# include <bits/stdc++.h>
# define RG register
# define IL inline
# define Fill(a, b) memset(a, b, sizeof(a))
using namespace std;
typedef long long ll;
const int _(2e5 + 5);
const int __(8e6);

IL int Input(){
    RG int x = 0, z = 1; RG char c = getchar();
    for(; c < '0' || c > '9'; c = getchar()) z = c == '-' ? -1 : 1;
    for(; c >= '0' && c <= '9'; c = getchar()) x = (x << 1) + (x << 3) + (c ^ 48);
    return x * z;
}

int n, m, rt[_], tot, o[_], len, a[_], vis[_];
struct HJT{
    int ls, rs, sz;
} T[__];

IL void Modify(RG int &x, RG int l, RG int r, RG int p, RG int v){
    T[++tot] = T[x], T[x = tot].sz += v;
    if(l == r) return;
    RG int mid = (l + r) >> 1;
    if(p <= mid) Modify(T[x].ls, l, mid, p, v);
    else Modify(T[x].rs, mid + 1, r, p, v);
}

IL int Query(RG int x, RG int l, RG int r, RG int L, RG int R){
    if(!x) return 0;
    if(L <= l && R >= r) return T[x].sz;
    RG int mid = (l + r) >> 1, ret = 0;
    if(L <= mid) ret = Query(T[x].ls, l, mid, L, R);
    if(R > mid) ret += Query(T[x].rs, mid + 1, r, L, R);
    return ret;
}

IL int Calc(RG int x, RG int l, RG int r, RG int k){
    if(l == r) return l;
    RG int mid = (l + r) >> 1, s = T[T[x].ls].sz;
    if(k <= s) return Calc(T[x].ls, l, mid, k);
    return Calc(T[x].rs, mid + 1, r, k - s);
}

int main(RG int argc, RG char* argv[]){
    for(RG int t = Input(), Case = 1; Case <= t; ++Case){
        Fill(T, 0), Fill(rt, 0), Fill(vis, 0), tot = 0;
        n = Input(), m = Input();
        for(RG int i = 1; i <= n; ++i) o[i] = a[i] = Input();
        sort(o + 1, o + n + 1), len = unique(o + 1, o + n + 1) - o - 1;
        for(RG int i = n; i; --i){
            a[i] = lower_bound(o + 1, o + len + 1, a[i]) - o;
            rt[i] = rt[i + 1];
            if(!vis[a[i]]) vis[a[i]] = i, Modify(rt[i], 1, n, i, 1);
            else{
                Modify(rt[i], 1, n, vis[a[i]], -1);
                vis[a[i]] = i;
                Modify(rt[i], 1, n, i, 1);
            }
        }
        printf("Case #%d:", Case);
        for(RG int i = 1, ans = 0; i <= m; ++i){
            RG int l = Input(), r = Input(), ql, qr, num;
            ql = min((l + ans) % n + 1, (r + ans) % n + 1);
            qr = max((l + ans) % n + 1, (r + ans) % n + 1);
            num = Query(rt[ql], 1, n, ql, qr);
            printf(" %d", ans = Calc(rt[ql], 1, n, (num + 1) >> 1));
        }
        puts("");
    }
    return 0;
}