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#include <bits/stdc++.h>
using namespace std;
#define resetIO(x) \
freopen(#x ".in", "r", stdin), freopen(#x ".out", "w", stdout)
#define debug(fmt, ...) \
fprintf(stderr, "[%s:%d] " fmt "\n", __FILE__, __LINE__, ##__VA_ARGS__)
template <class _Tp>
inline _Tp& read(_Tp &x) {
bool sign = false;
char ch = getchar();
long double tmp = 1;
for (; !isdigit(ch); ch = getchar())
sign |= (ch == '-');
for (x = 0; isdigit(ch); ch = getchar())
x = x * 10 + (ch ^ 48);
if (ch == '.')
for (ch = getchar(); isdigit(ch); ch = getchar())
tmp /= 10.0, x += tmp * (ch ^ 48);
return sign ? (x = -x) : x;
}
template <class _Tp>
inline void write(_Tp x) {
if (x < 0)
putchar('-'), x = -x;
if (x > 9)
write(x / 10);
putchar((x % 10) ^ 48);
}
const int MAXN = 1e6 + 10;
const int LOGN = 20;
const int INFL = 0x3f3f3f3f;
bool m_be;
int n, m, q, k, h, cnt, len, is[MAXN], iu[MAXN], iv[MAXN], s[MAXN], nd[MAXN];
int idn, top, rt[MAXN], id[MAXN], dep[MAXN], fa[MAXN][LOGN], sta[MAXN];
int dfc1, bcc1, top1, sta1[MAXN], sfa1[MAXN], dfn1[MAXN], low1[MAXN], col1[MAXN];
int dfc2, bcc2, top2, sta2[MAXN], sfa2[MAXN], dfn2[MAXN], low2[MAXN], col2[MAXN];
vector<int> g[MAXN], tr[MAXN], vtr[MAXN];
bool ins1[MAXN], ins2[MAXN];
bool m_ed;
void tarjan1(int u, int f) {
sfa1[u] = f;
dfn1[u] = low1[u] = ++dfc1;
sta1[++top1] = u, ins1[u] = true;
int cntf = 0;
for (auto v : g[u]) {
if (v == f) {
++cntf;
continue;
}
if (!dfn1[v]) {
tarjan1(v, u);
low1[u] = min(low1[u], low1[v]);
} else if (ins1[v]) {
low1[u] = min(low1[u], dfn1[v]);
}
}
if (f && cntf > 1)
low1[u] = min(low1[u], dfn1[f]);
if (dfn1[u] == low1[u]) {
++bcc1;
while (true) {
int v = sta1[top1--];
ins1[v] = false;
col1[v] = bcc1;
if (u == v)
break;
}
}
}
void tarjan2(int u, int f) {
sfa2[u] = f;
dfn2[u] = low2[u] = ++dfc2;
sta2[++top2] = u, ins2[u] = true;
int cntf = 0;
for (auto v : vtr[u]) {
if (v == f) {
++cntf;
continue;
}
if (!dfn2[v]) {
tarjan2(v, u);
low2[u] = min(low2[u], low2[v]);
} else if (ins2[v]) {
low2[u] = min(low2[u], dfn2[v]);
}
}
if (f && cntf > 1)
low2[u] = min(low2[u], dfn2[f]);
if (dfn2[u] == low2[u]) {
++bcc2;
while (true) {
int v = sta2[top2--];
ins2[v] = false;
col2[v] = bcc2;
if (u == v)
break;
}
}
}
void addvedge(int u, int v) {
vtr[u].push_back(v);
vtr[v].push_back(u);
}
void build1(int u, int f) {
id[u] = ++idn, rt[u] = (f ? rt[f] : u);
dep[u] = dep[f] + 1, fa[u][0] = f;
for (int i = 1; i < LOGN; ++i)
fa[u][i] = fa[fa[u][i - 1]][i - 1];
for (auto v : tr[u])
if (v != f)
build1(v, u);
}
int lca(int u, int v) {
if (dep[u] < dep[v])
swap(u, v);
int t = dep[u] - dep[v];
for (int i = LOGN - 1; ~i; --i)
if ((t >> i) & 1)
u = fa[u][i];
if (u == v)
return u;
for (int i = LOGN - 1; ~i; --i)
if (fa[u][i] != fa[v][i])
u = fa[u][i], v = fa[v][i];
return fa[u][0];
}
void build2(int rtx, int cl) {
sta[top = 1] = rtx, vtr[rtx].clear();
for (int i = cl; i <= cnt && rt[s[i]] == rtx; ++i) {
if (s[i] == rtx)
continue;
int l = lca(s[i], sta[top]);
while (id[l] <= id[sta[top - 1]])
addvedge(sta[top - 1], sta[top]), --top;
if (l != sta[top])
vtr[l].clear(), addvedge(l, sta[top]), sta[top] = nd[++len] = l;
vtr[s[i]].clear(), sta[++top] = s[i];
}
for (int i = 1; i < top; ++i)
addvedge(sta[i], sta[i + 1]);
}
signed main() {
read(n), read(m), read(q);
for (int i = 1; i <= m; ++i) {
int u, v;
read(u), read(v);
if (u == v)
continue;
g[u].push_back(v);
g[v].push_back(u);
}
for (int i = 1; i <= n; ++i)
if (!dfn1[i])
tarjan1(i, 0);
for (int i = 1; i <= n; ++i) {
if (sfa1[i] && col1[i] != col1[sfa1[i]]) {
tr[col1[sfa1[i]]].push_back(col1[i]);
tr[col1[i]].push_back(col1[sfa1[i]]);
}
}
for (int i = 1; i <= bcc1; ++i)
if (!id[i])
build1(i, 0);
int rnd = 0;
for (int tt = 1; tt <= q; ++tt) {
bool answ = true;
read(k), read(h), cnt = bcc2 = dfc2 = 0;
for (int i = 1; i <= k; ++i)
read(is[i]), is[i] = (is[i] + rnd - 1) % n + 1;
for (int i = 1; i <= h; ++i) {
read(iu[i]), iu[i] = (iu[i] + rnd - 1) % n + 1;
read(iv[i]), iv[i] = (iv[i] + rnd - 1) % n + 1;
}
for (int i = 1; i <= k; ++i)
s[++cnt] = col1[is[i]];
for (int i = 1; i <= h; ++i)
s[++cnt] = col1[iu[i]], s[++cnt] = col1[iv[i]];
sort(s + 1, s + cnt + 1, [](int x, int y) {
return id[x] < id[y];
});
len = cnt = unique(s + 1, s + cnt + 1) - s - 1;
copy(s + 1, s + cnt + 1, nd + 1);
for (int i = 1; i <= cnt; ++i)
if (rt[s[i]] != rt[s[i - 1]])
build2(rt[s[i]], i);
for (int i = 1; i <= h; ++i)
if (col1[iu[i]] != col1[iv[i]])
addvedge(col1[iu[i]], col1[iv[i]]);
for (int i = 1; i <= len; ++i)
dfn2[nd[i]] = 0;
for (int i = 1; i <= len; ++i)
if (!dfn2[nd[i]])
tarjan2(nd[i], 0);
for (int i = 1; i <= k; ++i)
if (col2[col1[is[i]]] != col2[col1[is[1]]])
answ = false;
puts(answ ? "YES" : "NO"), (rnd += answ ? tt : 0) %= n;
}
return 0;
}
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