// In The Name Of God
//#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#include <iostream>
#include <iomanip>
#include <fstream>
#include <vector>
#include <set>
#include <map>
#include <cstring>
#include <string>
#include <bitset>
#include <cmath>
#include <cassert>
#include <ctime>
#include <algorithm>
#include <sstream>
#include <list>
#include <queue>
#include <deque>
#include <stack>
#include <cstdlib>
#include <cstdio>
#include <iterator>
#include <functional>
#include <unordered_set>
#include <unordered_map>
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
#define f first
#define s second
#define pb push_back
#define mp make_pair
#define sagyndym_seni ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
const ll N = 5e5+5, p1 = 911382323, p2 = 972663749, INF = 1e18;
inline int read(){
char c = getchar();
bool minus = 0;
while (c < '0' || '9' < c){
if(c == '-'){ minus = 1;}
c = getchar();
if(c == '-'){ minus = 1;}
}
int res = 0;
while ('0' <= c && c <= '9') {
res = (res << 3) + (res << 1) + c - '0';
c = getchar();
}
if(minus){ res *= -1;}
return res;
}
ll a[N], p[N];
int n;
pair<ll, ll> dp[N];
// {num of blocks, sum in last block}
struct node{
ll block, own_sum, pref_sum, y;
pair<ll, ll> maxVal;
node *left, *right;
node(ll bl, ll own, ll pref){
left = nullptr; right = nullptr;
block = bl; own_sum = own; pref_sum = pref;
maxVal = {bl, pref};
y = (rand() << 16) | rand();
}
};
node *root = nullptr;
inline pair<ll, ll> get_maxVal(node *v){
return !v ? mp(-INF, -INF) : v->maxVal;
}
inline void update(node *v){
if(!v){ return;}
v->maxVal = max(mp(v->block, v->pref_sum), max(get_maxVal(v->left), get_maxVal(v->right)));
}
node *merge(node *t1, node *t2){
if(!t1){ return t2;}
if(!t2){ return t1;}
if(t1->y < t2->y){
t2->left = merge(t1, t2->left);
update(t2); return t2;
}else{
t1->right = merge(t1->right, t2);
update(t1); return t1;
}
}
//[0...k]-[k + 1...n]
pair<node*, node*> split(node *v, ll k){
if(!v){ return {v, v};}
ll cur_node = v->pref_sum + v->own_sum;
if(k < cur_node){
pair<node*, node*> temp = split(v->left, k);
v->left = temp.s; update(v);
return {temp.f, v};
}else{
pair<node*, node*> temp = split(v->right, k);
v->right = temp.f; update(v);
return {v, temp.s};
}
}
pair<ll, ll> max_val(ll key){
pair<node*, node*> temp = split(root, key);
pair<ll, ll> ans = get_maxVal(temp.f);
root = merge(temp.f, temp.s);
return ans;
}
void insert(ll bl, ll own, ll pref){
pair<node*, node*> temp = split(root, pref + own);
root = merge(temp.f, merge(new node(bl, own, pref), temp.s));
}
int main(){
n = read();
for(int i = 1; i <= n; i++){
a[i] = read();
p[i] = a[i] + p[i - 1];
}
insert(0, 0, 0);
for(int r = 1; r <= n; r++){
pair<ll, ll> temp = max_val(p[r]);
insert(temp.f + 1, p[r] - temp.s, p[r]);
}
cout<<get_maxVal(root).f;
return 0;
}
/* TIMUS: 292220YC*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
4 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
4 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
4 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
4 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
4 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
4 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
5 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
512 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
5 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
5 ms |
384 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
5 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
5 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
4 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
4 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
4 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
5 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
512 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
5 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
5 ms |
384 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
5 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
5 ms |
384 KB |
Output is correct |
31 |
Correct |
6 ms |
640 KB |
Output is correct |
32 |
Correct |
6 ms |
640 KB |
Output is correct |
33 |
Correct |
7 ms |
640 KB |
Output is correct |
34 |
Correct |
6 ms |
640 KB |
Output is correct |
35 |
Correct |
6 ms |
640 KB |
Output is correct |
36 |
Correct |
7 ms |
640 KB |
Output is correct |
37 |
Correct |
6 ms |
512 KB |
Output is correct |
38 |
Correct |
6 ms |
512 KB |
Output is correct |
39 |
Correct |
6 ms |
640 KB |
Output is correct |
40 |
Correct |
7 ms |
640 KB |
Output is correct |
41 |
Correct |
5 ms |
640 KB |
Output is correct |
42 |
Correct |
5 ms |
640 KB |
Output is correct |
43 |
Correct |
6 ms |
640 KB |
Output is correct |
44 |
Correct |
6 ms |
640 KB |
Output is correct |
45 |
Correct |
6 ms |
640 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
4 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
4 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
4 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
5 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
512 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
5 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
5 ms |
384 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
5 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
5 ms |
384 KB |
Output is correct |
31 |
Correct |
6 ms |
640 KB |
Output is correct |
32 |
Correct |
6 ms |
640 KB |
Output is correct |
33 |
Correct |
7 ms |
640 KB |
Output is correct |
34 |
Correct |
6 ms |
640 KB |
Output is correct |
35 |
Correct |
6 ms |
640 KB |
Output is correct |
36 |
Correct |
7 ms |
640 KB |
Output is correct |
37 |
Correct |
6 ms |
512 KB |
Output is correct |
38 |
Correct |
6 ms |
512 KB |
Output is correct |
39 |
Correct |
6 ms |
640 KB |
Output is correct |
40 |
Correct |
7 ms |
640 KB |
Output is correct |
41 |
Correct |
5 ms |
640 KB |
Output is correct |
42 |
Correct |
5 ms |
640 KB |
Output is correct |
43 |
Correct |
6 ms |
640 KB |
Output is correct |
44 |
Correct |
6 ms |
640 KB |
Output is correct |
45 |
Correct |
6 ms |
640 KB |
Output is correct |
46 |
Correct |
55 ms |
9752 KB |
Output is correct |
47 |
Correct |
82 ms |
10232 KB |
Output is correct |
48 |
Correct |
78 ms |
10616 KB |
Output is correct |
49 |
Correct |
67 ms |
10616 KB |
Output is correct |
50 |
Correct |
50 ms |
10744 KB |
Output is correct |
51 |
Correct |
83 ms |
10744 KB |
Output is correct |
52 |
Correct |
45 ms |
5500 KB |
Output is correct |
53 |
Correct |
27 ms |
3456 KB |
Output is correct |
54 |
Correct |
73 ms |
9976 KB |
Output is correct |
55 |
Correct |
83 ms |
10720 KB |
Output is correct |
56 |
Correct |
43 ms |
10232 KB |
Output is correct |
57 |
Correct |
57 ms |
10104 KB |
Output is correct |
58 |
Correct |
56 ms |
10104 KB |
Output is correct |
59 |
Correct |
47 ms |
10240 KB |
Output is correct |
60 |
Correct |
67 ms |
10232 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
4 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
4 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
4 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
5 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
512 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
5 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
5 ms |
384 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
5 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
5 ms |
384 KB |
Output is correct |
31 |
Correct |
6 ms |
640 KB |
Output is correct |
32 |
Correct |
6 ms |
640 KB |
Output is correct |
33 |
Correct |
7 ms |
640 KB |
Output is correct |
34 |
Correct |
6 ms |
640 KB |
Output is correct |
35 |
Correct |
6 ms |
640 KB |
Output is correct |
36 |
Correct |
7 ms |
640 KB |
Output is correct |
37 |
Correct |
6 ms |
512 KB |
Output is correct |
38 |
Correct |
6 ms |
512 KB |
Output is correct |
39 |
Correct |
6 ms |
640 KB |
Output is correct |
40 |
Correct |
7 ms |
640 KB |
Output is correct |
41 |
Correct |
5 ms |
640 KB |
Output is correct |
42 |
Correct |
5 ms |
640 KB |
Output is correct |
43 |
Correct |
6 ms |
640 KB |
Output is correct |
44 |
Correct |
6 ms |
640 KB |
Output is correct |
45 |
Correct |
6 ms |
640 KB |
Output is correct |
46 |
Correct |
55 ms |
9752 KB |
Output is correct |
47 |
Correct |
82 ms |
10232 KB |
Output is correct |
48 |
Correct |
78 ms |
10616 KB |
Output is correct |
49 |
Correct |
67 ms |
10616 KB |
Output is correct |
50 |
Correct |
50 ms |
10744 KB |
Output is correct |
51 |
Correct |
83 ms |
10744 KB |
Output is correct |
52 |
Correct |
45 ms |
5500 KB |
Output is correct |
53 |
Correct |
27 ms |
3456 KB |
Output is correct |
54 |
Correct |
73 ms |
9976 KB |
Output is correct |
55 |
Correct |
83 ms |
10720 KB |
Output is correct |
56 |
Correct |
43 ms |
10232 KB |
Output is correct |
57 |
Correct |
57 ms |
10104 KB |
Output is correct |
58 |
Correct |
56 ms |
10104 KB |
Output is correct |
59 |
Correct |
47 ms |
10240 KB |
Output is correct |
60 |
Correct |
67 ms |
10232 KB |
Output is correct |
61 |
Correct |
300 ms |
49272 KB |
Output is correct |
62 |
Correct |
337 ms |
49360 KB |
Output is correct |
63 |
Correct |
483 ms |
49656 KB |
Output is correct |
64 |
Correct |
411 ms |
51832 KB |
Output is correct |
65 |
Correct |
274 ms |
52216 KB |
Output is correct |
66 |
Correct |
431 ms |
52216 KB |
Output is correct |
67 |
Correct |
357 ms |
41848 KB |
Output is correct |
68 |
Correct |
175 ms |
21112 KB |
Output is correct |
69 |
Correct |
444 ms |
48376 KB |
Output is correct |
70 |
Correct |
453 ms |
52344 KB |
Output is correct |
71 |
Correct |
245 ms |
49272 KB |
Output is correct |
72 |
Correct |
271 ms |
49660 KB |
Output is correct |
73 |
Correct |
284 ms |
50296 KB |
Output is correct |
74 |
Correct |
254 ms |
50536 KB |
Output is correct |
75 |
Correct |
302 ms |
50552 KB |
Output is correct |