#include <bits/stdc++.h>
using namespace std;
using vi = vector<int>;
using vii = vector<vi>;
using vs = vector<string>;
using vss = vector<vs>;
using vb = vector<bool>;
using vbb = vector<vb>;
using ii = pair<int, int>;
using vpi = vector<ii>;
using vpii = vector<vpi>;
using ll = long long;
using vll = vector<ll>;
using vvll = vector<vll>;
using table = unordered_map<unsigned long, int>;
using pll = pair<ll,ll>;
using vpl = vector<pll>;
using vpll = vector<vpl>;
#define f first
#define s second
#define forn(i, n) for(int i = 0; i < n; i++)
#define fore(i, a, b) for(int i = a; i <= b; i++)
#define for1n(i, n) for(int i = 1; i <= n; i++)
#define rof(i, n) for(int i = n-1; i >= 0; i--)
#define rofe(i, a, b) for(int i = b; i >= a; i--)
#define all(x) x.begin(), x.end()
#define dsc(type) greater<type>
#define Flag cout << "Reached here.\n";
#define FASTIO ios::sync_with_stdio(0); cin.tie(0);
#define pb push_back
#define pbb pop_back
#define sz size
#define rsz resize
#define rsv reserve
#define ins insert
#define lb(a, val) lower_bound(all(a), val);
#define ub(a, val) upper_bound(all(a), val);
#define onec(x) __builtin_popcount(x)
#define end0(x) __builtin_clz(x)
#define beg0(x) __builtin_ctz(x)
#define MAX 100000000
#define MIN -MAX
#define mod 1000000007LL
#define clr(x, y) memset(x, y, sizeof(x))
template<class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
int dx[] = {0, 1, -1, 0};
int dy[] = {1, 0, 0, -1};
#define N 302
#define H 202
int dp[H][H][N];
int h[N];
int n;
int memo(int last, int cur, int i) {
if(last < 0 || cur < 0) return MAX;
if(i == 1) {
int mx = max(last, cur), mn = min(last, cur);
return dp[last][cur][i] = (mn * 5) + ((mx-mn) * 3);
}
if(dp[last][cur][i] != -1) return dp[last][cur][i];
dp[last][cur][i] = MAX;
//take full
int v = min({last, h[i-2], cur});
if(v == cur) dp[last][cur][i] = min(dp[last][cur][i], memo(h[i-2]-v, last-v, i-1) + (7*v));
dp[last][cur][i] = min({
dp[last][cur][i],
memo(last-1, cur-1, i) + 5,
memo(last, cur-1, i) + 3,
});
return dp[last][cur][i];
}
void solve() {
cin >> n;
forn(i, n) cin >> h[i];
if(n == 1) {
cout << (h[0] * 3) << '\n';
return;
}
clr(dp, -1);
cout << memo(h[n-2], h[n-1], n-1) << '\n';
}
int main() {
FASTIO;
solve();
}
/*
Let dp[last][cur][i] denote the ith element with current height and last height.
Obviously, we would want our cur to be h[i], and last to be h[i-1] in the final
answer. now, we select the minimum of the three following options:
dp[last][cur-1][i] + 3, we are doing first operation.
dp[last-1][cur-1][i] + 5, we are doing second operation.
we don't have the third parameter. in this case, we must look at the total
number of possible third operations we can do. Let v denote that.
Let's consider i-1. last-v will be our cur element, and maximum possible
from i-2 will be h[i-2]-v. Thus, our candidate:
dp[h[i-2]-v][last-v][i-1] + (7*v)
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
18 ms |
48512 KB |
Output is correct |
3 |
Correct |
22 ms |
48456 KB |
Output is correct |
4 |
Correct |
20 ms |
48520 KB |
Output is correct |
5 |
Correct |
18 ms |
48448 KB |
Output is correct |
6 |
Correct |
18 ms |
48496 KB |
Output is correct |
7 |
Correct |
18 ms |
48460 KB |
Output is correct |
8 |
Correct |
18 ms |
48468 KB |
Output is correct |
9 |
Correct |
21 ms |
48480 KB |
Output is correct |
10 |
Correct |
22 ms |
48576 KB |
Output is correct |
11 |
Correct |
36 ms |
49048 KB |
Output is correct |
12 |
Correct |
25 ms |
48596 KB |
Output is correct |
13 |
Correct |
38 ms |
48980 KB |
Output is correct |
14 |
Correct |
52 ms |
49192 KB |
Output is correct |
15 |
Correct |
125 ms |
49396 KB |
Output is correct |
16 |
Correct |
116 ms |
49164 KB |
Output is correct |
17 |
Correct |
178 ms |
48588 KB |
Output is correct |
18 |
Correct |
204 ms |
49060 KB |
Output is correct |
19 |
Correct |
157 ms |
49364 KB |
Output is correct |
20 |
Correct |
171 ms |
49048 KB |
Output is correct |