This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <algorithm>
#include <string>
#include <vector>
#include <cmath>
#include <chrono>
#include <ctime>
#include <set>
#include <map>
#include <stack>
#include <queue>
#include <deque>
#include <limits>
#include <iomanip>
#include <unordered_set>
#include <unordered_map>
#include <fstream>
#include <functional>
#include <random>
#include <cassert>
using namespace std;
typedef long long ll;
typedef long double ld;
#define ff first
#define ss second
struct Query {
int l;
int r;
int ind;
ll ans;
Query(int _l, int _r, int _ind) :l(_l), r(_r), ind(_ind), ans(0) {}
};
struct Edge {
int x;
int y;
Edge(int _x, int _y) :x(_x), y(_y) {}
};
ll ttt;
const ll INF = 1e18;
const ll MOD = 1e9 + 7;
const ll N = 200007;
const ll LG = 31;
ll n, m, k;
set<int>g[N];
deque<int>gd[N];
vector<Query>q;
vector<Edge>e;
int used[N];
// functions using set
bool dfs(int v) {
for (int to : g[v]) {
if (used[to] == used[v]) {
return true;
}
else if (!used[to]) {
used[to] = 3 - used[v];
if (dfs(to)) {
return true;
}
}
}
return false;
}
bool is_odd_cycle() {
for (int i = 1; i <= n; i++) {
used[i] = 0;
}
for (int i = 1; i <= n; i++) {
if (!used[i]) {
used[i] = 1;
if (dfs(i)) {
return true;
}
}
}
return false;
}
void remove_edges(const Query& query) {
for (int i = query.l; i <= query.r; i++) {
g[e[i].x].erase(e[i].y);
g[e[i].y].erase(e[i].x);
}
}
void add_edges(const Query& query) {
for (int i = query.l; i <= query.r; i++) {
g[e[i].x].insert(e[i].y);
g[e[i].y].insert(e[i].x);
}
}
bool do_query(const Query& query) {
remove_edges(query);
bool res = is_odd_cycle();
add_edges(query);
return res;
}
// functions using deque
bool dfs_d(int v) {
for (int to : gd[v]) {
if (used[to] == used[v]) {
return true;
}
else if (!used[to]) {
used[to] = 3 - used[v];
if (dfs_d(to)) {
return true;
}
}
}
return false;
}
bool is_odd_cycle_d() {
for (int i = 1; i <= n; i++) {
used[i] = 0;
}
for (int i = 1; i <= n; i++) {
if (!used[i]) {
used[i] = 1;
if (dfs_d(i)) {
return true;
}
}
}
return false;
}
void remove_edges_d(const Query& query) {
for (int i = query.l; i <= query.r; i++) {
gd[e[i].x].pop_front();
gd[e[i].y].pop_front();
}
}
void add_edges_d(const Query& query) {
for (int i = query.r; i >= query.l; i--) {
gd[e[i].x].push_front(e[i].y);
gd[e[i].y].push_front(e[i].x);
}
}
bool do_query_d(const Query& query) {
remove_edges_d(query);
bool res = is_odd_cycle_d();
add_edges_d(query);
return res;
}
void only_l_equals_one() {
// finding the first number i for which do_query(Query(0, i)) == false
int l = 0, r = m + 1;
while (l < r) {
int mid = (l + r) / 2;
if (do_query_d(Query(0, mid, 0))) {
l = mid + 1;
}
else {
r = mid;
}
}
for (int i = 0; i < k; i++) {
if (q[i].r >= l) {
cout << "NO\n";
}
else cout << "YES\n";
}
}
int main() {
//freopen("in.txt", "r", stdin);
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin >> n >> m >> k;
for (int i = 0; i < m; i++) {
int x, y;
cin >> x >> y;
g[x].insert(y);
g[y].insert(x);
gd[x].push_back(y);
gd[y].push_back(x);
e.push_back(Edge(x, y));
}
bool only1 = true;
for (int i = 0; i < k; i++) {
int l, r;
cin >> l >> r;
l--, r--;
if (l != 0)only1 = false;
q.push_back(Query(l, r, i));
}
if (n <= 2000 && m <= 2000 && k <= 2000) {
for (int i = 0; i < k; i++) {
if (do_query(q[i])) {
cout << "YES\n";
}
else {
cout << "NO\n";
}
}
}
else if (only1) {
only_l_equals_one();
}
}
/// ---- - -------- ------ -------- -- - - -
/// Just a reminder. Ubuntu password is I O I
/// ---- - -------- ------ -------- -- - - -
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