//Challenge: Accepted
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
#ifdef zisk
void debug(){cout << endl;}
template<class T, class ... U> void debug(T a, U ... b){cout << a << " ", debug(b...);}
template<class T> void pary(T l, T r) {
while (l != r) cout << *l << " ", l++;
cout << endl;
}
#else
#define debug(...) 0
#define pary(...) 0
#endif
#define ll long long
#define maxn 200005
#define pii pair<ll, ll>
#define ff first
#define ss second
#define io ios_base::sync_with_stdio(0);cin.tie(0);
const ll inf = 1LL<<60;
struct sparse_segtree{
struct node{
ll m, tag, k;
node *lef, *rig;
node(){m = tag = k = 0, lef = rig = NULL;}
node(ll a, ll b, ll c){m = a, tag = b, k = c;}
};
node *root = new node();
void add(node * &x) {
if (x == NULL) {
x = new node();
}
}
ll calc(int l, int r, ll m) {
return m * (l + r - 1) * (r - l) / 2;
}
void modify(node *cur, ll l, ll r, ll ql, ll qr, ll m, ll k) {
//if (cur == root) debug(ql, qr, m, k);
if (r <= l || qr <= l || ql >= r) return;
if (ql <= l && qr >= r) {
cur->m += m;
cur->tag += k;
return;
}
ll mid = (l + r) / 2;
add(cur->lef), add(cur->rig);
modify(cur->lef, l, mid, ql, qr, m, k);
modify(cur->rig, mid, r, ql, qr, m, k);
cur->k = cur->lef->k + cur->rig->k + calc(l, m, cur->lef->m) + calc(m, r, cur->rig->m) +
cur->lef->tag + cur->rig->tag;
}
ll query(node *cur, ll l, ll r, int x) {
if (r <= l || x < l || x >= r) return 0;
if (r - l == 1) return calc(l, r, cur->m) + cur->k + cur->tag;
ll m = (l + r) / 2;
ll lef = (cur->lef ? query(cur->lef, l, m, x) : 0);
ll rig = (cur->rig ? query(cur->rig, m, r, x) : 0);
return (x < m ? lef : rig) + cur->tag + cur->m * x;
}
} tr;
struct segtree{
pii seg[4*maxn];
int type = 0;
void init(int cur, int l, int r, ll a[]) {
if (r <= l) return;
if (r - l == 1) {
seg[cur] = {a[l], l};
return;
}
int m = (l + r) / 2;
init(cur*2, l, m, a), init(cur*2+1, m, r, a);
seg[cur] = min(seg[cur*2], seg[cur*2+1]);
if (type == 1) seg[cur] = max(seg[cur*2], seg[cur*2+1]);
}
pii query(int cur, int l, int r, int ql, int qr) {
if (r <= l || ql >= r || qr <= l) return (type ? make_pair(0LL, (ll)l) : make_pair(inf, (ll)l));
if (ql <= l && qr >= r) return seg[cur];
int m = (l + r) / 2;
pii vl = query(cur*2, l, m, ql, qr), vr = query(cur*2+1, m, r, ql, qr);
if (type) return max(vl, vr);
else return min(vl,vr);
}
} ma, mb;
struct query{
int c, u, id;
query(){c = u = id = 0;}
query(int b, int p, int q){c = b, u = p, id = q;}
};
ll a[maxn], b[maxn], pref[maxn];
int prv[maxn];
vector<query> que[maxn];
ll ans[maxn];
int main() {
io
int n, m;
cin >> n >> m;
for (int i = 1;i<= n;i++) cin >> a[i], pref[i] = a[i] + pref[i-1];
for (int i = 1;i <= n;i++) cin >> b[i];
ma.type = 1;
ma.init(1, 1, n+1, a);
mb.init(1, 1, n+1, b);
stack<int> stk;
for (int i = 0;i < m;i++) {
int s, t, u;
cin >> s >> t >> u;
if (ma.query(1, 1, n+1, s, t).ff > u) {
ans[i] = -1;
} else {
que[s].push_back(query(1, u, i));
ll X = max(pref[s-1], pref[t-1] - u);
int ind = lower_bound(pref, pref + n + 1, X) - pref;
pii best = mb.query(1, 1, n+1, ind + 1, t);
//debug(i, X, ind, best.ff, best.ss);
ans[i] += (pref[t-1] - pref[best.ss-1]) * best.ff;
que[best.ss].push_back(query(-1, u, i));
}
}
const int mu = 100000005;
for (int i = n;i >= 1;i--) {
while (stk.size() && b[i] < b[stk.top()]) {
int cur = stk.top();
stk.pop();
ll pnt = pref[cur-1] - pref[i-1] + 1;
if (pnt < mu) {
tr.modify(tr.root, 0, mu, pnt, mu, -b[cur], -b[cur] * (1 - pnt));
ll len = pref[prv[cur]-1] - pref[i-1] + 1;
tr.modify(tr.root, 0, mu, len, mu, b[cur], b[cur] * (1 - len));
}
}
prv[i] = (stk.size() ? stk.top() : n+1);
stk.push(i);
tr.modify(tr.root, 0, mu, 0, mu, b[i], 0); //ok
ll len = pref[prv[i]-1] - pref[i-1] + 1;
tr.modify(tr.root, 0, mu, len, mu, -b[i], -b[i] * (1 - len)); //ok
for (auto q:que[i]) {
ans[q.id] += q.c * tr.query(tr.root, 0, mu, q.u);
}
/*
for (int j = 1;j <= 10;j++) {
cout << tr.query(tr.root, 0, mu, j) << " ";
}
cout << "\n";
*/
}
for (int i = 0;i < m;i++) cout << ans[i] << "\n";
}
/*
5 4
3 4 1 2 2
2 5 1 2 1
3 6 1
3 6 2
3 6 3
3 4
1 2 2
1 2 1
1 4 1
1 4 2
1 4 3
1 4 4
5 4
3 4 1 1 4
2 5 1 2 1
1 6 3
1 6 4
3 5 1
2 5 9
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
15 ms |
9428 KB |
Output is correct |
2 |
Correct |
13 ms |
9044 KB |
Output is correct |
3 |
Correct |
8 ms |
5916 KB |
Output is correct |
4 |
Correct |
16 ms |
9264 KB |
Output is correct |
5 |
Correct |
14 ms |
8896 KB |
Output is correct |
6 |
Correct |
9 ms |
7152 KB |
Output is correct |
7 |
Correct |
11 ms |
6812 KB |
Output is correct |
8 |
Correct |
13 ms |
8916 KB |
Output is correct |
9 |
Correct |
9 ms |
5996 KB |
Output is correct |
10 |
Correct |
14 ms |
9264 KB |
Output is correct |
11 |
Correct |
12 ms |
8660 KB |
Output is correct |
12 |
Correct |
10 ms |
7124 KB |
Output is correct |
13 |
Correct |
13 ms |
9220 KB |
Output is correct |
14 |
Correct |
18 ms |
8908 KB |
Output is correct |
15 |
Correct |
19 ms |
8880 KB |
Output is correct |
16 |
Correct |
15 ms |
8920 KB |
Output is correct |
17 |
Correct |
10 ms |
6064 KB |
Output is correct |
18 |
Correct |
12 ms |
6700 KB |
Output is correct |
19 |
Correct |
7 ms |
5588 KB |
Output is correct |
20 |
Correct |
11 ms |
8164 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
122 ms |
32956 KB |
Output is correct |
2 |
Correct |
168 ms |
42632 KB |
Output is correct |
3 |
Correct |
160 ms |
25868 KB |
Output is correct |
4 |
Correct |
126 ms |
24436 KB |
Output is correct |
5 |
Correct |
199 ms |
43624 KB |
Output is correct |
6 |
Correct |
540 ms |
62960 KB |
Output is correct |
7 |
Correct |
747 ms |
107328 KB |
Output is correct |
8 |
Correct |
678 ms |
63308 KB |
Output is correct |
9 |
Correct |
656 ms |
62776 KB |
Output is correct |
10 |
Correct |
701 ms |
86872 KB |
Output is correct |
11 |
Correct |
697 ms |
86496 KB |
Output is correct |
12 |
Correct |
601 ms |
46884 KB |
Output is correct |
13 |
Correct |
783 ms |
55316 KB |
Output is correct |
14 |
Correct |
743 ms |
54948 KB |
Output is correct |
15 |
Correct |
581 ms |
209144 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
759 ms |
76896 KB |
Output is correct |
2 |
Correct |
525 ms |
54932 KB |
Output is correct |
3 |
Correct |
434 ms |
60716 KB |
Output is correct |
4 |
Correct |
635 ms |
106720 KB |
Output is correct |
5 |
Correct |
416 ms |
75988 KB |
Output is correct |
6 |
Correct |
459 ms |
54196 KB |
Output is correct |
7 |
Correct |
464 ms |
48052 KB |
Output is correct |
8 |
Correct |
382 ms |
43932 KB |
Output is correct |
9 |
Correct |
357 ms |
43036 KB |
Output is correct |
10 |
Correct |
534 ms |
210360 KB |
Output is correct |
11 |
Correct |
433 ms |
60304 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
15 ms |
9428 KB |
Output is correct |
2 |
Correct |
13 ms |
9044 KB |
Output is correct |
3 |
Correct |
8 ms |
5916 KB |
Output is correct |
4 |
Correct |
16 ms |
9264 KB |
Output is correct |
5 |
Correct |
14 ms |
8896 KB |
Output is correct |
6 |
Correct |
9 ms |
7152 KB |
Output is correct |
7 |
Correct |
11 ms |
6812 KB |
Output is correct |
8 |
Correct |
13 ms |
8916 KB |
Output is correct |
9 |
Correct |
9 ms |
5996 KB |
Output is correct |
10 |
Correct |
14 ms |
9264 KB |
Output is correct |
11 |
Correct |
12 ms |
8660 KB |
Output is correct |
12 |
Correct |
10 ms |
7124 KB |
Output is correct |
13 |
Correct |
13 ms |
9220 KB |
Output is correct |
14 |
Correct |
18 ms |
8908 KB |
Output is correct |
15 |
Correct |
19 ms |
8880 KB |
Output is correct |
16 |
Correct |
15 ms |
8920 KB |
Output is correct |
17 |
Correct |
10 ms |
6064 KB |
Output is correct |
18 |
Correct |
12 ms |
6700 KB |
Output is correct |
19 |
Correct |
7 ms |
5588 KB |
Output is correct |
20 |
Correct |
11 ms |
8164 KB |
Output is correct |
21 |
Correct |
122 ms |
32956 KB |
Output is correct |
22 |
Correct |
168 ms |
42632 KB |
Output is correct |
23 |
Correct |
160 ms |
25868 KB |
Output is correct |
24 |
Correct |
126 ms |
24436 KB |
Output is correct |
25 |
Correct |
199 ms |
43624 KB |
Output is correct |
26 |
Correct |
540 ms |
62960 KB |
Output is correct |
27 |
Correct |
747 ms |
107328 KB |
Output is correct |
28 |
Correct |
678 ms |
63308 KB |
Output is correct |
29 |
Correct |
656 ms |
62776 KB |
Output is correct |
30 |
Correct |
701 ms |
86872 KB |
Output is correct |
31 |
Correct |
697 ms |
86496 KB |
Output is correct |
32 |
Correct |
601 ms |
46884 KB |
Output is correct |
33 |
Correct |
783 ms |
55316 KB |
Output is correct |
34 |
Correct |
743 ms |
54948 KB |
Output is correct |
35 |
Correct |
581 ms |
209144 KB |
Output is correct |
36 |
Correct |
759 ms |
76896 KB |
Output is correct |
37 |
Correct |
525 ms |
54932 KB |
Output is correct |
38 |
Correct |
434 ms |
60716 KB |
Output is correct |
39 |
Correct |
635 ms |
106720 KB |
Output is correct |
40 |
Correct |
416 ms |
75988 KB |
Output is correct |
41 |
Correct |
459 ms |
54196 KB |
Output is correct |
42 |
Correct |
464 ms |
48052 KB |
Output is correct |
43 |
Correct |
382 ms |
43932 KB |
Output is correct |
44 |
Correct |
357 ms |
43036 KB |
Output is correct |
45 |
Correct |
534 ms |
210360 KB |
Output is correct |
46 |
Correct |
433 ms |
60304 KB |
Output is correct |
47 |
Correct |
829 ms |
55248 KB |
Output is correct |
48 |
Correct |
718 ms |
62292 KB |
Output is correct |
49 |
Correct |
606 ms |
45928 KB |
Output is correct |
50 |
Correct |
930 ms |
108096 KB |
Output is correct |
51 |
Correct |
609 ms |
70172 KB |
Output is correct |
52 |
Correct |
818 ms |
125640 KB |
Output is correct |
53 |
Correct |
678 ms |
48792 KB |
Output is correct |
54 |
Correct |
543 ms |
44124 KB |
Output is correct |
55 |
Correct |
534 ms |
44044 KB |
Output is correct |
56 |
Correct |
618 ms |
210140 KB |
Output is correct |
57 |
Correct |
626 ms |
61136 KB |
Output is correct |