#line 1 "correct.cpp"
#include <bits/stdc++.h>
#line 4 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/utility/int_alias.cpp"

using i32 = std::int32_t;
using u32 = std::uint32_t;
using i64 = std::int64_t;
using u64 = std::uint64_t;
using i128 = __int128_t;
using u128 = __uint128_t;
using isize = std::ptrdiff_t;
using usize = std::size_t;
#line 4 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/utility/rep.cpp"

class rep {
    struct Iter {
        usize itr;
        constexpr Iter(const usize pos) noexcept: itr(pos) { }
        constexpr void operator ++ () noexcept { ++itr; }
        constexpr bool operator != (const Iter& other) const noexcept { return itr != other.itr; }
        constexpr usize operator * () const noexcept { return itr; }
    };
    const Iter first, last;
public:
    explicit constexpr rep(const usize first, const usize last) noexcept: first(first), last(std::max(first, last)) { }
    constexpr Iter begin() const noexcept { return first; }
    constexpr Iter end() const noexcept { return last; }
};
#line 4 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/utility/revrep.cpp"

class revrep {
    struct Iter {
        usize itr;
        constexpr Iter(const usize pos) noexcept: itr(pos) { }
        constexpr void operator ++ () noexcept { --itr; }
        constexpr bool operator != (const Iter& other) const noexcept { return itr != other.itr; }
        constexpr usize operator * () const noexcept { return itr; }
    };
    const Iter first, last;
public:
    explicit constexpr revrep(const usize first, const usize last) noexcept: first(last - 1), last(std::min(first, last) - 1) { }
    constexpr Iter begin() const noexcept { return first; }
    constexpr Iter end() const noexcept { return last; }
};
#line 3 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/bit/ceil_log2.cpp"

constexpr u64 ceil_log2(const u64 x) {
    u64 e = 0;
    while (((u64) 1 << e) < x) ++e;
    return e;
}
#line 8 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/container/segment_tree.cpp"

template <class Monoid>
class SegmentTree {
    using M = Monoid;
    usize internal_size, seg_size;
    std::vector<M> data;

    void fetch(const usize k) { data[k] = data[2 * k] + data[2 * k + 1]; }

public:
    explicit SegmentTree(const usize size = 0, const M& value = M::zero()): 
        SegmentTree(std::vector<M>(size, value)) { }
    explicit SegmentTree(const std::vector<M>& vec): internal_size(vec.size()) {
        seg_size = 1 << ceil_log2(internal_size);
        data = std::vector<M>(2 * seg_size, M::zero());
        for (const usize i: rep(0, internal_size)) data[seg_size + i] = vec[i];
        for (const usize i: revrep(1, seg_size)) fetch(i);
    }

    usize size() const { return internal_size; }

    void assign(usize i, const M& value) {
        assert(i < internal_size);
        i += seg_size;
        data[i] = value;
        while (i > 1) {
            i >>= 1;
            fetch(i);
        }
    }

    M fold() const { return data[1]; }
    M fold(usize l, usize r) const {
        assert(l <= r and r <= internal_size);
        l += seg_size; r += seg_size;
        M ret_l = M::zero(), ret_r = M::zero();
        while (l < r) {
            if (l & 1) ret_l = ret_l + data[l++];
            if (r & 1) ret_r = data[--r] + ret_r;
            l >>= 1;
            r >>= 1;
        }
        return ret_l + ret_r;
    }

    template <class F>
    usize max_right(usize l, const F& f) const {
        assert(l <= internal_size);
        assert(f(M::zero()));
        if (l == internal_size) return internal_size;
        l += seg_size;
        M sum = M::zero();
        do {
            while (!(l & 1)) l >>= 1;
            if (!f(sum + data[l])) {
                while (l < seg_size) {
                    l = 2 * l;
                    if (f(sum + data[l])) sum = sum + data[l++];
                }
                return l - seg_size;
            }
            sum = sum + data[l++];
        } while ((l & -l) != l);
        return internal_size;
    }

    template <class F>
    usize min_left(usize r, const F& f) const {
        assert(r <= internal_size);
        assert(f(M::zero()));
        if (r == 0) return 0;
        r += seg_size;
        M sum = M::zero();
        do {
            r -= 1;
            while (r > 1 and (r & 1)) r >>= 1;
            if (!f(data[r] + sum)) {
                while (r < seg_size) {
                    r = 2 * r + 1;
                    if (f(data[r] + sum)) sum = data[r--] + sum;
                }
                return r + 1 - seg_size;
            }
            sum = data[r] + sum;
        } while ((r & -r) != r);
        return 0;
    }
};
#line 3 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/utility/infty.cpp"

template <class T, T Div = 2>
constexpr T INFTY = std::numeric_limits<T>::max() / Div;
#line 2 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/utility/setmin.cpp"

template <class T>
bool setmin(T& lhs, const T& rhs) {
    if (lhs > rhs) {
        lhs = rhs;
        return true;
    }
    return false;
}
#line 7 "correct.cpp"

constexpr i64 MAX_T = 1000000000000000;

struct Monoid {
    static Monoid zero() {
        return Monoid { -INFTY<i64>, INFTY<i64>, 0, 0 };
    }
    i64 max, min, difmax, difmin;
    Monoid operator + (const Monoid& other) const {
        return Monoid { 
            std::max(max, other.max), 
            std::min(min, other.min), 
            std::max({ difmax, other.difmax, other.max - min }), 
            std::min({ difmin, other.difmin, other.min - max })
        };
    }
};

template <class T>
using Vec = std::vector<T>;

int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);
    i64 L;
    usize N, Q;
    std::cin >> L >> N >> Q;
    Vec<i64> A(N + 2);
    for (const auto i: rep(0, N)) {
        std::cin >> A[i + 1];
    }
    A[0] = 0;
    A[N + 1] = 2 * MAX_T + 5;
    Vec<i64> X(N + 2);
    for (const auto i: rep(0, N + 1)) {
        X[i + 1] = X[i] + (A[i + 1] - A[i]) * (i % 2 == 0 ? 1 : -1);
    }
    SegmentTree<Monoid> seg;
    {
        Vec<Monoid> vec(N + 2, Monoid::zero());
        for (const auto i: rep(0, N + 2)) {
            vec[i].max = vec[i].min = X[i];
        }
        seg = SegmentTree(vec);
    }
    i64 LAST = 0;
    while (Q--) {
        i64 B, C;
        std::cin >> B >> C;
        const i64 x = (B + LAST) % L;
        const i64 t = (C + LAST) % MAX_T;
        const usize first = std::upper_bound(A.begin(), A.end(), t) - A.begin();
        assert(first > 0);
        i64 ans = INFTY<i64>;
        if (x == 0) {
            ans = 0;
        }
        else {
            const auto rotL = x;
            const auto rotR = L - x;
            const auto start = X[first - 1] + (t - A[first - 1]) * ((first - 1) % 2 == 0 ? 1 : -1);
            const auto ok = seg.max_right(first, [&](const Monoid& m) {
                return !(m.max - start >= rotL or m.min - start <= -rotR or m.difmax >= rotL or m.difmin <= -rotR);
            }) + 1;
            const auto m = seg.fold(first, ok);
            if ((ok - 2) % 2 == 0) {
                if (m.max - start >= rotL) {
                    setmin(ans, (A[ok - 1] - t) - ((m.max - start) - rotL));
                }
                if (m.difmax >= rotL) {
                    setmin(ans, (A[ok - 1] - t) - ((m.difmax - rotL)));
                }
            }
            else {
                if (m.min - start <= -rotR) {
                    setmin(ans, (A[ok - 1] - t) - ((-rotR) - (m.min - start)));
                }
                if (m.difmin <= -rotR) {
                    setmin(ans, (A[ok - 1] - t) - ((-rotR) - m.difmin));
                }
            }
        }
        std::cout << ans << '\n';
        LAST = ans;
    }
}