#include <bits/stdc++.h>
#define ll long long
#define pii pair<int,int>
#define pll pair<ll,ll>
#define rep(i,m,n) for(int i=(m); i<=(n); i++)
#define reb(i,m,n) for(int i=(m); i>=(n); i--)
#define iter(id, v) for(auto id : v)
#define fs first
#define se second
#define MP make_pair
#define pb push_back
#define bit(msk, i) ((msk >> i) & 1)
#define SZ(v) (ll)v.size()
#define ALL(v) v.begin(),v.end()
using namespace std;
mt19937_64 rd(chrono :: steady_clock :: now ().time_since_epoch().count());
ll Rand (ll l, ll r) { return uniform_int_distribution<ll> (l, r) (rd); }
const int N = 5e5 + 2;
const int Mod = 1e9 + 7;
const ll INF = 1e16;
const ll BASE = 137;
const int szBL = 350;
int n, Q;
int a[N];
pii qr[N];
int prv[N];
struct Segment_Tree {
int m;
ll Val[N << 2], st[N << 2], lz[N << 2];
void init (int n) {
m = n;
rep (i, 1, n << 2) lz[i] = -INF;
}
void build (int id, int l, int r) {
if (l == r) {
st[id] = a[l];
return;
}
int mid = l + r >> 1;
down(id);
build (id << 1, l, mid);
build (id << 1 | 1, mid + 1, r);
st[id] = max(st[id << 1], st[id << 1 | 1]);
}
void down (int id) {
if (lz[id] != -1) {
rep (i, id << 1, id << 1 | 1) {
lz[i] = max(lz[id], lz[i]);
Val[i] = max(Val[i], lz[i] + st[i]);
}
lz[id] = -INF;
}
}
void update (int id, int l, int r, int u, int v, ll val) {
if (l > v || r < u) return;
if (l >= u && r <= v) {
lz[id] = max(lz[id], val);
Val[id] = max(Val[id], st[id] + lz[id]);
return;
}
int mid = l + r >> 1;
down(id);
update (id << 1, l, mid, u, v, val);
update (id << 1 | 1, mid + 1, r, u, v, val);
Val[id] = max(Val[id << 1], Val[id << 1 | 1]);
}
ll get (int id, int l, int r, int u, int v) {
if (l > v || r < u) return -INF;
if (l >= u && r <= v) return Val[id];
int mid = l + r >> 1;
down(id);
return max(get (id << 1, l, mid, u, v),
get (id << 1 | 1, mid + 1, r, u, v));
}
void update (int u, int v, ll val) {
update (1, 1, m, u, v, val);
}
ll get (int u, int v) {
return get (1, 1, m, u, v);
}
}ST;
namespace sub3 {
void solution() {
ST.init(n);
ST.build(1, 1, n);
stack<pii> st;
vector<pii> candi;
rep (i, 1, n) {
while (!st.empty() && st.top().fs < a[i]) st.pop();
if (!st.empty()) {
prv[i] = st.top().se;
}
st.push({a[i], i});
int u = i - 1;
while (u != 0 && a[u] < a[i]) {
candi.pb(MP(u, i));
u = prv[u];
}
if (u != 0) candi.pb(MP(u, i));
}
iter (&id, candi)
ST.update (2 * id.se - id.fs, n, a[id.se] + a[id.fs]);
cout << ST.Val[1] <<"\n";
}
}
namespace sub2 {
const int N2 = 5e3 + 7;
ll dp[N2][N2];
int mx[N2][N2];
void solution() {
memset (dp, -0x3f, sizeof dp);
memset (mx, -0x3f, sizeof mx);
rep (i, 1, n) {
rep (j, i, n) {
mx[i][j] = max(mx[i][j - 1], a[j]);
}
}
reb (i, n, 1) {
rep (j, i + 1, n) {
dp[i][j] = max({dp[i + 1][j], dp[i][j - 1]});
int mid = j + i >> 1;
dp[i][j] = max(dp[i][j], 1LL*a[i] + a[j] + mx[i + 1][mid]);
}
}
rep (i, 1, Q) {
cout << dp[qr[i].fs][qr[i].se] <<"\n";
}
}
}
namespace sub4 {
vector<int> candi[N];
vector<pii> queries[N];
ll Ans[N];
void solution () {
ST.init(n);
ST.build(1, 1, n);
stack<pii> st;
rep (i, 1, n) {
while (!st.empty() && st.top().fs < a[i]) st.pop();
if (!st.empty()) {
prv[i] = st.top().se;
}
st.push({a[i], i});
int u = i - 1;
while (u != 0 && a[u] < a[i]) {
candi[u].pb(i);
u = prv[u];
}
if (u != 0) candi[u].pb(i);
}
rep (i, 1, Q) queries[qr[i].fs].pb(MP(qr[i].se, i));
reb (i, n, 1) {
iter (&id, candi[i]) ST.update (2 * id - i, n, a[i] + a[id]);
iter (&id, queries[i]) Ans[id.se] = ST.get(i, id.fs);
}
rep (i, 1, Q) cout << Ans[i] <<"\n";
}
}
void solution () {
cin >> n;
rep (i, 1, n) cin >> a[i];
cin >> Q;
rep (i, 1, Q) {
cin >> qr[i].fs >> qr[i].se;
}
if (Q == 1 && qr[1].fs == 1 && qr[1].se == n) sub3 :: solution();
else if (n <= 5000) sub2 :: solution();
else
sub4 :: solution ();
}
#define file(name) freopen(name".inp","r",stdin); \
freopen(name".out","w",stdout);
int main () {
// file("c");
ios_base :: sync_with_stdio(false); cin.tie(0); cout.tie(0);
int num_Test = 1;
// cin >> num_Test;
while (num_Test--)
solution();
}
Compilation message
jumps.cpp: In member function 'void Segment_Tree::build(int, int, int)':
jumps.cpp:46:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
46 | int mid = l + r >> 1;
| ~~^~~
jumps.cpp: In member function 'void Segment_Tree::update(int, int, int, int, int, long long int)':
jumps.cpp:70:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
70 | int mid = l + r >> 1;
| ~~^~~
jumps.cpp: In member function 'long long int Segment_Tree::get(int, int, int, int, int)':
jumps.cpp:80:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
80 | int mid = l + r >> 1;
| ~~^~~
jumps.cpp: In function 'void sub2::solution()':
jumps.cpp:135:29: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
135 | int mid = j + i >> 1;
| ~~^~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
23900 KB |
Output is correct |
2 |
Correct |
131 ms |
318144 KB |
Output is correct |
3 |
Correct |
131 ms |
318288 KB |
Output is correct |
4 |
Correct |
131 ms |
318140 KB |
Output is correct |
5 |
Correct |
142 ms |
318108 KB |
Output is correct |
6 |
Correct |
131 ms |
318228 KB |
Output is correct |
7 |
Correct |
139 ms |
318304 KB |
Output is correct |
8 |
Correct |
130 ms |
318292 KB |
Output is correct |
9 |
Correct |
140 ms |
318288 KB |
Output is correct |
10 |
Correct |
158 ms |
318288 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
23900 KB |
Output is correct |
2 |
Correct |
131 ms |
318144 KB |
Output is correct |
3 |
Correct |
131 ms |
318288 KB |
Output is correct |
4 |
Correct |
131 ms |
318140 KB |
Output is correct |
5 |
Correct |
142 ms |
318108 KB |
Output is correct |
6 |
Correct |
131 ms |
318228 KB |
Output is correct |
7 |
Correct |
139 ms |
318304 KB |
Output is correct |
8 |
Correct |
130 ms |
318292 KB |
Output is correct |
9 |
Correct |
140 ms |
318288 KB |
Output is correct |
10 |
Correct |
158 ms |
318288 KB |
Output is correct |
11 |
Correct |
299 ms |
331784 KB |
Output is correct |
12 |
Correct |
303 ms |
331860 KB |
Output is correct |
13 |
Correct |
303 ms |
331868 KB |
Output is correct |
14 |
Correct |
305 ms |
331848 KB |
Output is correct |
15 |
Correct |
314 ms |
331916 KB |
Output is correct |
16 |
Correct |
302 ms |
331092 KB |
Output is correct |
17 |
Correct |
317 ms |
331160 KB |
Output is correct |
18 |
Correct |
339 ms |
331092 KB |
Output is correct |
19 |
Correct |
318 ms |
331640 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
108 ms |
45728 KB |
Output is correct |
2 |
Correct |
76 ms |
43468 KB |
Output is correct |
3 |
Correct |
79 ms |
44828 KB |
Output is correct |
4 |
Correct |
111 ms |
45712 KB |
Output is correct |
5 |
Correct |
109 ms |
45588 KB |
Output is correct |
6 |
Correct |
104 ms |
45096 KB |
Output is correct |
7 |
Correct |
113 ms |
44744 KB |
Output is correct |
8 |
Correct |
105 ms |
45012 KB |
Output is correct |
9 |
Correct |
128 ms |
45324 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
23900 KB |
Output is correct |
2 |
Correct |
131 ms |
318144 KB |
Output is correct |
3 |
Correct |
131 ms |
318288 KB |
Output is correct |
4 |
Correct |
131 ms |
318140 KB |
Output is correct |
5 |
Correct |
142 ms |
318108 KB |
Output is correct |
6 |
Correct |
131 ms |
318228 KB |
Output is correct |
7 |
Correct |
139 ms |
318304 KB |
Output is correct |
8 |
Correct |
130 ms |
318292 KB |
Output is correct |
9 |
Correct |
140 ms |
318288 KB |
Output is correct |
10 |
Correct |
158 ms |
318288 KB |
Output is correct |
11 |
Correct |
299 ms |
331784 KB |
Output is correct |
12 |
Correct |
303 ms |
331860 KB |
Output is correct |
13 |
Correct |
303 ms |
331868 KB |
Output is correct |
14 |
Correct |
305 ms |
331848 KB |
Output is correct |
15 |
Correct |
314 ms |
331916 KB |
Output is correct |
16 |
Correct |
302 ms |
331092 KB |
Output is correct |
17 |
Correct |
317 ms |
331160 KB |
Output is correct |
18 |
Correct |
339 ms |
331092 KB |
Output is correct |
19 |
Correct |
318 ms |
331640 KB |
Output is correct |
20 |
Correct |
108 ms |
45728 KB |
Output is correct |
21 |
Correct |
76 ms |
43468 KB |
Output is correct |
22 |
Correct |
79 ms |
44828 KB |
Output is correct |
23 |
Correct |
111 ms |
45712 KB |
Output is correct |
24 |
Correct |
109 ms |
45588 KB |
Output is correct |
25 |
Correct |
104 ms |
45096 KB |
Output is correct |
26 |
Correct |
113 ms |
44744 KB |
Output is correct |
27 |
Correct |
105 ms |
45012 KB |
Output is correct |
28 |
Correct |
128 ms |
45324 KB |
Output is correct |
29 |
Correct |
710 ms |
109708 KB |
Output is correct |
30 |
Correct |
594 ms |
108936 KB |
Output is correct |
31 |
Correct |
622 ms |
113308 KB |
Output is correct |
32 |
Correct |
709 ms |
109720 KB |
Output is correct |
33 |
Correct |
742 ms |
109736 KB |
Output is correct |
34 |
Correct |
736 ms |
107656 KB |
Output is correct |
35 |
Correct |
782 ms |
107084 KB |
Output is correct |
36 |
Correct |
699 ms |
107088 KB |
Output is correct |
37 |
Correct |
706 ms |
108528 KB |
Output is correct |
38 |
Correct |
558 ms |
115360 KB |
Output is correct |
39 |
Correct |
549 ms |
115488 KB |
Output is correct |
40 |
Correct |
538 ms |
112140 KB |
Output is correct |
41 |
Correct |
510 ms |
111536 KB |
Output is correct |
42 |
Correct |
530 ms |
111500 KB |
Output is correct |
43 |
Correct |
618 ms |
113264 KB |
Output is correct |
44 |
Correct |
573 ms |
114792 KB |
Output is correct |
45 |
Correct |
565 ms |
115024 KB |
Output is correct |
46 |
Correct |
570 ms |
111724 KB |
Output is correct |
47 |
Correct |
537 ms |
111188 KB |
Output is correct |
48 |
Correct |
541 ms |
111188 KB |
Output is correct |
49 |
Correct |
545 ms |
113488 KB |
Output is correct |
50 |
Correct |
612 ms |
113292 KB |
Output is correct |
51 |
Correct |
614 ms |
112980 KB |
Output is correct |
52 |
Correct |
610 ms |
110464 KB |
Output is correct |
53 |
Correct |
607 ms |
110160 KB |
Output is correct |
54 |
Correct |
589 ms |
110204 KB |
Output is correct |
55 |
Correct |
604 ms |
111880 KB |
Output is correct |