#include <bits/stdc++.h>
#define int long long
#define INF 1000000000000000
#define lchild(i) (i*2 + 1)
#define rchild(i) (i*2 + 2)
#define mid(l, u) ((l+u)/2)
#define x(p) p.first
#define y(p) p.second
#define MOD 998244353
using namespace std;
int n, a, b;
int arr[2005];
int pow2[45];
bool check(int ans, int lat, int curr){
//find overlap of first (lat - 1) powers
int temp = ans|curr;
int diff = temp - ans;
//sum of first (lat - 1) powers = 2^lat - 1
if(diff > (pow2[lat] - 1)) return false;
return true;
}
bool dp(int ans, int lat){ //o(n^2)
int dp[n+1]; //minimum number of partitions required
dp[0] = 0;
for(int i = 1;i<=n;i++){
dp[i] = INF;
int sum = 0;
for(int j = i;j>=1;j--){
sum+=arr[j];
if(check(ans, lat, sum)) dp[i] = min(dp[i], dp[j-1] + 1);
}
//cout<<"dp["<<i<<"] = "<<dp[i]<<" for ans = "<<ans<<" and lat = "<<lat<<"\n";
}
if(dp[n]<=b) return true;
return false;
}
int dp1(int ans, int lat){//o(n^3)
bool dp[n+1][n+1]; //whether it's possible
for(int i = 0;i<=n;i++) dp[0][i] = false;
dp[0][0] = true;
for(int i = 1;i<=n;i++){
for(int k = 0;k<=n;k++){
dp[i][k] = false;
}
int sum = 0;
for(int j = i;j>=1;j--){
sum+=arr[j];
if(check(ans, lat, sum)){
for(int k = 1;k<=n;k++){
if(dp[j-1][k-1]) dp[i][k] = true;
}
}
}
}
bool found = false;
for(int i = a;i<=b;i++) found = found || dp[n][i];
return found;
}
bool f(int ans, int lat){ //o(n^3)
if(a==1){
return dp(ans, lat);
}
else{
return dp1(ans, lat);
}
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
cin>>n>>a>>b;
for(int i = 1;i<=n;i++) cin>>arr[i];
pow2[0] = 1;
for(int i = 1;i<45;i++) pow2[i] = pow2[i-1]*2;
int ans = 0;
for(int i = 40;i>=0;i--){
bool can = f(ans, i);
//cout<<i<<" "<<can<<"\n";
if(!can) ans+=pow2[i];
}
cout<<ans<<"\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
4 ms |
384 KB |
Output is correct |
6 |
Correct |
6 ms |
384 KB |
Output is correct |
7 |
Correct |
4 ms |
384 KB |
Output is correct |
8 |
Correct |
4 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
512 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
4 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
4 ms |
384 KB |
Output is correct |
17 |
Correct |
4 ms |
384 KB |
Output is correct |
18 |
Correct |
4 ms |
384 KB |
Output is correct |
19 |
Correct |
5 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
384 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
5 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
5 ms |
384 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
4 ms |
384 KB |
Output is correct |
29 |
Correct |
4 ms |
384 KB |
Output is correct |
30 |
Correct |
4 ms |
384 KB |
Output is correct |
31 |
Correct |
5 ms |
384 KB |
Output is correct |
32 |
Correct |
5 ms |
384 KB |
Output is correct |
33 |
Correct |
4 ms |
384 KB |
Output is correct |
34 |
Correct |
5 ms |
384 KB |
Output is correct |
35 |
Correct |
5 ms |
384 KB |
Output is correct |
36 |
Correct |
5 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
512 KB |
Output is correct |
7 |
Correct |
4 ms |
384 KB |
Output is correct |
8 |
Correct |
4 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
384 KB |
Output is correct |
15 |
Correct |
5 ms |
384 KB |
Output is correct |
16 |
Correct |
4 ms |
384 KB |
Output is correct |
17 |
Correct |
4 ms |
384 KB |
Output is correct |
18 |
Correct |
4 ms |
384 KB |
Output is correct |
19 |
Correct |
5 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
384 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
5 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
5 ms |
384 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
384 KB |
Output is correct |
27 |
Correct |
4 ms |
384 KB |
Output is correct |
28 |
Correct |
5 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
5 ms |
384 KB |
Output is correct |
31 |
Correct |
5 ms |
384 KB |
Output is correct |
32 |
Correct |
5 ms |
384 KB |
Output is correct |
33 |
Correct |
5 ms |
384 KB |
Output is correct |
34 |
Correct |
5 ms |
384 KB |
Output is correct |
35 |
Correct |
5 ms |
384 KB |
Output is correct |
36 |
Correct |
5 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
4 ms |
384 KB |
Output is correct |
6 |
Correct |
4 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
4 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
416 KB |
Output is correct |
17 |
Correct |
5 ms |
416 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
5 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
384 KB |
Output is correct |
21 |
Correct |
6 ms |
384 KB |
Output is correct |
22 |
Correct |
5 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
360 KB |
Output is correct |
24 |
Correct |
6 ms |
360 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
8 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
6 ms |
384 KB |
Output is correct |
31 |
Correct |
5 ms |
384 KB |
Output is correct |
32 |
Correct |
6 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
7 ms |
384 KB |
Output is correct |
5 |
Correct |
4 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
288 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
384 KB |
Output is correct |
15 |
Correct |
6 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
6 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
384 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
5 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
5 ms |
384 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
384 KB |
Output is correct |
27 |
Correct |
4 ms |
384 KB |
Output is correct |
28 |
Correct |
4 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
4 ms |
384 KB |
Output is correct |
31 |
Correct |
4 ms |
384 KB |
Output is correct |
32 |
Correct |
5 ms |
384 KB |
Output is correct |
33 |
Correct |
4 ms |
384 KB |
Output is correct |
34 |
Correct |
5 ms |
384 KB |
Output is correct |
35 |
Correct |
5 ms |
384 KB |
Output is correct |
36 |
Correct |
5 ms |
384 KB |
Output is correct |
37 |
Correct |
4 ms |
384 KB |
Output is correct |
38 |
Correct |
4 ms |
288 KB |
Output is correct |
39 |
Correct |
5 ms |
384 KB |
Output is correct |
40 |
Correct |
5 ms |
384 KB |
Output is correct |
41 |
Correct |
5 ms |
384 KB |
Output is correct |
42 |
Correct |
5 ms |
384 KB |
Output is correct |
43 |
Correct |
5 ms |
384 KB |
Output is correct |
44 |
Correct |
5 ms |
384 KB |
Output is correct |
45 |
Correct |
5 ms |
384 KB |
Output is correct |
46 |
Correct |
5 ms |
384 KB |
Output is correct |
47 |
Correct |
5 ms |
384 KB |
Output is correct |
48 |
Correct |
5 ms |
384 KB |
Output is correct |
49 |
Correct |
5 ms |
384 KB |
Output is correct |
50 |
Correct |
5 ms |
384 KB |
Output is correct |
51 |
Correct |
6 ms |
384 KB |
Output is correct |
52 |
Correct |
5 ms |
384 KB |
Output is correct |
53 |
Correct |
5 ms |
384 KB |
Output is correct |
54 |
Correct |
5 ms |
384 KB |
Output is correct |
55 |
Correct |
5 ms |
384 KB |
Output is correct |
56 |
Correct |
5 ms |
384 KB |
Output is correct |
57 |
Correct |
5 ms |
384 KB |
Output is correct |
58 |
Correct |
5 ms |
384 KB |
Output is correct |
59 |
Correct |
5 ms |
384 KB |
Output is correct |
60 |
Correct |
5 ms |
384 KB |
Output is correct |
61 |
Correct |
5 ms |
384 KB |
Output is correct |
62 |
Correct |
9 ms |
512 KB |
Output is correct |
63 |
Correct |
5 ms |
384 KB |
Output is correct |
64 |
Correct |
19 ms |
384 KB |
Output is correct |
65 |
Correct |
5 ms |
384 KB |
Output is correct |
66 |
Correct |
6 ms |
384 KB |
Output is correct |
67 |
Correct |
9 ms |
384 KB |
Output is correct |
68 |
Correct |
8 ms |
384 KB |
Output is correct |
69 |
Correct |
9 ms |
384 KB |
Output is correct |
70 |
Correct |
8 ms |
384 KB |
Output is correct |
71 |
Correct |
9 ms |
384 KB |
Output is correct |
72 |
Correct |
11 ms |
384 KB |
Output is correct |
73 |
Correct |
11 ms |
384 KB |
Output is correct |
74 |
Correct |
11 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
4 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
4 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
4 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
4 ms |
384 KB |
Output is correct |
14 |
Correct |
4 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
4 ms |
384 KB |
Output is correct |
17 |
Correct |
4 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
4 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
384 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
5 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
5 ms |
384 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
5 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
256 KB |
Output is correct |
30 |
Correct |
5 ms |
384 KB |
Output is correct |
31 |
Correct |
5 ms |
384 KB |
Output is correct |
32 |
Correct |
5 ms |
384 KB |
Output is correct |
33 |
Correct |
5 ms |
384 KB |
Output is correct |
34 |
Correct |
5 ms |
384 KB |
Output is correct |
35 |
Correct |
5 ms |
384 KB |
Output is correct |
36 |
Correct |
5 ms |
384 KB |
Output is correct |
37 |
Correct |
5 ms |
384 KB |
Output is correct |
38 |
Correct |
6 ms |
384 KB |
Output is correct |
39 |
Correct |
5 ms |
384 KB |
Output is correct |
40 |
Correct |
6 ms |
384 KB |
Output is correct |
41 |
Correct |
5 ms |
384 KB |
Output is correct |
42 |
Correct |
5 ms |
384 KB |
Output is correct |
43 |
Correct |
5 ms |
384 KB |
Output is correct |
44 |
Correct |
5 ms |
384 KB |
Output is correct |
45 |
Correct |
5 ms |
384 KB |
Output is correct |
46 |
Correct |
5 ms |
288 KB |
Output is correct |
47 |
Correct |
5 ms |
384 KB |
Output is correct |
48 |
Correct |
5 ms |
384 KB |
Output is correct |
49 |
Correct |
5 ms |
384 KB |
Output is correct |
50 |
Correct |
5 ms |
384 KB |
Output is correct |
51 |
Correct |
5 ms |
384 KB |
Output is correct |
52 |
Correct |
15 ms |
384 KB |
Output is correct |
53 |
Correct |
22 ms |
384 KB |
Output is correct |
54 |
Correct |
38 ms |
384 KB |
Output is correct |
55 |
Correct |
38 ms |
384 KB |
Output is correct |
56 |
Correct |
128 ms |
384 KB |
Output is correct |
57 |
Correct |
120 ms |
504 KB |
Output is correct |
58 |
Correct |
119 ms |
384 KB |
Output is correct |
59 |
Correct |
110 ms |
384 KB |
Output is correct |
60 |
Correct |
128 ms |
504 KB |
Output is correct |
61 |
Correct |
5 ms |
384 KB |
Output is correct |
62 |
Correct |
23 ms |
384 KB |
Output is correct |
63 |
Correct |
39 ms |
384 KB |
Output is correct |
64 |
Correct |
36 ms |
384 KB |
Output is correct |
65 |
Correct |
64 ms |
384 KB |
Output is correct |
66 |
Correct |
91 ms |
504 KB |
Output is correct |
67 |
Correct |
128 ms |
384 KB |
Output is correct |
68 |
Correct |
121 ms |
384 KB |
Output is correct |
69 |
Correct |
122 ms |
384 KB |
Output is correct |