#include <bits/stdc++.h>

using i64 = int64_t;

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);

    int n, q;
    std::cin >> n >> q;

    std::vector<int> a(n), b(n);
    for (int i = 0; i < n; ++i) {
        std::cin >> a[i];
    }
    for (int i = 0; i < n; ++i) {
        std::cin >> b[i];
    }
    a.insert(a.end(), a.begin(), a.end());
    b.insert(b.end(), b.begin(), b.end());

    bool flawed = false;
    for (int i = 0; i < n; ++i) {
        if (a[i] + b[i] < 0) {
            flawed = true;
            break;
        }
    }
    if (std::accumulate(a.begin(), a.end(), 0LL) < 0 ||
        std::accumulate(b.begin(), b.end(), 0LL) < 0) {
            flawed = true;
    }
    if (flawed) {
        for (int i = 0; i < q; ++i) {
            std::cout << "flawed\n";
        }
        return 0;
    }

    std::vector<i64> sa(n * 2), sb(n * 2);
    sa[0] = a[0];
    sb[0] = b[0];
    for (int i = 1; i < sa.size(); ++i) {
        sa[i] = sa[i - 1] + a[i];
        sb[i] = sb[i - 1] + b[i];
    }
    // std::partial_sum(a.begin(), a.end(), sa.begin());
    // std::partial_sum(b.begin(), b.end(), sb.begin());

    while (q--) {
        int s, t;
        std::cin >> s >> t;
        --s, --t;

        if (s == t) {
            std::cout << "0\n";
        } else {
            if (s > t) {
                t += n;
            }
            i64 ans = sa[t - 1] - (s ? sa[s - 1] : 0LL);
            if (s < t) {
                s += n;
            }
            ans = std::min(ans, sb[s - 1] - (t ? sb[t - 1] : 0LL));
            std::cout << ans << '\n';
        }
    }
}

answer.code: In function ‘int main()’:
answer.code:65:27: error: no matching function for call to ‘min(i64&, long long int)’
   65 |             ans = std::min(ans, sb[s - 1] - (t ? sb[t - 1] : 0LL));
      |                   ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/13/algorithm:60,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:51,
                 from answer.code:1:
/usr/include/c++/13/bits/stl_algobase.h:233:5: note: candidate: ‘template<class _Tp> constexpr const _Tp& std::min(const _Tp&, const _Tp&)’
  233 |     min(const _Tp& __a, const _Tp& __b)
      |     ^~~
/usr/include/c++/13/bits/stl_algobase.h:233:5: note:   template argument deduction/substitution failed:
answer.code:65:27: note:   deduced conflicting types for parameter ‘const _Tp’ (‘long int’ and ‘long long int’)
   65 |             ans = std::min(ans, sb[s - 1] - (t ? sb[t - 1] : 0LL));
      |                   ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
/usr/include/c++/13/bits/stl_algobase.h:281:5: note: candidate: ‘template<class _Tp, class _Compare> constexpr const _Tp& std::min(const _Tp&, const _Tp&, _Compare)’
  281 |     min(const _Tp& __a, const _Tp& __b, _Compare __comp)
      |     ^~~
/usr/include/c++/13/bits/stl_algobase.h:281:5: note:   template argument deduction/substitution failed:
answer.code:65:27: note:   deduced conflicting types for parameter ‘const _Tp’ (‘long int’ and ‘long long int’)
   65 |             ans = std::min(ans, sb[s - 1] - (t ? sb[t - 1] : 0LL));
      |                   ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/13/algorithm:61:
/usr/include/c++/13/bits/stl_algo.h:5775:5: note: candidate: ‘template<class _Tp> constexpr _Tp std::min(initializer_list<_Tp>)’
 5775 |     min(initializer_list<_Tp> __l)
      |     ^~~
/usr/include/c++/13/bits/stl_algo.h:5775:5: note:   template argument deduction/substitution failed:
answer.code:65:27: note:   mismatched types ‘std::initializer_list<_Tp>’ and ‘long int’
   65 |             ans = std::min(ans, sb[s - 1] - (t ? sb[t - 1] : 0LL));
      |                   ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
/usr/include/c++/13/bits/stl_algo.h:5785:5: note: candidate: ‘template<class _Tp, class _Compare> constexpr _Tp std::min(initializer_list<_Tp>, _Compare)’
 5785 |     min(initializer_list<_Tp> __l, _Compare __comp)
      |     ^~~
/usr/include/c++/13/bits/stl_algo.h:5785:5: note:   template argument deduction/substitution failed:
answer.code:65:27: note:   mismatched types ‘std::initializer_list<_Tp>’ and ‘long int’
   65 |             ans = std::min(ans, sb[s - 1] - (t ? sb[t - 1] : 0LL));
      |                   ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~