#include #include #include using namespace std; using ll = long long; using ull = unsigned long long; #define rep(i,n) for(int i=0; i<(n); i++) struct RQS { ll minx, maxx, mindx, maxdx, dx; }; RQS RQop(RQS l, RQS r) { RQS res; res.minx = min(l.minx, l.dx + r.minx); res.maxx = max(l.maxx, l.dx + r.maxx); res.mindx = min(min(l.mindx,r.mindx), (r.minx + l.dx) - l.maxx); res.maxdx = max(max(l.maxdx,r.maxdx), (r.maxx + l.dx) - l.minx); res.dx = l.dx + r.dx; return res; } RQS RQe() { return { 0,0,0,0,0 }; } using RQ = atcoder::segtree; RQS RQ_moveCCW(ll d){ return RQS{ -d,0,-d,0,-d }; } RQS RQ_moveCW(ll d){ return RQS{ 0,d,0,d,d }; } ll L,N,Q; vector A; vector dA; ll queryKey_D = 0; int ubound_A(ll t){ int l = 0, r = N+2; while(r-l > 1){ int m = (l+r) / 2; if(A[m-1] <= t) l = m; else r = m; } return l; } int main(){ cin >> L >> N >> Q; A.resize(N+1,0); rep(i,N) cin >> A[i+1]; RQ G(N); for(int i=0; i> b >> c; b = (b+queryKey_D) % L; c = (c+queryKey_D) % 1'000'000'000'000'000; ll ans = -1; // cout << "b = "<< b << ", c = " << c << endl; int sp = ubound_A(c); // cout << "sp = " << sp << endl; if(sp == N + 1){ //cout << "EASY" << endl; if(N%2 == 0) ans = b; else ans = L-b; } else if(sp%2 == 1 && A[sp] - c >= b){ ans = b; } else if(sp%2 == 0 && A[sp] - c >= L-b){ ans = L-b; } else{ // cout << "HARDEST" << endl; RQS preq = RQe(); if(sp != 0) preq = (sp%2 == 1) ? RQ_moveCCW(A[sp]-c) : RQ_moveCW(A[sp]-c); int spr = G.max_right(sp,[preq,b](RQS q)->bool { RQS qq = RQop(preq,q); return -b < qq.mindx && qq.maxdx < L-b; }); //cout << "spr = " << spr << endl; preq = RQop(preq,G.prod(sp,spr)); //cout << "preq = (" << preq.minx << ", " << preq.maxx << ", " << preq.mindx << ", " << preq.maxdx << ", " << preq.dx << ")" << endl; sp = spr; if(spr % 2 == 0) ans = (A[spr] - c) + (b + (preq.dx - preq.maxx)); else ans = (A[spr] - c) + ((L-b) - (preq.dx - preq.minx)); } queryKey_D = ans; cout << ans << "\n"; } return 0; } struct ios_do_not_sync{ ios_do_not_sync(){ ios::sync_with_stdio(false); cin.tie(nullptr); } } ios_do_not_sync_inst;