#include <bits/stdc++.h>   using namespace std;   pair<int, int> _e[600005], ex[600005];   vector<int> ee[600005];   int nt, rr = 0, dn = 1, colnum, dfnn, _enum, nn, mm, n, m, ca, idnum, num, top,           hd[600005], dfn[600005], low[600005], instk[600005], a[600005],           b[600005], col[600005], dffn[600005], dep[600005], fa[600005][20],           lg[600005], vis[600005], stk[600005], id[600005];   struct enode {     int to, nxt;   } e[600005];   int rt(int element) {     element = (element + rr) % nt;     if (!element) element = nt;     return element;   }   void add(int u, int v) {     e[++dn] = (enode){v, hd[u]};     hd[u] = dn;   }   void tarjan(int x, int lst) {     int i, v;     instk[x] = 1, dfn[x] = low[x] = ++dfnn;     for (i = hd[x]; i; i = e[i].nxt) {       v = e[i].to;       if (i == lst || i == (lst ^ 1)) continue;       if (!dfn[v]) {         tarjan(v, i);         if (low[x] > low[v]) low[x] = low[v];       } else if (instk[v]) {         if (low[x] > dfn[v]) low[x] = dfn[v];       }     }     for (i = hd[x]; i; i = e[i].nxt) {       v = e[i].to;       if (i == lst || i == (lst ^ 1)) continue;       if (low[v] <= dfn[x]) {         ee[x].push_back(v);         ee[v].push_back(x);       } else         _e[++_enum] = make_pair(x, v);     }     instk[x] = 0;   }   void dfs(int x) {     col[x] = colnum;     for (auto v : ee[x])       if (!col[v]) dfs(v);   }   void dfs1(int x, int father) {     int i;     dffn[x] = ++dfnn;     dep[x] = dep[father] + 1;     fa[x][0] = father;     for (i = 1; i <= lg[dep[x]]; i++) fa[x][i] = fa[fa[x][i - 1]][i - 1];     for (i = hd[x]; i; i = e[i].nxt)       if (!dffn[e[i].to]) dfs1(e[i].to, x);   }   int getlca(int x, int y) {     int i;     if (dep[x] < dep[y]) swap(x, y);     for (i = lg[dep[x]]; i >= 0; i--)       if (dep[fa[x][i]] >= dep[y]) x = fa[x][i];     if (x == y) return x;     for (i = lg[dep[x]]; i >= 0; i--)       if (fa[x][i] != fa[y][i]) {         x = fa[x][i];         y = fa[y][i];       }     return fa[x][0];   }   void add2(int u, int v) {     add(u, v);     add(v, u);   }   void dfss(int x) {     vis[x] = 1;     for (auto v : ee[x])       if (!vis[v]) dfss(v);   }   void solve(int t) {     int i, flag = 1;     for (i = 1; i <= mm; i++) add2(ex[i].first, ex[i].second);     _enum = dfnn = 0;     tarjan(a[1], 0);     dfss(a[1]);     for (i = 1; i <= nn; i++)       if (!vis[a[i]]) flag = 0;     puts(flag ?  YES  :  NO );     if (flag) rr = (rr + t) % nt;     dn = 1;     for (i = 1; i <= idnum; i++) {       hd[id[i]] = vis[id[i]] = low[id[i]] = dfn[id[i]] = 0;       ee[id[i]].clear();     }   }   void build() {     int i, lca;     top = 0, idnum = 0;     for (i = 1; i <= num; i++) {       if (!top) {         stk[top = 1] = b[i];         id[++idnum] = b[i];         continue;       }       lca = getlca(stk[top], b[i]);       if (!lca) {         while (top > 1) {           add2(stk[top - 1], stk[top]);           top--;         }         stk[top = 1] = b[i];         id[++idnum] = b[i];         continue;       }       while (top > 1 && dep[stk[top - 1]] > dep[lca]) {         add2(stk[top - 1], stk[top]);         top--;       }       if (dep[stk[top]] > dep[lca]) add2(lca, stk[top--]);       if (stk[top] != lca) {         stk[++top] = lca;         id[++idnum] = lca;       }       stk[++top] = b[i];       id[++idnum] = b[i];     }     while (top > 1) {       add2(stk[top - 1], stk[top]);       top--;     }   }   int main() {     int i, u, v, t, xx, yy;     cin >> n >> m >> ca;     nt = n;     for (i = 1; i <= m; i++) {       cin >> u >> v;       if (u != v) add2(u, v);     }     for (i = 1; i <= n; i++)       if (!dfn[i]) tarjan(i, 0);     for (i = 1; i <= n; i++)       if (!col[i]) {         colnum++;         dfs(i);       }     dn = 1;     for (i = 1; i <= n; i++) hd[i] = 0;     for (i = 1; i <= _enum; i++) add2(col[_e[i].first], col[_e[i].second]);     n = colnum;     dep[0] = -1;     lg[1] = 0;     dfnn = 0;     for (i = 2; i <= n; i++) lg[i] = lg[i >> 1] + 1;     for (i = 1; i <= n; i++)       if (!dffn[i]) dfs1(i, 0);     dn = 1;     for (i = 1; i <= n; i++) {       hd[i] = dfn[i] = low[i] = 0;       ee[i].clear();     }     for (t = 1; t <= ca; t++) {       cin >> nn >> mm;       num = nn;       for (i = 1; i <= nn; i++) {         cin >> xx;         a[i] = rt(xx);       }       for (i = 1; i <= mm; i++) {         cin >> xx >> yy;         ex[i].first = rt(xx);         ex[i].second = rt(yy);       }       for (i = 1; i <= nn; i++) a[i] = b[i] = col[a[i]];       for (i = 1; i <= mm; i++) {         ex[i] = make_pair(col[ex[i].first], col[ex[i].second]);         b[++num] = ex[i].first;         b[++num] = ex[i].second;       }       sort(a + 1, a + nn + 1, [&](int x, int y) { return dffn[x] < dffn[y]; });       nn = unique(a + 1, a + nn + 1) - a - 1;       sort(b + 1, b + num + 1, [&](int x, int y) { return dffn[x] < dffn[y]; });       num = unique(b + 1, b + num + 1) - b - 1;       build();       solve(t);     }     return 0;   }