/// In the name of god
#include <bits/stdc++.h>
#define F first
#define S second
#define pb push_back
#define debug(x) cerr << #x << " : " << x << '\n'
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll, ll> pll;
const ll maxn = 1e5 + 5;
const ll inf = 1e18;
const ll lg = 20;
ll n, a[maxn], dp[maxn][lg + 1][lg + 1], pw2[lg + 1], ANS[maxn];
int main(){
pw2[0] = 1;
for(ll i = 1; i < lg; i ++)pw2[i] = (pw2[i - 1] * 2ll);
cin >> n;
for(ll i = 0; i < n; i ++){
cin >> a[i]; ANS[i] = inf;
for(ll j = 0; j < lg; j ++){
if(a[i] < j)dp[i][0][j] = -1;
else if(a[i] == j)dp[i][0][j] = 0;
else if(a[i] == j + 1)dp[i][0][j] = 1;
else dp[i][0][j] = -1;
}
if(dp[i][0][0] != -1){
if(!i)ANS[i] = min(ANS[i], dp[i][0][0]);
else if(ANS[i - 1] != -1)ANS[i] = min(ANS[i], dp[i][0][0] + ANS[i - 1]);
}
ll d;
for(ll j = 1; j < lg; j ++){
for(ll k = 0; k < lg; k ++){
if(pw2[j] > (i + 1ll)){
dp[i][j][k] = -1;
continue;
}
d = inf;
if((k < (lg - 1ll)) &&(dp[i][j - 1][k + 1] != -1) && (dp[i - pw2[j - 1]][j - 1][k + 1] != -1))
d = min(d, dp[i - pw2[j - 1]][j - 1][k + 1] + dp[i][j - 1][k + 1] + 1ll);
if((dp[i][j - 1][k] != -1) && (dp[i - pw2[j - 1]][j - 1][k] != -1))
d = min(d, dp[i - pw2[j - 1]][j - 1][k] + dp[i][j - 1][k]);
if(d == inf)d = -1;
dp[i][j][k] = d;
}
if(dp[i][j][0] != -1){
if(pw2[j] == i + 1ll)ANS[i] = min(ANS[i], dp[i][j][0]);
else if(ANS[i - pw2[j]] != -1)ANS[i] = min(ANS[i], dp[i][j][0] + ANS[i - pw2[j]]);
}
}
if(ANS[i] == inf)ANS[i] = -1;
}
cout << ANS[n - 1];
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2380 KB |
Output is correct |
2 |
Correct |
2 ms |
2380 KB |
Output is correct |
3 |
Correct |
2 ms |
2380 KB |
Output is correct |
4 |
Correct |
2 ms |
2380 KB |
Output is correct |
5 |
Correct |
2 ms |
2380 KB |
Output is correct |
6 |
Correct |
2 ms |
2380 KB |
Output is correct |
7 |
Correct |
2 ms |
2380 KB |
Output is correct |
8 |
Correct |
3 ms |
2380 KB |
Output is correct |
9 |
Correct |
2 ms |
2380 KB |
Output is correct |
10 |
Correct |
2 ms |
2380 KB |
Output is correct |
11 |
Correct |
2 ms |
2380 KB |
Output is correct |
12 |
Correct |
2 ms |
2380 KB |
Output is correct |
13 |
Correct |
2 ms |
2380 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2380 KB |
Output is correct |
2 |
Correct |
2 ms |
2380 KB |
Output is correct |
3 |
Correct |
2 ms |
2380 KB |
Output is correct |
4 |
Correct |
2 ms |
2380 KB |
Output is correct |
5 |
Correct |
2 ms |
2380 KB |
Output is correct |
6 |
Correct |
2 ms |
2380 KB |
Output is correct |
7 |
Correct |
2 ms |
2380 KB |
Output is correct |
8 |
Correct |
3 ms |
2380 KB |
Output is correct |
9 |
Correct |
2 ms |
2380 KB |
Output is correct |
10 |
Correct |
2 ms |
2380 KB |
Output is correct |
11 |
Correct |
2 ms |
2380 KB |
Output is correct |
12 |
Correct |
2 ms |
2380 KB |
Output is correct |
13 |
Correct |
2 ms |
2380 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
588 KB |
Output is correct |
17 |
Correct |
1 ms |
588 KB |
Output is correct |
18 |
Correct |
3 ms |
3660 KB |
Output is correct |
19 |
Correct |
3 ms |
3660 KB |
Output is correct |
20 |
Correct |
30 ms |
34984 KB |
Output is correct |
21 |
Correct |
28 ms |
34912 KB |
Output is correct |
22 |
Correct |
291 ms |
347216 KB |
Output is correct |
23 |
Correct |
304 ms |
347336 KB |
Output is correct |
24 |
Correct |
294 ms |
347236 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
588 KB |
Output is correct |
27 |
Correct |
1 ms |
588 KB |
Output is correct |
28 |
Correct |
3 ms |
3788 KB |
Output is correct |
29 |
Correct |
29 ms |
34892 KB |
Output is correct |
30 |
Correct |
29 ms |
34980 KB |
Output is correct |
31 |
Correct |
32 ms |
34964 KB |
Output is correct |
32 |
Correct |
30 ms |
34892 KB |
Output is correct |
33 |
Correct |
340 ms |
347172 KB |
Output is correct |
34 |
Correct |
347 ms |
347240 KB |
Output is correct |
35 |
Correct |
338 ms |
347268 KB |
Output is correct |
36 |
Correct |
304 ms |
347220 KB |
Output is correct |
37 |
Correct |
355 ms |
347312 KB |
Output is correct |
38 |
Correct |
285 ms |
347204 KB |
Output is correct |
39 |
Correct |
283 ms |
347160 KB |
Output is correct |
40 |
Correct |
299 ms |
347388 KB |
Output is correct |
41 |
Correct |
287 ms |
347152 KB |
Output is correct |
42 |
Correct |
310 ms |
347332 KB |
Output is correct |
43 |
Correct |
324 ms |
347204 KB |
Output is correct |
44 |
Correct |
296 ms |
347208 KB |
Output is correct |
45 |
Correct |
285 ms |
347148 KB |
Output is correct |
46 |
Correct |
294 ms |
347204 KB |
Output is correct |
47 |
Correct |
207 ms |
231520 KB |
Output is correct |
48 |
Correct |
273 ms |
270228 KB |
Output is correct |
49 |
Correct |
258 ms |
308672 KB |
Output is correct |
50 |
Correct |
286 ms |
347164 KB |
Output is correct |
51 |
Correct |
30 ms |
34892 KB |
Output is correct |
52 |
Correct |
289 ms |
347164 KB |
Output is correct |