#include <bits/stdc++.h>
using namespace std;
#ifdef ngu
#include "debug.h"
#else
#define debug(...) 42
#endif
#define int long long
const int N = (int) 2e5 + 5;
int n, m;
int a[N], b[N], x[N], r[N], s[N], t[N], u[N], res[N];
vector<int> g[N], Q[N];
namespace st {
int tree[4 * N];
int idx[4 * N];
int cmp(int i, int j) {
return b[i] < b[j] ? i : j;
}
void bld(int id = 1, int l = 1, int r = n) {
if (l == r) {
tree[id] = a[l];
idx[id] = l;
} else {
int mid = l + r >> 1;
bld(id << 1, l, mid);
bld(id << 1 | 1, mid + 1, r);
idx[id] = cmp(idx[id << 1], idx[id << 1 | 1]);
tree[id] = max(tree[id << 1], tree[id << 1 | 1]);
}
}
int get(int u, int v, int id = 1, int l = 1, int r = n) {
if (u <= x[l] && x[r] <= v) {
return idx[id];
}
int mid = l + r >> 1;
if (u <= x[mid] && x[mid] < v) {
return cmp(get(u, v, id << 1, l, mid), get(u, v, id << 1 | 1, mid + 1, r));
}
if (x[mid] < u) {
return get(u, v, id << 1 | 1, mid + 1, r);
}
return get(u, v, id << 1, l, mid);
}
int qry(int u, int v, int id = 1, int l = 1, int r = n) {
if (u <= l && r <= v) {
return tree[id];
}
int mid = l + r >> 1;
if (u <= mid && mid < v) {
return max(qry(u, v, id << 1, l, mid), qry(u, v, id << 1 | 1, mid + 1, r));
}
if (mid < u) {
return qry(u, v, id << 1 | 1, mid + 1, r);
}
return qry(u, v, id << 1, l, mid);
}
}
struct fenwick {
int n;
vector<int> s;
fenwick() {};
fenwick(int n): n(n) {
s.resize(n);
}
void upd(int i, int x) {
for (; i <= n; i += i & -i) {
s[i - 1] += x;
}
}
int get(int i) {
int res = 0;
for (; i; i -= i & -i) {
res += s[i - 1];
}
return res;
}
void upd(int l, int r, int x) {
upd(l, x);
upd(r + 1, -x);
}
};
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
#ifdef ngu
freopen("test.inp", "r", stdin);
freopen("test.out", "w", stdout);
#endif
cin >> n >> m;
for (int i = 1; i <= n; ++i) {
cin >> a[i];
x[i + 1] = x[i] + a[i];
}
for (int i = 1; i <= n; ++i) {
cin >> b[i];
}
st::bld();
vector<int> values;
for (int i = 1; i <= m; ++i) {
cin >> s[i] >> t[i] >> u[i];
if (st::qry(s[i], t[i] - 1) > u[i]) {
res[i] = -1;
} else {
values.emplace_back(u[i]);
int r = st::get(max(x[s[i]], x[t[i]] - u[i]), min(x[n], x[t[i]]));
res[i] = b[r] * (x[t[i]] - x[r]);
Q[s[i]].emplace_back(i);
Q[r].emplace_back(-i);
}
}
sort(values.begin(), values.end());
values.erase(unique(values.begin(), values.end()), values.end());
auto idx = [&](int x) {
return lower_bound(values.begin(), values.end(), x) - values.begin() + 1;
};
int k = (int) values.size();
fenwick ft1(k), ft2(k);
auto get = [&](int U) {
int i = idx(U);
return ft1.get(i) * U + ft2.get(i);
};
vector<int> st;
for (int i = n; i >= 1; --i) {
while (st.size() && b[st.back()] >= b[i]) {
st.pop_back();
}
r[i] = st.size() ? st.back() : n + 1;
st.emplace_back(i);
}
while (st.size()) {
st.pop_back();
}
for (int i = 1; i <= n; ++i) {
while (st.size() && b[st.back()] > b[i]) {
st.pop_back();
}
if (st.size()) {
g[st.back()].emplace_back(i);
}
st.emplace_back(i);
}
for (int i = n; i >= 1; --i) {
int delta = x[r[i]] - x[i];
int pos = idx(delta);
if (pos > 1) {
ft1.upd(1, pos - 1, b[i]);
}
if (pos <= k) {
ft2.upd(pos, k, delta * b[i]);
}
for (int j : g[i]) {
int delta = x[j] - x[i];
int pos = idx(delta);
if (pos <= k) {
ft1.upd(pos, k, -b[j]);
ft2.upd(pos, k, delta * b[j]);
}
delta = x[r[j]] - x[i];
pos = idx(delta);
if (pos <= k) {
ft1.upd(pos, k, b[j]);
ft2.upd(pos, k, -delta * b[j]);
}
}
for (int id : Q[i]) {
int sign = id < 0 ? -1 : 1;
res[sign * id] += sign * get(u[sign * id]);
}
}
for (int i = 1; i <= m; ++i) {
cout << res[i] << "\n";
}
}
Compilation message
Main.cpp: In function 'void st::bld(long long int, long long int, long long int)':
Main.cpp:32:25: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
32 | int mid = l + r >> 1;
| ~~^~~
Main.cpp: In function 'long long int st::get(long long int, long long int, long long int, long long int, long long int)':
Main.cpp:44:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
44 | int mid = l + r >> 1;
| ~~^~~
Main.cpp: In function 'long long int st::qry(long long int, long long int, long long int, long long int, long long int)':
Main.cpp:58:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
58 | int mid = l + r >> 1;
| ~~^~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
21228 KB |
Output is correct |
2 |
Correct |
8 ms |
21336 KB |
Output is correct |
3 |
Correct |
7 ms |
21340 KB |
Output is correct |
4 |
Correct |
8 ms |
21340 KB |
Output is correct |
5 |
Correct |
8 ms |
21340 KB |
Output is correct |
6 |
Correct |
7 ms |
21340 KB |
Output is correct |
7 |
Correct |
8 ms |
21340 KB |
Output is correct |
8 |
Correct |
8 ms |
21340 KB |
Output is correct |
9 |
Correct |
8 ms |
21232 KB |
Output is correct |
10 |
Correct |
7 ms |
21340 KB |
Output is correct |
11 |
Correct |
8 ms |
21340 KB |
Output is correct |
12 |
Correct |
8 ms |
21180 KB |
Output is correct |
13 |
Correct |
8 ms |
21380 KB |
Output is correct |
14 |
Correct |
8 ms |
21340 KB |
Output is correct |
15 |
Correct |
7 ms |
21340 KB |
Output is correct |
16 |
Correct |
7 ms |
21500 KB |
Output is correct |
17 |
Correct |
7 ms |
21184 KB |
Output is correct |
18 |
Correct |
7 ms |
21340 KB |
Output is correct |
19 |
Correct |
7 ms |
21236 KB |
Output is correct |
20 |
Correct |
6 ms |
21340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
54 ms |
31188 KB |
Output is correct |
2 |
Correct |
57 ms |
30924 KB |
Output is correct |
3 |
Correct |
56 ms |
32196 KB |
Output is correct |
4 |
Correct |
70 ms |
30904 KB |
Output is correct |
5 |
Correct |
55 ms |
31020 KB |
Output is correct |
6 |
Correct |
286 ms |
53644 KB |
Output is correct |
7 |
Correct |
288 ms |
53768 KB |
Output is correct |
8 |
Correct |
300 ms |
58364 KB |
Output is correct |
9 |
Correct |
326 ms |
52832 KB |
Output is correct |
10 |
Correct |
357 ms |
57372 KB |
Output is correct |
11 |
Correct |
346 ms |
57156 KB |
Output is correct |
12 |
Correct |
344 ms |
52292 KB |
Output is correct |
13 |
Correct |
322 ms |
52396 KB |
Output is correct |
14 |
Correct |
336 ms |
52364 KB |
Output is correct |
15 |
Correct |
170 ms |
53488 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
363 ms |
55464 KB |
Output is correct |
2 |
Correct |
321 ms |
59984 KB |
Output is correct |
3 |
Correct |
288 ms |
53552 KB |
Output is correct |
4 |
Correct |
340 ms |
55888 KB |
Output is correct |
5 |
Correct |
266 ms |
54736 KB |
Output is correct |
6 |
Correct |
291 ms |
59184 KB |
Output is correct |
7 |
Correct |
303 ms |
52904 KB |
Output is correct |
8 |
Correct |
278 ms |
57140 KB |
Output is correct |
9 |
Correct |
254 ms |
50992 KB |
Output is correct |
10 |
Correct |
159 ms |
54084 KB |
Output is correct |
11 |
Correct |
239 ms |
52228 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
21228 KB |
Output is correct |
2 |
Correct |
8 ms |
21336 KB |
Output is correct |
3 |
Correct |
7 ms |
21340 KB |
Output is correct |
4 |
Correct |
8 ms |
21340 KB |
Output is correct |
5 |
Correct |
8 ms |
21340 KB |
Output is correct |
6 |
Correct |
7 ms |
21340 KB |
Output is correct |
7 |
Correct |
8 ms |
21340 KB |
Output is correct |
8 |
Correct |
8 ms |
21340 KB |
Output is correct |
9 |
Correct |
8 ms |
21232 KB |
Output is correct |
10 |
Correct |
7 ms |
21340 KB |
Output is correct |
11 |
Correct |
8 ms |
21340 KB |
Output is correct |
12 |
Correct |
8 ms |
21180 KB |
Output is correct |
13 |
Correct |
8 ms |
21380 KB |
Output is correct |
14 |
Correct |
8 ms |
21340 KB |
Output is correct |
15 |
Correct |
7 ms |
21340 KB |
Output is correct |
16 |
Correct |
7 ms |
21500 KB |
Output is correct |
17 |
Correct |
7 ms |
21184 KB |
Output is correct |
18 |
Correct |
7 ms |
21340 KB |
Output is correct |
19 |
Correct |
7 ms |
21236 KB |
Output is correct |
20 |
Correct |
6 ms |
21340 KB |
Output is correct |
21 |
Correct |
54 ms |
31188 KB |
Output is correct |
22 |
Correct |
57 ms |
30924 KB |
Output is correct |
23 |
Correct |
56 ms |
32196 KB |
Output is correct |
24 |
Correct |
70 ms |
30904 KB |
Output is correct |
25 |
Correct |
55 ms |
31020 KB |
Output is correct |
26 |
Correct |
286 ms |
53644 KB |
Output is correct |
27 |
Correct |
288 ms |
53768 KB |
Output is correct |
28 |
Correct |
300 ms |
58364 KB |
Output is correct |
29 |
Correct |
326 ms |
52832 KB |
Output is correct |
30 |
Correct |
357 ms |
57372 KB |
Output is correct |
31 |
Correct |
346 ms |
57156 KB |
Output is correct |
32 |
Correct |
344 ms |
52292 KB |
Output is correct |
33 |
Correct |
322 ms |
52396 KB |
Output is correct |
34 |
Correct |
336 ms |
52364 KB |
Output is correct |
35 |
Correct |
170 ms |
53488 KB |
Output is correct |
36 |
Correct |
363 ms |
55464 KB |
Output is correct |
37 |
Correct |
321 ms |
59984 KB |
Output is correct |
38 |
Correct |
288 ms |
53552 KB |
Output is correct |
39 |
Correct |
340 ms |
55888 KB |
Output is correct |
40 |
Correct |
266 ms |
54736 KB |
Output is correct |
41 |
Correct |
291 ms |
59184 KB |
Output is correct |
42 |
Correct |
303 ms |
52904 KB |
Output is correct |
43 |
Correct |
278 ms |
57140 KB |
Output is correct |
44 |
Correct |
254 ms |
50992 KB |
Output is correct |
45 |
Correct |
159 ms |
54084 KB |
Output is correct |
46 |
Correct |
239 ms |
52228 KB |
Output is correct |
47 |
Correct |
463 ms |
54676 KB |
Output is correct |
48 |
Correct |
435 ms |
60372 KB |
Output is correct |
49 |
Correct |
366 ms |
53308 KB |
Output is correct |
50 |
Correct |
418 ms |
56304 KB |
Output is correct |
51 |
Correct |
445 ms |
55124 KB |
Output is correct |
52 |
Correct |
412 ms |
59516 KB |
Output is correct |
53 |
Correct |
422 ms |
53352 KB |
Output is correct |
54 |
Correct |
379 ms |
57584 KB |
Output is correct |
55 |
Correct |
344 ms |
52032 KB |
Output is correct |
56 |
Correct |
204 ms |
54036 KB |
Output is correct |
57 |
Correct |
358 ms |
53172 KB |
Output is correct |