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>
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
using namespace std;
typedef long long lint;
typedef pair<lint, lint> pi;
const int mod = 1e9 + 7;
const int MAXN = 200050;
const int MAXT = 530000;
struct intv{
int s, e; lint x;
};
struct seg{
int tree[MAXT], lim;
void init(int n){
for(lim = 1; lim <= n; lim <<= 1);
}
void upd(int x, int v){
for(int i = x+lim; i; i >>= 1){
tree[i] = max(tree[i], v);
}
}
int query(int s, int e){
s += lim;
e += lim;
int ret = 0;
while(s < e){
if(s%2 == 1) ret = max(ret, tree[s++]);
if(e%2 == 0) ret = max(ret, tree[e--]);
s >>= 1;
e >>= 1;
}
if(s == e) ret = max(ret, tree[s]);
return ret;
}
}seg;
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n, m;
cin >> n >> m;
vector<lint> a(n + 1), b(n);
seg.init(n);
for(int i = 1; i <= n; i++){
cin >> a[i], a[i] += a[i - 1];
seg.upd(i, a[i] - a[i-1]);
}
for(int i = 0; i < n; i++) cin >> b[i];
vector<intv> v;
{
vector<int> stk;
vector<int> l(n), r(n);
for(int i = 0; i < n; i++){
while(sz(stk) && b[stk.back()] > b[i]){
stk.pop_back();
}
l[i] = (sz(stk) ? stk.back() : -1);
stk.push_back(i);
}
stk.clear();
for(int i = n-1; i >= 0; i--){
while(sz(stk) && b[stk.back()] >= b[i]){
stk.pop_back();
}
r[i] = (sz(stk) ? stk.back() : n);
stk.push_back(i);
}
stk.clear();
for(int i = 0; i < n; i++){
lint lo = 0;
if(l[i] >= 0) lo = max(lo, b[l[i]]);
if(r[i] < n) lo = max(lo, b[r[i]]);
v.push_back({l[i] + 2, r[i], b[i] - lo});
}
}
for(int i = 0; i < m; i++){
int s, e; lint x;
cin >> s >> e >> x;
e--;
if(seg.query(s, e) > x){
cout << "-1\n";
continue;
}
lint ret = 0;
for(auto &j : v){
if(j.s <= s){
if(j.e >= e) ret += j.x * (a[e] - a[s - 1]);
else if(j.e >= s) ret += j.x * (a[j.e] - a[s - 1]);
}
else{
if(j.e >= e) ret += j.x * max(0ll, a[e] - a[j.s - 2] - x);
else ret += j.x * max(0ll, a[j.e] - a[j.s - 2] - x);
}
}
cout << ret << "\n";
}
}
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