이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <iostream>
#include <algorithm>
#include <string>
#include <vector>
#include <cmath>
#include <chrono>
#include <ctime>
#include <set>
#include <map>
#include <stack>
#include <queue>
#include <deque>
#include <limits>
#include <iomanip>
#include <unordered_set>
#include <unordered_map>
#include <fstream>
#include <functional>
#include <random>
#include <cassert>
using namespace std;
typedef long long ll;
typedef long double ld;
#define ff first
#define ss second
ll ttt;
const ll INF = 1e18;
const ll MOD = 1e9 + 7;
const ll N = 3007;
ll n, m, k;
ll a[N];
ll dp[N][N];
ll pf[N];
ll dppf[N];
ll t[N][4 * N];
void build(int v, int tl, int tr, int i) {
if (tl == tr) {
t[i][v] = 0;
}
else {
int tm = (tl + tr) / 2;
build(2 * v, tl, tm, i);
build(2 * v + 1, tm + 1, tr, i);
t[i][v] = max(t[i][2 * v], t[i][2 * v + 1]);
}
}
void update(int v, int tl, int tr, int ind, ll val, int i) {
if (tl == tr) {
t[i][v] = val;
}
else {
int tm = (tl + tr) / 2;
if (ind <= tm) {
update(2 * v, tl, tm, ind, val, i);
}
else {
update(2 * v + 1, tm + 1, tr, ind, val, i);
}
t[i][v] = max(t[i][2 * v], t[i][2 * v + 1]);
}
}
ll get_max(int v, int tl, int tr, int l, int r, int i) {
if (l > r)return -MOD;
if (tl == l && tr == r) {
return t[i][v];
}
else {
int tm = (tl + tr) / 2;
return max(get_max(2 * v, tl, tm, l, min(r, tm), i),
get_max(2 * v + 1, tm + 1, tr, max(l, tm + 1), r, i));
}
}
ll pref(int l, int r) {
if (l == 0)return pf[r];
return pf[r] - pf[l - 1];
}
int find_ind(ll sum, int j) {
if (a[j] > sum) {
return -1;
}
int l = 0, r = j;
while (r > l) {
int mid = (l + r) / 2;
if (pref(mid, j) <= sum) {
r = mid;
}
else {
l = mid + 1;
}
}
return l;
}
int main() {
cin >> n;
for (int i = 0; i < n; i++) {
cin >> a[i];
if (i == 0)pf[i] = a[i];
else pf[i] = pf[i - 1] + a[i];
}
for (int i = 0; i < n; i++) {
for (int j = 0; j <= i; j++) {
if (j == 0) {
dp[i][j] = 1;
}
else {
int p = find_ind(pref(j, i), j - 1);
if (p == -1) {
dp[i][j] = -MOD;
}
else {
//cout << p << ", " << j - 1 << ": ";
dp[i][j] = get_max(1, 0, n - 1, p, j - 1, j - 1) + 1;
}
}
//cout << dp[i][j] << " ";
}
//cout << endl;
build(1, 0, n - 1, i);
for (int j = 0; j <= i; j++) {
update(1, 0, n - 1, j, dp[i][j], i);
}
}
ll ans = 0;
for (int i = 0; i < n; i++) {
ans = max(ans, dp[n - 1][i]);
}
cout << ans << endl;
return 0;
}
/// ---- - -------- ------ -------- -- - - -
/// Just a reminder. Ubuntu password is I O I
/// ---- - -------- ------ -------- -- - - -
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