#include<bits/stdc++.h>
#pragma GCC target("avx2")
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
using namespace std;
#define fast ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define file(s) freopen(s".in", "r", stdin);freopen(s".out", "w", stdout);
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
#define pb push_back
#define pf push_front
#define ppb pop_back
#define ft first
#define sd second
#define ll long long
#define pii pair<int,int>
#define pll pair<ll,ll>
const int N = 1e6 + 10;
const int M = 2e7 + 5;
const int B = 316;
const ll msize = 2;
const ll mod1 = 1e9 + 7;
const ll mod2 = 998244353;
const long double Phi = acos(-1);
const long long inf = 2e18;
const vector <pair<int, int>> dir = {{-1, 0}, {1, 0}, {0, -1}, {0, 1}};
ll binmul(ll x, ll ti, ll m);
ll binpow(ll x, ll ti, ll m);
ll n, a[3005], dp[3005][3005], pref[3005], suf[3005][3005];
const void solve() {
cin >> n;
for (int i = 1; i <= n; ++ i) cin >> a[i], pref[i] = pref[i - 1] + a[i];
for (int i = 0; i <= n; ++ i) {
for (int j = 0; j <= n; ++ j) {
dp[i][j] = suf[i][j] = -inf;
}
}
for (int i = 1; i <= n; ++ i) dp[1][i] = 1;
suf[1][1] = 1;
for (int i = 2; i <= n; ++ i) {
for (int j = i; j >= 1; -- j) {
// for (int k = j - 1; k >= 1; -- k) {
// ll sum1 = pref[i] - pref[j - 1];
// ll sum2 = pref[j - 1] - pref[k - 1];
// if (sum2 <= sum1) {
// dp[j][i] = max(dp[j][i], dp[k][j - 1] + 1);
// }
// }
int l = 1, r = j - 1, k = -1;
while (l <= r) {
int mid = (l + r) / 2;
if (pref[j - 1] - pref[mid - 1] <= pref[i] - pref[j - 1]) r = mid - 1, k = mid;
else l = mid + 1;
}
if (k != -1) dp[j][i] = max(dp[j][i], suf[k][j - 1] + 1);
}
suf[i][i] = dp[i][i];
for (int j = i - 1; j >= 1; -- j)
suf[j][i] = max(dp[j][i], suf[j + 1][i]);
}
ll ans = 0;
for (int i = 1; i <= n; ++ i) ans = max(ans, dp[i][n]);
cout << ans;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
srand(time(NULL));
// file("maze");
// freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
int tt = 1;
// cin >> tt;
for (int i = 1; i <= tt; ++ i) {
solve();
}
#ifndef ONLINE_JUDGE
cerr << "\n" << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n";
#endif
return 0;
}
// Template functions
ll binmul(ll x, ll ti, ll m) { ll res = 0;while (ti){if(ti & 1)res += x;x += x;ti >>= 1; x %= m; res %= m;} return res;}
ll binpow(ll x, ll ti, ll m) { ll res = 1;while (ti){if(ti & 1)(res *= x)%=m;(x*=x)%=m;ti >>= 1; x %= m; res %= m;} return res;}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
424 KB |
Output is correct |
4 |
Correct |
1 ms |
2648 KB |
Output is correct |
5 |
Correct |
0 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
0 ms |
2652 KB |
Output is correct |
13 |
Correct |
1 ms |
2392 KB |
Output is correct |
14 |
Correct |
1 ms |
2652 KB |
Output is correct |
15 |
Correct |
0 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
424 KB |
Output is correct |
4 |
Correct |
1 ms |
2648 KB |
Output is correct |
5 |
Correct |
0 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
0 ms |
2652 KB |
Output is correct |
13 |
Correct |
1 ms |
2392 KB |
Output is correct |
14 |
Correct |
1 ms |
2652 KB |
Output is correct |
15 |
Correct |
0 ms |
2396 KB |
Output is correct |
16 |
Correct |
5 ms |
12380 KB |
Output is correct |
17 |
Correct |
4 ms |
13660 KB |
Output is correct |
18 |
Correct |
5 ms |
12380 KB |
Output is correct |
19 |
Correct |
4 ms |
13884 KB |
Output is correct |
20 |
Correct |
4 ms |
13660 KB |
Output is correct |
21 |
Correct |
5 ms |
13660 KB |
Output is correct |
22 |
Correct |
3 ms |
11868 KB |
Output is correct |
23 |
Correct |
2 ms |
8796 KB |
Output is correct |
24 |
Correct |
5 ms |
13728 KB |
Output is correct |
25 |
Correct |
5 ms |
13660 KB |
Output is correct |
26 |
Correct |
6 ms |
12516 KB |
Output is correct |
27 |
Correct |
4 ms |
12380 KB |
Output is correct |
28 |
Correct |
4 ms |
13660 KB |
Output is correct |
29 |
Correct |
4 ms |
12380 KB |
Output is correct |
30 |
Correct |
4 ms |
15080 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
424 KB |
Output is correct |
4 |
Correct |
1 ms |
2648 KB |
Output is correct |
5 |
Correct |
0 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
0 ms |
2652 KB |
Output is correct |
13 |
Correct |
1 ms |
2392 KB |
Output is correct |
14 |
Correct |
1 ms |
2652 KB |
Output is correct |
15 |
Correct |
0 ms |
2396 KB |
Output is correct |
16 |
Correct |
5 ms |
12380 KB |
Output is correct |
17 |
Correct |
4 ms |
13660 KB |
Output is correct |
18 |
Correct |
5 ms |
12380 KB |
Output is correct |
19 |
Correct |
4 ms |
13884 KB |
Output is correct |
20 |
Correct |
4 ms |
13660 KB |
Output is correct |
21 |
Correct |
5 ms |
13660 KB |
Output is correct |
22 |
Correct |
3 ms |
11868 KB |
Output is correct |
23 |
Correct |
2 ms |
8796 KB |
Output is correct |
24 |
Correct |
5 ms |
13728 KB |
Output is correct |
25 |
Correct |
5 ms |
13660 KB |
Output is correct |
26 |
Correct |
6 ms |
12516 KB |
Output is correct |
27 |
Correct |
4 ms |
12380 KB |
Output is correct |
28 |
Correct |
4 ms |
13660 KB |
Output is correct |
29 |
Correct |
4 ms |
12380 KB |
Output is correct |
30 |
Correct |
4 ms |
15080 KB |
Output is correct |
31 |
Correct |
155 ms |
141532 KB |
Output is correct |
32 |
Correct |
139 ms |
141660 KB |
Output is correct |
33 |
Correct |
156 ms |
141564 KB |
Output is correct |
34 |
Correct |
142 ms |
141648 KB |
Output is correct |
35 |
Correct |
157 ms |
141652 KB |
Output is correct |
36 |
Correct |
180 ms |
141648 KB |
Output is correct |
37 |
Correct |
128 ms |
118100 KB |
Output is correct |
38 |
Correct |
88 ms |
80580 KB |
Output is correct |
39 |
Correct |
180 ms |
141648 KB |
Output is correct |
40 |
Correct |
164 ms |
141660 KB |
Output is correct |
41 |
Correct |
143 ms |
141568 KB |
Output is correct |
42 |
Correct |
145 ms |
141648 KB |
Output is correct |
43 |
Correct |
165 ms |
141652 KB |
Output is correct |
44 |
Correct |
148 ms |
141596 KB |
Output is correct |
45 |
Correct |
156 ms |
141652 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
424 KB |
Output is correct |
4 |
Correct |
1 ms |
2648 KB |
Output is correct |
5 |
Correct |
0 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
0 ms |
2652 KB |
Output is correct |
13 |
Correct |
1 ms |
2392 KB |
Output is correct |
14 |
Correct |
1 ms |
2652 KB |
Output is correct |
15 |
Correct |
0 ms |
2396 KB |
Output is correct |
16 |
Correct |
5 ms |
12380 KB |
Output is correct |
17 |
Correct |
4 ms |
13660 KB |
Output is correct |
18 |
Correct |
5 ms |
12380 KB |
Output is correct |
19 |
Correct |
4 ms |
13884 KB |
Output is correct |
20 |
Correct |
4 ms |
13660 KB |
Output is correct |
21 |
Correct |
5 ms |
13660 KB |
Output is correct |
22 |
Correct |
3 ms |
11868 KB |
Output is correct |
23 |
Correct |
2 ms |
8796 KB |
Output is correct |
24 |
Correct |
5 ms |
13728 KB |
Output is correct |
25 |
Correct |
5 ms |
13660 KB |
Output is correct |
26 |
Correct |
6 ms |
12516 KB |
Output is correct |
27 |
Correct |
4 ms |
12380 KB |
Output is correct |
28 |
Correct |
4 ms |
13660 KB |
Output is correct |
29 |
Correct |
4 ms |
12380 KB |
Output is correct |
30 |
Correct |
4 ms |
15080 KB |
Output is correct |
31 |
Correct |
155 ms |
141532 KB |
Output is correct |
32 |
Correct |
139 ms |
141660 KB |
Output is correct |
33 |
Correct |
156 ms |
141564 KB |
Output is correct |
34 |
Correct |
142 ms |
141648 KB |
Output is correct |
35 |
Correct |
157 ms |
141652 KB |
Output is correct |
36 |
Correct |
180 ms |
141648 KB |
Output is correct |
37 |
Correct |
128 ms |
118100 KB |
Output is correct |
38 |
Correct |
88 ms |
80580 KB |
Output is correct |
39 |
Correct |
180 ms |
141648 KB |
Output is correct |
40 |
Correct |
164 ms |
141660 KB |
Output is correct |
41 |
Correct |
143 ms |
141568 KB |
Output is correct |
42 |
Correct |
145 ms |
141648 KB |
Output is correct |
43 |
Correct |
165 ms |
141652 KB |
Output is correct |
44 |
Correct |
148 ms |
141596 KB |
Output is correct |
45 |
Correct |
156 ms |
141652 KB |
Output is correct |
46 |
Correct |
2 ms |
11100 KB |
Output is correct |
47 |
Incorrect |
84 ms |
95424 KB |
Output isn't correct |
48 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
424 KB |
Output is correct |
4 |
Correct |
1 ms |
2648 KB |
Output is correct |
5 |
Correct |
0 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
0 ms |
2652 KB |
Output is correct |
13 |
Correct |
1 ms |
2392 KB |
Output is correct |
14 |
Correct |
1 ms |
2652 KB |
Output is correct |
15 |
Correct |
0 ms |
2396 KB |
Output is correct |
16 |
Correct |
5 ms |
12380 KB |
Output is correct |
17 |
Correct |
4 ms |
13660 KB |
Output is correct |
18 |
Correct |
5 ms |
12380 KB |
Output is correct |
19 |
Correct |
4 ms |
13884 KB |
Output is correct |
20 |
Correct |
4 ms |
13660 KB |
Output is correct |
21 |
Correct |
5 ms |
13660 KB |
Output is correct |
22 |
Correct |
3 ms |
11868 KB |
Output is correct |
23 |
Correct |
2 ms |
8796 KB |
Output is correct |
24 |
Correct |
5 ms |
13728 KB |
Output is correct |
25 |
Correct |
5 ms |
13660 KB |
Output is correct |
26 |
Correct |
6 ms |
12516 KB |
Output is correct |
27 |
Correct |
4 ms |
12380 KB |
Output is correct |
28 |
Correct |
4 ms |
13660 KB |
Output is correct |
29 |
Correct |
4 ms |
12380 KB |
Output is correct |
30 |
Correct |
4 ms |
15080 KB |
Output is correct |
31 |
Correct |
155 ms |
141532 KB |
Output is correct |
32 |
Correct |
139 ms |
141660 KB |
Output is correct |
33 |
Correct |
156 ms |
141564 KB |
Output is correct |
34 |
Correct |
142 ms |
141648 KB |
Output is correct |
35 |
Correct |
157 ms |
141652 KB |
Output is correct |
36 |
Correct |
180 ms |
141648 KB |
Output is correct |
37 |
Correct |
128 ms |
118100 KB |
Output is correct |
38 |
Correct |
88 ms |
80580 KB |
Output is correct |
39 |
Correct |
180 ms |
141648 KB |
Output is correct |
40 |
Correct |
164 ms |
141660 KB |
Output is correct |
41 |
Correct |
143 ms |
141568 KB |
Output is correct |
42 |
Correct |
145 ms |
141648 KB |
Output is correct |
43 |
Correct |
165 ms |
141652 KB |
Output is correct |
44 |
Correct |
148 ms |
141596 KB |
Output is correct |
45 |
Correct |
156 ms |
141652 KB |
Output is correct |
46 |
Correct |
2 ms |
11100 KB |
Output is correct |
47 |
Incorrect |
84 ms |
95424 KB |
Output isn't correct |
48 |
Halted |
0 ms |
0 KB |
- |