#include using namespace std; const long long INF = 10000000000000000; struct monoid{ bool id; long long mn, mx, inc, dec; monoid(){ id = true; } monoid(long long L, long long R){ id = false; mn = min(L, R); mx = max(L, R); inc = max(R - L, (long long) 0); dec = min(R - L, (long long) 0); } }; monoid f(monoid L, monoid R){ if (L.id){ return R; } if (R.id){ return L; } monoid ans; ans.id = false; ans.mn = min(L.mn, R.mn); ans.mx = max(L.mx, R.mx); ans.inc = max({L.inc, R.inc, R.mx - L.mn}); ans.dec = min({L.dec, R.dec, R.mn - L.mx}); return ans; } struct segment_tree{ int N; vector A; vector S; vector ST; segment_tree(vector A): A(A){ A.push_back(INF * 10); int N2 = A.size(); S = vector(N2 + 1); long long P = 0; S[0] = 0; for (int i = 0; i < N2; i++){ if (i % 2 == 0){ S[i + 1] = S[i] + (A[i] - P); } else { S[i + 1] = S[i] - (A[i] - P); } P = A[i]; } N = 1; while (N < N2){ N *= 2; } ST = vector(N * 2 - 1); for (int i = 0; i < N2; i++){ ST[N - 1 + i] = monoid(S[i], S[i + 1]); } for (int i = N - 2; i >= 0; i--){ ST[i] = f(ST[i * 2 + 1], ST[i * 2 + 2]); } } monoid range_fold(int L, int R, int i, int l, int r){ if (r <= L || R <= l){ return monoid(); } else if (L <= l && r <= R){ return ST[i]; } else { int m = (l + r) / 2; return f(range_fold(L, R, i * 2 + 1, l, m), range_fold(L, R, i * 2 + 2, m, r)); } } monoid query(long long tL, long long tR){ int L = lower_bound(A.begin(), A.end(), tL) - A.begin(); int R = lower_bound(A.begin(), A.end(), tR) - A.begin() - 1; if (R == L - 1){ if (L % 2 == 0){ return monoid(S[L + 1] - (A[L] - tL), S[L + 1] - (A[L] - tR)); } else { return monoid(S[L + 1] + (A[L] - tL), S[L + 1] + (A[L] - tR)); } } monoid l; if (L % 2 == 0){ l = monoid(S[L + 1] - (A[L] - tL), S[L + 1]); } else { l = monoid(S[L + 1] + (A[L] - tL), S[L + 1]); } monoid m = range_fold(L + 1, R + 1, 0, 0, N); monoid r; if (R % 2 == 0){ r = monoid(S[R + 1], S[R + 1] - (tR - A[R])); } else { r = monoid(S[R + 1], S[R + 1] + (tR - A[R])); } monoid ans = f(f(l, m), r); return ans; } }; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); long long L; int N, Q; cin >> L >> N >> Q; vector A(N); for (int i = 0; i < N; i++){ cin >> A[i]; } segment_tree ST(A); long long D = 0; for (int i = 0; i < Q; i++){ long long B, C; cin >> B >> C; long long x, t; if (i == 0){ x = B; t = C; } else { x = (B + D) % L; t = (C + D) % 1000000000000000; } long long tv = INF, fv = t - 1; while (tv - fv > 1){ long long mid = (tv + fv) / 2; monoid M = ST.query(t, mid); if (M.inc >= x || M.dec <= -L + x){ tv = mid; } else { fv = mid; } } D = tv - t; cout << D << "\n"; } }