny = y & (y ^ hpow);
	int nrot = (rotate + rotateDelta[seg]) & 3;
	int subSquareSize = int(1) << (2*pow - 2);
	int ans = seg * subSquareSize;
	int add = gilbertOrder(nx, ny, pow-1, nrot);
	ans += (seg == 1 || seg == 2) ? add : (subSquareSize - add - 1);
	return ans;
}

struct Q {
	int l, r, id;
	int ord;

	inline void calcOrder() {
		ord = gilbertOrder(l, r, 21, 0);
	}
} qr[maxn];

inline bool operator<(const Q &a, const Q &b) {
	return a.ord < b.ord;
}

void dfs(int x = 1, int p = 1)
{
    h[x] = h[p] + 1;
    in[x] = ++cnt;
    id[x] = euler.size();
    euler.push_back(x);
    for (int i : adj[x]) if (i != p)
        dfs(i, x),
        euler.push_back(x);
    out[x] = cnt;
}

//inline bool sub(int u, int v) /// u in subtree of v
//{
//    return in[v] <= in[u] && out[u] <= out[v];
//}
//
//int lca(int u, int v)
//{
//    if (h[u] > h[v]) swap(u, v);
//    if (sub(v, u)) return u;
//    for (int i = 17; i >= 0; i--)
//        if (sub(u, par[i][v]) == 0)
//            v = par[i][v];
//    return par[0][v];
//}

vector<vector<ii>> st;

inline void build()
{
    int sz = euler.size();
    int LG = __lg(sz);
    st = vector<vector<ii>>(LG + 1, vector<ii>(sz, {sz, 0}));
    for (int i = 1; i < sz; i++) st[0][i] = {h[euler[i]], euler[i]};
    for (int j = 1; j <= LG; j++)
        for (int i = 1; i + (1 << j) - 1 < sz; i++)
            st[j][i] = min(st[j - 1][i], st[j - 1][i + (1 << (j - 1))]);
}

inline int lca(int l, int r)
{
    l = id[l];
    r = id[r];
    if (l > r) swap(l, r);
//    assert(r-l+1<=n);
    int k = lgs[(r - l + 1)];
    return min(st[k][l], st[k][r - (1 << k) + 1]).ss;
}

inline void add(int x)
{
    x = c[x];
    in_set[x]++;
    if (in_set[x] == 1)
    {
        cur += h[x];
        if (s.size() == 0) return s.insert(in[x]), void();
        auto it = s.lower_bound(in[x]);
        if (it == s.begin())
            cur -= h[lca(x, rev_in[*it])];
        else if (it == s.end())
            cur -= h[lca(x, rev_in[*prev(it)])];
        else
        {
            auto u = rev_in[*it], v = rev_in[*prev(it)];
            cur += h[lca(u, v)];
            cur -= h[lca(u, x)];
            cur -= h[lca(v, x)];
        }
    }
    s.insert(in[x]);
}

inline void del(int x)
{
    x = c[x];
    in_set[x]--;
    if (in_set[x] == 0)
    {
        cur -= h[x];
        if (s.size() == 1) return s.clear(), void();
        auto it = s.lower_bound(in[x]);
        if (it == s.begin())
            cur += h[lca(x, rev_in[*next(it)])];
        else if (next(it) == s.end())
            cur += h[lca(x, rev_in[*prev(it)])];
        else
        {
            auto u = rev_in[*prev(it)], v = rev_in[*next(it)];
            cur -= h[lca(u, v)];
            cur += h[lca(u, x)];
            cur += h[lca(v, x)];
        }
        s.erase(it);
    }

}

signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL); //cout.tie(0);
//    freopen("test.inp", "r", stdin);
//    freopen("test.out", "w", stdout);
    cin >> n >> m >> q;
    for (int i = 1, u, v; i < n; i++)
        cin >> u >> v,
        adj[u].push_back(v),
        adj[v].push_back(u);
    for (int i = 1; i <= m; i++)
        cin >> c[i];
    dfs();
    for (int i = 1; i <= 3*n; i++) lgs[i] = __lg(i);
    build();
    for (int i = 1; i <= n; i++) rev_in[in[i]] = i;
    for (int i = 1; i <= q; i++)
        cin >> qr[i].l >> qr[i].r, qr[i].id = i, qr[i].calcOrder();
    sort(qr + 1, qr + q + 1);
    for (int i = 1, l = 1, r = 0; i <= q; i++)
    {
        auto [lx, rx, id, tmp] = qr[i];
        while (r < rx) add(++r);
        while (l > lx) add(--l);
        while (r > rx) del(r--);
        while (l < lx) del(l++);
        ans[id] = cur - h[lca(rev_in[*s.begin()], rev_in[*s.rbegin()])] + 1;
    }
    for (int i = 1; i <= q; i++) cout << ans[i] << "\n";
}

• Subtask 1: 5 / 5
• Subtask 2: 5 / 5
• Subtask 3: 0 / 7
• Subtask 4: 0 / 18
• Subtask 5: 0 / 24
• Subtask 6: 0 / 41