Codeforces-solutions/Codeforces Round 881 (Div. 3)/E. Tracking Segments.cpp

/* Problem URL: https://codeforces.com/problemset/problem/1843/E */

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;

#define V vector

#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)

#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)

#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()

using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;

using ll = long long;

using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;

template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
    os << vec[0];
    for (size_t i = 1; i < vec.size(); i++) {
        os << ' ' << vec[i];
    }
    os << '\n';
    return os;
}

template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
    for (auto &i : vec) {
        is >> i;
    }
    return is;
}

template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
    for (auto &i : vec) {
        os << i[0];
        for (size_t j = 1; j < i.size(); j++) {
            os << ' ' << i[j];
        }
        os << '\n';
    }
    return os;
}

template<class v>
auto operator>>(istream  &is, vector<vector<v>> &vec)->istream& {
    for (auto &i : vec) {
        for (auto &j : i) {
            is >> j;
        }
    }
    return is;
}

const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;

const int MAX = 1e5+10, UPD = 1e5+10, LOG = 18;
const int MAXS = 2*MAX+UPD*LOG;

namespace perseg {
	ll seg[MAXS];
	int rt[UPD], L[MAXS], R[MAXS], cnt, t;
	int n, *v;

	ll build(int p, int l, int r) {
		if (l == r) return seg[p] = v[l];
		L[p] = cnt++, R[p] = cnt++;
		int m = (l+r)/2;
		return seg[p] = build(L[p], l, m) + build(R[p], m+1, r);
	}
	void build(int n2, int* v2) {
		n = n2, v = v2;
		rt[0] = cnt++;
		build(0, 0, n-1);
	}
	ll query(int a, int b, int p, int l, int r) {
		if (b < l or r < a) return 0;
		if (a <= l and r <= b) return seg[p];
		int m = (l+r)/2;
		return query(a, b, L[p], l, m) + query(a, b, R[p], m+1, r);
	}
	ll query(int a, int b, int tt) {
		return query(a, b, rt[tt], 0, n-1);
	}
	ll update(int a, int x, int lp, int p, int l, int r) {
		if (l == r) return seg[p] = seg[lp]+x;
		int m = (l+r)/2;
		if (a <= m)
			return seg[p] = update(a, x, L[lp], L[p]=cnt++, l, m) + seg[R[p]=R[lp]];
		return seg[p] = seg[L[p]=L[lp]] + update(a, x, R[lp], R[p]=cnt++, m+1, r);
	}
	int update(int a, int x, int tt=t) {
		update(a, x, rt[tt], rt[++t]=cnt++, 0, n-1);
		return t;
	}
};

void pre()
{

}

#define TEST 1

void solve()
{
    perseg::t = 0;
    perseg::cnt = 0;

    int n, m;
    cin >> n >> m;

    V<pair<int, int>> p(m);
    repv(i, p) {
        cin >> i.first >> i.second;
        i.first--, i.second--;
    }

    vi v2(n);
    perseg::build(n, v2.data());

    int q;
    cin >> q;
    vi que(q);
    vi pref(n + 1);
    repv(i, que) {
        cin >> i;
        i--;
        perseg::update(i, 1);
        pref[i + 1]++;
    }

    rep(i, n) {
        pref[i + 1] += pref[i];
    }

    int ans = oo;
    repv(seg, p) {
        int count = pref[seg.second + 1] - pref[seg.first];
        int lim = ((seg.second - seg.first + 1) >> 1) + 1;
        if (count < lim) {
            continue;
        }

        int low = 1;
        int high = q;
        int act = q;
        while (low <= high) {
            int mid = (low + high) >> 1;

            int cur = perseg::query(seg.first, seg.second, mid);
            if (cur >= lim) {
                act = mid;
                high = mid - 1;
                continue;
            }

            low = mid + 1;
        }

        rmin(ans, act);
    }

    cout << (ans == oo ? -1 : ans) << '\n';
}

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    pre();

    int t;
    (TEST && cin >> t) || (t = 1);
    while (t--) {
        solve();
    }
}