This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define ar array
#define sz(v) int(std::size(v))
#define rep(i,a,b) for (int i = a; i < b; ++i)
typedef long long i64;
typedef vector<int> vi;
i64 cdiv(i64 a, i64 b) { return (a+b-1)/b; }
struct FT {
vector<i64> t;
FT(int N) : t(N) {}
void add(int i, i64 x) {
while (i < sz(t)) t[i] += x, i |= i+1;
}
i64 sum(int i) {
i64 x = 0;
while (i >= 0) x += t.at(i), i &= i+1, i--;
return x;
}
i64 sum(int l, int r) { return sum(r)-sum(l-1); }
};
int main() {
ios::sync_with_stdio(0); cin.tie(0);
int N; i64 D; cin >> N >> D;
vector<i64> C(N); rep(i,0,N) cin >> C[i];
int Q; cin >> Q;
vector<vector<ar<int, 2>>> qr(N);
vector<i64> ans(Q);
rep(q,0,Q) {
int l, r; cin >> l >> r, l--, r--;
qr.at(r).push_back({l,q});
}
FT t(N), c0(N), c1(N);
auto A = [&](int i) {
return C.at(i) - t.sum(i);
};
vector<int> p;
rep(r,0,N) {
i64 v = C[r];
for (int i = sz(p)-1; i >= 0; i--) {
i64 a = A(p[i]); int j = i ? p[i-1]+1 : 0;
if (a <= v) break;
else {
auto w = cdiv(a-v, D);
t.add(j, D*w), t.add(p[i]+1, -D*w);
c0.add(0, w*(p[i]-j+1)), c0.add(j, w*j), c0.add(p[i]+1, -w*(p[i]+1));
c1.add(j, -w), c1.add(p[i]+1, w);
v = A(j);
}
}
while (sz(p)) {
int j = p.back();
if (A(j+1) - A(j) < D) p.pop_back();
else break;
}
p.push_back(r);
for (auto [l,q] : qr.at(r))
ans[q] = A(l) < 0 ? -1 : l*c1.sum(l)+c0.sum(l);
}
rep(q,0,Q) cout << ans[q] << '\n';
}
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