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 pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;
#define debug(s) for(auto x: s) cerr << x << " "; cerr << #s << "\n";
struct BIT{
int n;
vector<ll> sm;
BIT(int _n){
n = _n;
sm.resize(n);
}
void add(int in, int x){
in++;
while(in <= n) sm[in-1]+=x, in+=in&-in;
}
ll sum(int in){
in++;
ll s = 0;
while(in >= 1) s+=sm[in-1], in-=in&-in;
return s;
}
ll sum(int l, int r){
return sum(r)-(l == 0? 0:sum(l-1));
}
};
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, q; cin >> n >> q;
vector<ll> s(n);
for(ll &x: s) cin >> x;
vector<int> prev(n, -1);
stack<int> st;
for(int i = n-1; i >= 0; i--){
while(!st.empty() && s[i] > s[st.top()]) prev[st.top()] = i, st.pop();
st.push(i);
}
while(!st.empty()) st.pop();
vector<vector<int>> end(n+1);
vector<vector<pair<int, int>>> chng(n+1);
for(int i = 0; i < n; i++){
while(!st.empty() && s[st.top()] <= s[i]){
int x = st.top();
st.pop();
end[i-x-1].pb(x);
if(prev[x] == -1) continue;
if(s[prev[x]] <= s[i]) continue;
chng[i-prev[x]-1].pb({prev[x], i});
}
st.push(i);
}
while(!st.empty()) end[n-st.top()-1].pb(st.top()), st.pop();
vector<vector<array<int, 3>>> queries(n);
for(int i = 0; i < q; i++){
int t, l, r; cin >> t >> l >> r; t--, l--, r--;
queries[t].pb({l, r, i});
}
vector<ll> ans(q, 0);
BIT ss(n), bit1(n), bit2(n);
for(int i = 0; i < n; i++) ss.add(i, s[i]);
vector<ll> sth(n, 0);
for(int i = 0; i+1 < n; i++) sth[i] = max(0LL, s[i]-s[i+1]);
for(int t = 1; t <= n; t++){
for(int in: end[t-1]){
if(in != n-1) for(int i = in+1; i <= in+t-1; i++) ss.add(i, sth[in]);
sth[in] = 0;
}
for(auto [in, nxt]: chng[t-1]){
ll x = sth[in]-(s[in]-s[nxt]);
for(int i = in+1; i < nxt; i++) ss.add(i, x);
sth[in] = (s[in]-s[nxt]);
}
for(auto [l, r, in]: queries[t-1]){
ans[in]+=ss.sum(l, r);
int mx, a, b;
if(t <= r-l+1){
mx = t;
a = l, b = r-mx+1;
a--, b--;
a = max(a, 0);
}
else{
mx = r-l+1;
a = r-t+1, b = l;
a--, b--;
a = max(a, 0);
}
for(int i = a; i <= b; i++) ans[in]+=sth[i]*mx;
for(int i = a-1, c = mx-1; i >= 0 && c > 0; i--, c--) ans[in]+=sth[i]*c;
for(int i = b+1, c = mx-1; i < n && c > 0; i++, c--) ans[in]+=sth[i]*c;
}
}
for(ll x: ans) cout << x << "\n";
}
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