#include <bits/stdc++.h>
#define F first
#define S second
using namespace std;
const int N = 5e5 + 5;
const long long M = (long long)1e15;
int n,a[N];
long long pref[N];
pair<long long,long long> dp[N];
/*
int slow(){
for(int i = 1; i <= n; i++) pref[i] = pref[i - 1] + a[i];
dp[1] = {1,a[1]};
for(int i = 2; i <= n; i++){
dp[i] = {dp[i - 1].F,dp[i - 1].S + a[i]};
for(int j = i - 1; j >= 1; j--){
if(pref[i] - pref[j] >= dp[j].S && dp[i].F <= dp[j].F + 1){
dp[i] = {dp[j].F + 1,pref[i] - pref[j]};
break;
}
}
}
return dp[n].F;
}
*/
unordered_map< long long,pair<long long,long long> > t;
void upd(long long pos,pair<long long,long long> val,long long v = 1,long long tl = 1,long long tr = M){
if(tl == tr){
t[v] = val;
return;
}
long long tm = tl + tr >> 1;
if(pos <= tm) upd(pos,val,v + v,tl,tm);
else upd(pos,val,v + v + 1,tm + 1,tr);
t[v] = max(t[v + v],t[v + v + 1]);
}
pair<long long,long long> get(long long l,long long r,long long v = 1,long long tl = 1,long long tr = M){
if(l <= tl && tr <= r) return t[v];
if(tl > r || tr < l) return {0,0};
long long tm = tl + tr >> 1;
return max(get(l,r,v + v,tl,tm),get(l,r,v + v + 1,tm + 1,tr));
}
int fast(){
for(int i = 1; i <= n; i++) pref[i] = pref[i - 1] + a[i],dp[i] = {0,0};
dp[1] = {1,a[1]};
upd(pref[1] + dp[1].S,{dp[1].F,1});
// update in position pref[i] + dp[i].second -> {dp[i].first,postition}
for(int i = 2; i <= n; i++){
dp[i] = {dp[i - 1].F,dp[i - 1].S + a[i]};
pair<long long,long long> cur = get(1,pref[i]);
//cerr << cur.F << " " << cur.S << endl;
if(cur.F > 0) dp[i] = {cur.F + 1,pref[i] - pref[cur.S]};
upd(pref[i] + dp[i].S,{dp[i].F,i});
}
return dp[n].F;
}
int main(){
ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
cin >> n;
for(int i = 1; i <= n; i++) cin >> a[i];
/*
cout << "Exact Solution,SLOW " << slow() << endl;
cout << "Not Exact,FAST " << fast();
*/
cout << fast();
return 0;
}
Compilation message
segments.cpp: In function 'void upd(long long int, std::pair<long long int, long long int>, long long int, long long int, long long int)':
segments.cpp:41:20: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
long long tm = tl + tr >> 1;
~~~^~~~
segments.cpp: In function 'std::pair<long long int, long long int> get(long long int, long long int, long long int, long long int, long long int)':
segments.cpp:50:20: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
long long tm = tl + tr >> 1;
~~~^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
380 KB |
Output is correct |
6 |
Correct |
5 ms |
376 KB |
Output is correct |
7 |
Correct |
5 ms |
376 KB |
Output is correct |
8 |
Correct |
5 ms |
504 KB |
Output is correct |
9 |
Correct |
5 ms |
376 KB |
Output is correct |
10 |
Correct |
5 ms |
376 KB |
Output is correct |
11 |
Correct |
5 ms |
376 KB |
Output is correct |
12 |
Correct |
5 ms |
504 KB |
Output is correct |
13 |
Correct |
5 ms |
376 KB |
Output is correct |
14 |
Correct |
5 ms |
376 KB |
Output is correct |
15 |
Correct |
5 ms |
376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
380 KB |
Output is correct |
6 |
Correct |
5 ms |
376 KB |
Output is correct |
7 |
Correct |
5 ms |
376 KB |
Output is correct |
8 |
Correct |
5 ms |
504 KB |
Output is correct |
9 |
Correct |
5 ms |
376 KB |
Output is correct |
10 |
Correct |
5 ms |
376 KB |
Output is correct |
11 |
Correct |
5 ms |
376 KB |
Output is correct |
12 |
Correct |
5 ms |
504 KB |
Output is correct |
13 |
Correct |
5 ms |
376 KB |
Output is correct |
14 |
Correct |
5 ms |
376 KB |
Output is correct |
15 |
Correct |
5 ms |
376 KB |
Output is correct |
16 |
Correct |
9 ms |
1400 KB |
Output is correct |
17 |
Correct |
10 ms |
2168 KB |
Output is correct |
18 |
Correct |
12 ms |
2344 KB |
Output is correct |
19 |
Correct |
11 ms |
2296 KB |
Output is correct |
20 |
Correct |
11 ms |
2296 KB |
Output is correct |
21 |
Correct |
12 ms |
2472 KB |
Output is correct |
22 |
Correct |
11 ms |
2168 KB |
Output is correct |
23 |
Correct |
9 ms |
1656 KB |
Output is correct |
24 |
Correct |
7 ms |
504 KB |
Output is correct |
25 |
Correct |
12 ms |
2216 KB |
Output is correct |
26 |
Correct |
7 ms |
504 KB |
Output is correct |
27 |
Correct |
6 ms |
504 KB |
Output is correct |
28 |
Correct |
7 ms |
504 KB |
Output is correct |
29 |
Correct |
8 ms |
888 KB |
Output is correct |
30 |
Correct |
8 ms |
888 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
380 KB |
Output is correct |
6 |
Correct |
5 ms |
376 KB |
Output is correct |
7 |
Correct |
5 ms |
376 KB |
Output is correct |
8 |
Correct |
5 ms |
504 KB |
Output is correct |
9 |
Correct |
5 ms |
376 KB |
Output is correct |
10 |
Correct |
5 ms |
376 KB |
Output is correct |
11 |
Correct |
5 ms |
376 KB |
Output is correct |
12 |
Correct |
5 ms |
504 KB |
Output is correct |
13 |
Correct |
5 ms |
376 KB |
Output is correct |
14 |
Correct |
5 ms |
376 KB |
Output is correct |
15 |
Correct |
5 ms |
376 KB |
Output is correct |
16 |
Correct |
9 ms |
1400 KB |
Output is correct |
17 |
Correct |
10 ms |
2168 KB |
Output is correct |
18 |
Correct |
12 ms |
2344 KB |
Output is correct |
19 |
Correct |
11 ms |
2296 KB |
Output is correct |
20 |
Correct |
11 ms |
2296 KB |
Output is correct |
21 |
Correct |
12 ms |
2472 KB |
Output is correct |
22 |
Correct |
11 ms |
2168 KB |
Output is correct |
23 |
Correct |
9 ms |
1656 KB |
Output is correct |
24 |
Correct |
7 ms |
504 KB |
Output is correct |
25 |
Correct |
12 ms |
2216 KB |
Output is correct |
26 |
Correct |
7 ms |
504 KB |
Output is correct |
27 |
Correct |
6 ms |
504 KB |
Output is correct |
28 |
Correct |
7 ms |
504 KB |
Output is correct |
29 |
Correct |
8 ms |
888 KB |
Output is correct |
30 |
Correct |
8 ms |
888 KB |
Output is correct |
31 |
Correct |
43 ms |
8072 KB |
Output is correct |
32 |
Correct |
56 ms |
9020 KB |
Output is correct |
33 |
Correct |
72 ms |
10444 KB |
Output is correct |
34 |
Correct |
50 ms |
9272 KB |
Output is correct |
35 |
Correct |
55 ms |
10424 KB |
Output is correct |
36 |
Correct |
69 ms |
12344 KB |
Output is correct |
37 |
Correct |
56 ms |
10552 KB |
Output is correct |
38 |
Correct |
53 ms |
8888 KB |
Output is correct |
39 |
Correct |
16 ms |
1528 KB |
Output is correct |
40 |
Correct |
66 ms |
11044 KB |
Output is correct |
41 |
Correct |
15 ms |
1528 KB |
Output is correct |
42 |
Correct |
23 ms |
3108 KB |
Output is correct |
43 |
Correct |
16 ms |
1432 KB |
Output is correct |
44 |
Correct |
25 ms |
4488 KB |
Output is correct |
45 |
Correct |
28 ms |
4612 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
380 KB |
Output is correct |
6 |
Correct |
5 ms |
376 KB |
Output is correct |
7 |
Correct |
5 ms |
376 KB |
Output is correct |
8 |
Correct |
5 ms |
504 KB |
Output is correct |
9 |
Correct |
5 ms |
376 KB |
Output is correct |
10 |
Correct |
5 ms |
376 KB |
Output is correct |
11 |
Correct |
5 ms |
376 KB |
Output is correct |
12 |
Correct |
5 ms |
504 KB |
Output is correct |
13 |
Correct |
5 ms |
376 KB |
Output is correct |
14 |
Correct |
5 ms |
376 KB |
Output is correct |
15 |
Correct |
5 ms |
376 KB |
Output is correct |
16 |
Correct |
9 ms |
1400 KB |
Output is correct |
17 |
Correct |
10 ms |
2168 KB |
Output is correct |
18 |
Correct |
12 ms |
2344 KB |
Output is correct |
19 |
Correct |
11 ms |
2296 KB |
Output is correct |
20 |
Correct |
11 ms |
2296 KB |
Output is correct |
21 |
Correct |
12 ms |
2472 KB |
Output is correct |
22 |
Correct |
11 ms |
2168 KB |
Output is correct |
23 |
Correct |
9 ms |
1656 KB |
Output is correct |
24 |
Correct |
7 ms |
504 KB |
Output is correct |
25 |
Correct |
12 ms |
2216 KB |
Output is correct |
26 |
Correct |
7 ms |
504 KB |
Output is correct |
27 |
Correct |
6 ms |
504 KB |
Output is correct |
28 |
Correct |
7 ms |
504 KB |
Output is correct |
29 |
Correct |
8 ms |
888 KB |
Output is correct |
30 |
Correct |
8 ms |
888 KB |
Output is correct |
31 |
Correct |
43 ms |
8072 KB |
Output is correct |
32 |
Correct |
56 ms |
9020 KB |
Output is correct |
33 |
Correct |
72 ms |
10444 KB |
Output is correct |
34 |
Correct |
50 ms |
9272 KB |
Output is correct |
35 |
Correct |
55 ms |
10424 KB |
Output is correct |
36 |
Correct |
69 ms |
12344 KB |
Output is correct |
37 |
Correct |
56 ms |
10552 KB |
Output is correct |
38 |
Correct |
53 ms |
8888 KB |
Output is correct |
39 |
Correct |
16 ms |
1528 KB |
Output is correct |
40 |
Correct |
66 ms |
11044 KB |
Output is correct |
41 |
Correct |
15 ms |
1528 KB |
Output is correct |
42 |
Correct |
23 ms |
3108 KB |
Output is correct |
43 |
Correct |
16 ms |
1432 KB |
Output is correct |
44 |
Correct |
25 ms |
4488 KB |
Output is correct |
45 |
Correct |
28 ms |
4612 KB |
Output is correct |
46 |
Execution timed out |
1576 ms |
148680 KB |
Time limit exceeded |
47 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
380 KB |
Output is correct |
6 |
Correct |
5 ms |
376 KB |
Output is correct |
7 |
Correct |
5 ms |
376 KB |
Output is correct |
8 |
Correct |
5 ms |
504 KB |
Output is correct |
9 |
Correct |
5 ms |
376 KB |
Output is correct |
10 |
Correct |
5 ms |
376 KB |
Output is correct |
11 |
Correct |
5 ms |
376 KB |
Output is correct |
12 |
Correct |
5 ms |
504 KB |
Output is correct |
13 |
Correct |
5 ms |
376 KB |
Output is correct |
14 |
Correct |
5 ms |
376 KB |
Output is correct |
15 |
Correct |
5 ms |
376 KB |
Output is correct |
16 |
Correct |
9 ms |
1400 KB |
Output is correct |
17 |
Correct |
10 ms |
2168 KB |
Output is correct |
18 |
Correct |
12 ms |
2344 KB |
Output is correct |
19 |
Correct |
11 ms |
2296 KB |
Output is correct |
20 |
Correct |
11 ms |
2296 KB |
Output is correct |
21 |
Correct |
12 ms |
2472 KB |
Output is correct |
22 |
Correct |
11 ms |
2168 KB |
Output is correct |
23 |
Correct |
9 ms |
1656 KB |
Output is correct |
24 |
Correct |
7 ms |
504 KB |
Output is correct |
25 |
Correct |
12 ms |
2216 KB |
Output is correct |
26 |
Correct |
7 ms |
504 KB |
Output is correct |
27 |
Correct |
6 ms |
504 KB |
Output is correct |
28 |
Correct |
7 ms |
504 KB |
Output is correct |
29 |
Correct |
8 ms |
888 KB |
Output is correct |
30 |
Correct |
8 ms |
888 KB |
Output is correct |
31 |
Correct |
43 ms |
8072 KB |
Output is correct |
32 |
Correct |
56 ms |
9020 KB |
Output is correct |
33 |
Correct |
72 ms |
10444 KB |
Output is correct |
34 |
Correct |
50 ms |
9272 KB |
Output is correct |
35 |
Correct |
55 ms |
10424 KB |
Output is correct |
36 |
Correct |
69 ms |
12344 KB |
Output is correct |
37 |
Correct |
56 ms |
10552 KB |
Output is correct |
38 |
Correct |
53 ms |
8888 KB |
Output is correct |
39 |
Correct |
16 ms |
1528 KB |
Output is correct |
40 |
Correct |
66 ms |
11044 KB |
Output is correct |
41 |
Correct |
15 ms |
1528 KB |
Output is correct |
42 |
Correct |
23 ms |
3108 KB |
Output is correct |
43 |
Correct |
16 ms |
1432 KB |
Output is correct |
44 |
Correct |
25 ms |
4488 KB |
Output is correct |
45 |
Correct |
28 ms |
4612 KB |
Output is correct |
46 |
Execution timed out |
1576 ms |
148680 KB |
Time limit exceeded |
47 |
Halted |
0 ms |
0 KB |
- |