This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
void debug_out() { cerr << endl; }
template<typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
cerr << "[" << H << "]";
debug_out(T...);
}
#ifdef dddxxz
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif
#define SZ(s) ((int)s.size())
clock_t startTime;
double getCurrentTime() {
return (double) (clock() - startTime) / CLOCKS_PER_SEC;
}
typedef long long ll;
//mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
const double eps = 0.00001;
const int MOD = 1e9 + 7;
const int INF = 1000000101;
const long long LLINF = 1223372000000000555;
const int N = 1e6 + 4e4;
const int M = 3201;
const int L = 19;
ll a[M];
ll dp[M][M];
ll pref[M];
ll get(int l, int r){
if (l > r) return 0;
return pref[r] - pref[l - 1];
}
struct SegTree{
int size = 1;
int idx = 1;
vector<ll> tree;
void build(int v, int tl, int tr){
if (tl == tr){
tree[v] = dp[tl][idx] + get(1, tl);
return;
}
int tm = (tl + tr) >> 1;
build(v + v, tl, tm);
build(v + v + 1, tm + 1, tr);
tree[v] = min(tree[v + v], tree[v + v + 1]);
}
void init(int n, int x){
idx = x;
while (size < n) size *= 2;
tree.resize(size * 2);
build(1, 1, size);
}
int find(int v, int tl, int tr, ll val){
if (tl == tr) return tl;
int tm = (tl + tr) >> 1;
if (tree[v + v + 1] <= val) return find(v + v + 1, tm + 1, tr, val);
if (tree[v + v] <= val) return find(v + v, tl, tm, val);
return 0;
}
int find(ll x){
return find(1, 1, size, x);
}
} st[M];
void solve(int TC) {
int n;
cin >> n;
for (int i = 1; i <= n; i++){
cin >> a[i];
pref[i] = pref[i - 1] + a[i];
}
for (auto & i : dp) for (long long & j : i) j = LLINF;
dp[0][0] = 0;
for (int j = 1; j <= n; j++){
if (j == 1){
for (int i = 1; i <= n; i++){
dp[i][j] = get(1, i);
}
} else {
for (int i = j; i <= n; i++) {
int k = st[j - 1].find(get(1, i));
//debug(i, j, k);
if (dp[k][j - 1] <= get(k + 1, i)) {
dp[i][j] = get(k + 1, i);
}
}
}
st[j].init(n, j);
}
/*for (int i = 1; i <= n; i++){
for (int j = 1; j <= n; j++){
cout << dp[i][j] << ' ';
}
cout << endl;
}*/
int ans = 0;
for (int i = 1; i <= n; i++){
if (dp[n][i] != LLINF) ans = i;
}
cout << ans;
}
int main() {
startTime = clock();
ios_base::sync_with_stdio(false);
bool llololcal = false;
#ifdef dddxxz
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
llololcal = true;
#endif
int TC = 1;
//cin >> TC;
for (int test = 1; test <= TC; test++) {
debug(test);
solve(test);
}
if (llololcal) cerr << endl << "Time: " << getCurrentTime() * 1000 << " ms" << endl;
return 0;
}
Compilation message (stderr)
segments.cpp: In function 'int main()':
segments.cpp:18:20: warning: statement has no effect [-Wunused-value]
18 | #define debug(...) 42
| ^~
segments.cpp:146:9: note: in expansion of macro 'debug'
146 | debug(test);
| ^~~~~
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