# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1123834 | gdragon | Money (IZhO17_money) | C++20 | 0 ms | 320 KiB |
#include <bits/stdc++.h>
using namespace std;
#define TASK "long"
#define fi first
#define se second
#define ll long long
#define pb push_back
#define ALL(x) (x).begin(), (x).end()
#define GETBIT(mask, i) ((mask) >> (i) & 1)
#define MASK(i) ((1LL) << (i))
#define SZ(x) ((int)(x).size())
#define mp make_pair
#define CNTBIT(mask) __builtin_popcount(mask)
template<class X, class Y> bool maximize(X &x, Y y){ if (x < y) {x = y; return true;} return false;};
template<class X, class Y> bool minimize(X &x, Y y){ if (x > y) {x = y; return true;} return false;};
typedef pair<int, int> ii;
const int N = 1e5 + 5;
const int inf = 1e9 + 7;
const long long INF = (long long)1e18 + 7;
const int mod = 1e9 + 7;
void add(int &x, int y) {x += y; if (x >= mod) x -= mod;}
void sub(int &x, int y) {x -= y; if (x < 0) x += mod;}
int mul(int x, int y) {return 1LL * x * y % mod;}
// -----------------------------------------//
int n;
int a[N];
void read() {
cin >> n;
for(int i = 1; i <= n; i++) cin >> a[i];
}
void sub3() {
vector<vector<bool>> dp;
vector<int> val[305];
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= i; j++) val[i].push_back(a[j]);
sort(ALL(val[i]));
val[i].erase(unique(ALL(val[i])), val[i].end());
}
val[0].push_back(0);
dp.assign(n + 2, vector<bool>(n + 2, 0));
dp[0][0] = 1;
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= i; j++) {
dp[i][j] = dp[i - 1][j - 1];
for(int k = i; k >= 1; k--) {
if (k < i && a[k] > a[k + 1]) break;
if (!dp[k - 1][j - 1]) continue;
if (a[i] <= val[k - 1][0]) dp[i][j] = 1;
else if (a[k] >= val[k - 1].back()) dp[i][j] = 1;
else {
int p = lower_bound(ALL(val[k - 1]), a[k]) - val[k - 1].begin();
if (p < val[k - 1].size() && val[k - 1][p + 1] >= a[i]) dp[i][j] = 1;
}
}
}
}
for(int i = 1; i <= n; i++) if (dp[n][i]) {
cout << i;
break;
}
}
void solve() {
if (n <= 300) sub3();
}
signed main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
if (fopen(TASK".inp", "r")) {
freopen(TASK".inp", "r", stdin);
freopen(TASK".out", "w", stdout);
}
int test = 1;
// cin >> test;
while(test--) {
read();
solve();
}
return 0;
}
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