Cod sursa(job #3194066)

Utilizator andrei_C1Andrei Chertes andrei_C1 Data 16 ianuarie 2024 20:25:56
Problema Range minimum query Scor 10
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.45 kb
#include <bits/stdc++.h>

using namespace std;

ifstream fin("rmq.in");
ofstream fout("rmq.out");

const int kN = 1e5;
const int kM = 1e6;

int n, root, v[kN], st[kN], ans[kM], anc[kN], up[kN], sz[kN];
vector<int> adj[kN];
vector<pair<int, int>> qs[kN];

void buidTree() {
	int head = -1;
	for(int i = 0; i < n; i++) {
		int last = -1;
		while(head >= 0 && v[st[head]] >= v[i]) {
			last = st[head];
			head--;
		}
		if(head >= 0) {
			// p[i] = st[head];
			adj[st[head]].emplace_back(i);
		} else {
			root = i;
		}
		if(last >= 0) {
			// p[last] = i;
			adj[i].emplace_back(last);
		}
		head++;
		st[head] = i;
	}
}

void makeSet(int u) {
	up[u] = u;
	sz[u] = 1;
}

int findRoot(int u) {
	if(u == up[u]) {
		return u;
	}
	return up[u] = findRoot(up[u]);
}

bool unite(int u, int v) {
	u = findRoot(u);
	v = findRoot(v);
	if(u == v) {
		return false;
	}
	if(sz[u] > sz[v]) {
		swap(u, v);
	}
	up[u] = v;
	sz[v] += sz[u];
	return true;
}

void dfs(int u = root) {
	makeSet(u);
	anc[u] = u;
	for(const auto &it: adj[u]) {
		dfs(it);
		unite(u, it);
		anc[findRoot(it)] = u;
	}
	for(const auto &it: qs[u]) {
		int lca = anc[findRoot(it.first)];
		ans[it.second] = v[lca];
	}
}

int main() {
	int m;
	fin >> n >> m;
	for(int i = 0; i < n; i++) {
		fin >> v[i];
	}
	buidTree();
	for(int i = 0; i < m; i++) {
		int l, r;
		fin >> l >> r;
		l--; r--;
		qs[l].emplace_back(r, i);
		qs[r].emplace_back(l, i);
	}
	dfs();
	for(int i = 0; i < m; i++) {
		fout << ans[i] << '\n';
	}
	return 0;
}