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 int long long
#define double long double
#define FOR(i, l, r, d) for(int i=(l); i<=(r); i+=(d))
#define szof(x) ((int)(x).size())
#define vi vector<int>
#define pii pair<int, int>
#define F first
#define S second
#define pb push_back
#define eb emplace_back
#define mkp make_pair
#define lsb(x) ((x)&(-(x)))
const int INF = INT_MAX;
const int LNF = INF*INF;
const int MOD = 1000000007;
const int mod = 998244353;
const double eps = 1e-12;
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("unroll-loops")
const int MAX = 200010;
int n, q;
int arr[MAX];
int l[MAX], r[MAX];
int cnt[MAX], sum[MAX];
struct Query{
int l, r, t, id;
};
Query query[MAX];
int res[MAX];
vi ev[MAX];
int owo;
void modify(int id, int val){
owo += val; //
int pos = id;
//if(val == 1) cerr<<"+ ";
//else cerr<<"- ";
//cerr<<id<<endl;
while(pos < n){
cnt[pos] += val;
sum[pos] += arr[id] * val;
pos += lsb(pos);
}
}
int search(int qcnt){
int ret = 0;
int ptr = 0;
for(int j = 19; j >= 0; j--){
int np = ptr + (1<<j);
if(np >= n) continue;
if(qcnt > cnt[np]){
qcnt -= cnt[np];
ret += sum[np];
ptr = np;
}
}
if(ptr + 1 <= n){
ret += qcnt * arr[ptr + 1];
}
return ret;
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin>>n>>q;
FOR(i, 1, n, 1){
cin>>arr[i];
}
FOR(i, 1, q, 1){
cin>>query[i].t>>query[i].l>>query[i].r;
query[i].id = i;
}
sort(query+1, query+q+1, [&](Query a, Query b){
return (a.t < b.t);
});
arr[0] = arr[n+1] = INF;
// l
vi stk;
stk.pb(0);
FOR(i, 1, n, 1){
while(arr[stk.back()] < arr[i]) stk.pop_back();
l[i] = stk.back();
stk.pb(i);
}
stk.clear();
stk.pb(n+1);
for(int i=n; i>=1; i--){
while(arr[stk.back()] <= arr[i]) stk.pop_back();
r[i] = stk.back();
stk.pb(i);
}
// + : [1, r[i] - i - 1]
// - : [i - l[i], i - l[i] + (r[i] - i - 1)]
FOR(i, 1, n, 1){
int ilen = r[i] - i - 1, dt = i - l[i];
if(l[i] == 0){
FOR(j, 1, ilen, 1){
if(j > n) break;
ev[j].pb(i);
}
}
else{
if(ilen < dt){
FOR(j, 1, ilen, 1){
if(j > n) break;
ev[j].pb(i);
}
FOR(j, dt, dt + ilen, 1){
if(j > n) break;
ev[j].pb(-i);
}
}
else{
FOR(j, 1, dt - 1, 1){
if(j > n) break;
ev[j].pb(i);
}
FOR(j, ilen + 1, dt + ilen, 1){
if(j > n) break;
ev[j].pb(-i);
}
}
}
}
// t = 0
FOR(i, 1, n, 1){
modify(i, 1);
}
int ptr = 0;
FOR(i, 1, q, 1){
while(ptr < query[i].t){
// ptr -> ptr+1
ptr++;
for(int e : ev[ptr]){
if(e > 0) modify(e, 1);
else modify(-e, -1);
}
assert(owo == n);
}
res[query[i].id] = search(query[i].r) - search(query[i].l - 1);
//cerr<<"query ["<<query[i].l<<", "<<query[i].r<<"] "<<endl;
}
FOR(i, 1, q, 1){
cout<<res[i]<<'\n';
}
return 0;
}
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