#include <bits/stdc++.h>
using namespace std;
#define v vector
#define ll long long
#define ii pair<int,int>
#define fi first
#define se second
#define on(i,mask) ((bool)((1<<(i)) & (mask)))
int main(){
int N,A,B;
cin>>N>>A>>B;
v<ll> Y(N+1,0);
v<ll> psum(N+1, 0);
ll maxY = 0;
for(int i=1; i<=N; i++){
cin>>Y[i];
maxY = max(maxY, Y[i]);
psum[i] = psum[i-1]+Y[i];
}
if(N<=20){//sub1
ll ans = 1e18;
for(int div = (1<<N); div<(1<<(N+1)); div++){
int g = 1;
int l=0;
ll res = 0;
for(int i=1; i<=N; i++){
if(i!=1 && on(i-2,div)!=on(i-1,div)){
g++;
res = res | (psum[i-1] - psum[l]);
l=i-1;
}
}
res = res | (psum[N]-psum[l]);
if(A<=g && g<=B) ans = min(ans, res);
}
cout<<ans<<endl;
}
else if(N<=50 && B<=20 && maxY<=10){//sub2
v<v<v<bool>>> dp(B+1, v<v<bool>>(N+1, v<bool>(maxY*N+1, false)));
dp[0][0][0] = true;
for(int b=0; b<B; b++){
for(int n=0; n<=N; n++){
for(int o=0;o<=maxY*N;o++){
if(dp[b][n][o]){//can cover first n in b groups with or sum o
for(int i=n+1; i<=N; i++){
dp[b+1][i][o | (psum[i]-psum[n])] = true;
}
}
}
}
}
int ans = maxY*N;
for(int b=A; b<=B; b++){
for(int o=0; o<=ans; o++){
if(dp[b][N][o]){
ans=o;
break;
}
}
}
cout<<ans<<endl;
}
else if(N<=100 && A==1 && maxY<=20){//sub3
v<v<int>> dp(N+1, v<int>(maxY*N+1, 1e9));
dp[0][0] = 0;
for(int n=0; n<=N; n++){
for(int o=0;o<=maxY*N;o++){
if(dp[n][o] !=1e9){//min groups to cover first n with or sum o
for(int i=n+1; i<=N; i++){
dp[i][o | (psum[i]-psum[n])] = min(dp[i][o | (psum[i]-psum[n])], dp[n][o]+1);
}
}
}
}
int ans = maxY*N;
for(int o=0; o<=ans; o++){
if(dp[N][o]<=B){
ans=o;
break;
}
}
cout<<ans<<endl;
}
else if(N<=100){//sub4
ll is0 = 0;
for(int bit=40; bit>=0; bit--){
v<v<bool>> dp(B+1, v<bool>(N+1, false));
ll test = is0 | (1ll<<bit);
dp[0][0] = true;
for(int b=0; b<B; b++){
for(int n=0; n<=N; n++){
if(dp[b][n]){//can cover first n in b groups while keeping all on bits in is0 zero.
for(int i=n+1; i<=N; i++){
ll s = psum[i] - psum[n];
if((s & test) == 0) dp[b+1][i] = true;
}
}
}
}
for(int b=A; b<=B; b++){
if(dp[b][N]){
is0 |= (1ll<<bit);
break;
}
}
}
cout<<((1ll<<41) - is0 - 1)<<endl;
}
else if(N<=2000 && A==1){//sub 5
ll is0 = 0;
for(int bit=60; bit>=0; bit--){
v<int> dp(N+1, 1e9);
ll test = is0 | (1ll<<bit);
dp[0] = 0;
for(int n=0; n<=N; n++){
if(dp[n] != 1e9){//min groups to cover first n while keeping all on bits in is0 zero.
for(int i=n+1; i<=N; i++){
ll s = psum[i] - psum[n];
if((s & test) == 0) dp[i] = min(dp[i], dp[n]+1);
}
}
}
if(dp[N]<=B){
is0 |= (1ll<<bit);
}
}
cout<<((1ll<<61) - is0 - 1)<<endl;
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
2 ms |
348 KB |
Output is correct |
7 |
Correct |
8 ms |
432 KB |
Output is correct |
8 |
Correct |
71 ms |
412 KB |
Output is correct |
9 |
Correct |
71 ms |
348 KB |
Output is correct |
10 |
Correct |
71 ms |
348 KB |
Output is correct |
11 |
Correct |
73 ms |
348 KB |
Output is correct |
12 |
Correct |
74 ms |
404 KB |
Output is correct |
13 |
Correct |
73 ms |
600 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
2 ms |
348 KB |
Output is correct |
20 |
Correct |
9 ms |
348 KB |
Output is correct |
21 |
Correct |
67 ms |
348 KB |
Output is correct |
22 |
Correct |
66 ms |
348 KB |
Output is correct |
23 |
Correct |
66 ms |
344 KB |
Output is correct |
24 |
Correct |
71 ms |
344 KB |
Output is correct |
25 |
Correct |
67 ms |
348 KB |
Output is correct |
26 |
Correct |
67 ms |
344 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
35 ms |
404 KB |
Output is correct |
31 |
Correct |
69 ms |
348 KB |
Output is correct |
32 |
Correct |
70 ms |
344 KB |
Output is correct |
33 |
Correct |
68 ms |
344 KB |
Output is correct |
34 |
Correct |
70 ms |
408 KB |
Output is correct |
35 |
Correct |
71 ms |
348 KB |
Output is correct |
36 |
Correct |
70 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
2 ms |
344 KB |
Output is correct |
7 |
Correct |
9 ms |
348 KB |
Output is correct |
8 |
Correct |
72 ms |
408 KB |
Output is correct |
9 |
Correct |
71 ms |
412 KB |
Output is correct |
10 |
Correct |
72 ms |
600 KB |
Output is correct |
11 |
Correct |
78 ms |
344 KB |
Output is correct |
12 |
Correct |
79 ms |
348 KB |
Output is correct |
13 |
Correct |
72 ms |
408 KB |
Output is correct |
14 |
Correct |
0 ms |
344 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
2 ms |
348 KB |
Output is correct |
20 |
Correct |
9 ms |
344 KB |
Output is correct |
21 |
Correct |
73 ms |
412 KB |
Output is correct |
22 |
Correct |
67 ms |
408 KB |
Output is correct |
23 |
Correct |
67 ms |
344 KB |
Output is correct |
24 |
Correct |
71 ms |
344 KB |
Output is correct |
25 |
Correct |
67 ms |
348 KB |
Output is correct |
26 |
Correct |
75 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
416 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
2 ms |
348 KB |
Output is correct |
7 |
Correct |
8 ms |
436 KB |
Output is correct |
8 |
Correct |
74 ms |
424 KB |
Output is correct |
9 |
Correct |
71 ms |
348 KB |
Output is correct |
10 |
Correct |
71 ms |
344 KB |
Output is correct |
11 |
Correct |
71 ms |
348 KB |
Output is correct |
12 |
Correct |
71 ms |
344 KB |
Output is correct |
13 |
Correct |
71 ms |
408 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
600 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
2 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
604 KB |
Output is correct |
25 |
Correct |
1 ms |
604 KB |
Output is correct |
26 |
Correct |
1 ms |
860 KB |
Output is correct |
27 |
Correct |
1 ms |
860 KB |
Output is correct |
28 |
Correct |
1 ms |
1116 KB |
Output is correct |
29 |
Correct |
1 ms |
1116 KB |
Output is correct |
30 |
Correct |
1 ms |
1116 KB |
Output is correct |
31 |
Correct |
1 ms |
1152 KB |
Output is correct |
32 |
Correct |
1 ms |
1116 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
2 ms |
348 KB |
Output is correct |
7 |
Correct |
9 ms |
344 KB |
Output is correct |
8 |
Correct |
71 ms |
348 KB |
Output is correct |
9 |
Correct |
79 ms |
348 KB |
Output is correct |
10 |
Correct |
73 ms |
348 KB |
Output is correct |
11 |
Correct |
71 ms |
344 KB |
Output is correct |
12 |
Correct |
71 ms |
348 KB |
Output is correct |
13 |
Correct |
71 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
344 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
2 ms |
348 KB |
Output is correct |
20 |
Correct |
8 ms |
348 KB |
Output is correct |
21 |
Correct |
67 ms |
344 KB |
Output is correct |
22 |
Correct |
67 ms |
348 KB |
Output is correct |
23 |
Correct |
66 ms |
348 KB |
Output is correct |
24 |
Correct |
71 ms |
404 KB |
Output is correct |
25 |
Correct |
67 ms |
344 KB |
Output is correct |
26 |
Correct |
67 ms |
344 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
35 ms |
432 KB |
Output is correct |
31 |
Correct |
70 ms |
408 KB |
Output is correct |
32 |
Correct |
71 ms |
344 KB |
Output is correct |
33 |
Correct |
68 ms |
408 KB |
Output is correct |
34 |
Correct |
70 ms |
408 KB |
Output is correct |
35 |
Correct |
71 ms |
344 KB |
Output is correct |
36 |
Correct |
71 ms |
344 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
1 ms |
348 KB |
Output is correct |
42 |
Correct |
1 ms |
348 KB |
Output is correct |
43 |
Correct |
0 ms |
348 KB |
Output is correct |
44 |
Correct |
1 ms |
348 KB |
Output is correct |
45 |
Correct |
1 ms |
348 KB |
Output is correct |
46 |
Correct |
1 ms |
348 KB |
Output is correct |
47 |
Correct |
0 ms |
604 KB |
Output is correct |
48 |
Correct |
1 ms |
604 KB |
Output is correct |
49 |
Correct |
1 ms |
860 KB |
Output is correct |
50 |
Correct |
1 ms |
860 KB |
Output is correct |
51 |
Correct |
1 ms |
1116 KB |
Output is correct |
52 |
Correct |
1 ms |
1116 KB |
Output is correct |
53 |
Correct |
1 ms |
1116 KB |
Output is correct |
54 |
Correct |
1 ms |
1116 KB |
Output is correct |
55 |
Correct |
1 ms |
1116 KB |
Output is correct |
56 |
Correct |
1 ms |
348 KB |
Output is correct |
57 |
Correct |
1 ms |
348 KB |
Output is correct |
58 |
Correct |
2 ms |
348 KB |
Output is correct |
59 |
Correct |
3 ms |
348 KB |
Output is correct |
60 |
Correct |
5 ms |
348 KB |
Output is correct |
61 |
Correct |
0 ms |
348 KB |
Output is correct |
62 |
Correct |
4 ms |
348 KB |
Output is correct |
63 |
Correct |
4 ms |
348 KB |
Output is correct |
64 |
Correct |
7 ms |
348 KB |
Output is correct |
65 |
Correct |
1 ms |
348 KB |
Output is correct |
66 |
Correct |
1 ms |
348 KB |
Output is correct |
67 |
Correct |
1 ms |
348 KB |
Output is correct |
68 |
Correct |
3 ms |
436 KB |
Output is correct |
69 |
Correct |
3 ms |
348 KB |
Output is correct |
70 |
Correct |
3 ms |
348 KB |
Output is correct |
71 |
Correct |
0 ms |
348 KB |
Output is correct |
72 |
Correct |
4 ms |
348 KB |
Output is correct |
73 |
Correct |
4 ms |
348 KB |
Output is correct |
74 |
Correct |
4 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
2 ms |
348 KB |
Output is correct |
7 |
Correct |
8 ms |
348 KB |
Output is correct |
8 |
Correct |
71 ms |
348 KB |
Output is correct |
9 |
Correct |
71 ms |
348 KB |
Output is correct |
10 |
Correct |
73 ms |
348 KB |
Output is correct |
11 |
Correct |
80 ms |
348 KB |
Output is correct |
12 |
Correct |
71 ms |
344 KB |
Output is correct |
13 |
Correct |
71 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
344 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
35 ms |
432 KB |
Output is correct |
18 |
Correct |
67 ms |
348 KB |
Output is correct |
19 |
Correct |
72 ms |
348 KB |
Output is correct |
20 |
Correct |
68 ms |
412 KB |
Output is correct |
21 |
Correct |
70 ms |
344 KB |
Output is correct |
22 |
Correct |
71 ms |
348 KB |
Output is correct |
23 |
Correct |
70 ms |
344 KB |
Output is correct |
24 |
Correct |
0 ms |
344 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
604 KB |
Output is correct |
35 |
Correct |
1 ms |
604 KB |
Output is correct |
36 |
Correct |
1 ms |
860 KB |
Output is correct |
37 |
Correct |
2 ms |
860 KB |
Output is correct |
38 |
Correct |
1 ms |
1236 KB |
Output is correct |
39 |
Correct |
1 ms |
1116 KB |
Output is correct |
40 |
Correct |
1 ms |
1116 KB |
Output is correct |
41 |
Correct |
2 ms |
1116 KB |
Output is correct |
42 |
Correct |
1 ms |
1116 KB |
Output is correct |
43 |
Correct |
1 ms |
344 KB |
Output is correct |
44 |
Correct |
1 ms |
348 KB |
Output is correct |
45 |
Correct |
2 ms |
348 KB |
Output is correct |
46 |
Correct |
3 ms |
348 KB |
Output is correct |
47 |
Correct |
4 ms |
412 KB |
Output is correct |
48 |
Correct |
0 ms |
344 KB |
Output is correct |
49 |
Correct |
4 ms |
440 KB |
Output is correct |
50 |
Correct |
4 ms |
344 KB |
Output is correct |
51 |
Correct |
1 ms |
348 KB |
Output is correct |
52 |
Correct |
6 ms |
456 KB |
Output is correct |
53 |
Correct |
7 ms |
348 KB |
Output is correct |
54 |
Correct |
23 ms |
344 KB |
Output is correct |
55 |
Correct |
17 ms |
344 KB |
Output is correct |
56 |
Correct |
47 ms |
344 KB |
Output is correct |
57 |
Correct |
43 ms |
344 KB |
Output is correct |
58 |
Correct |
53 ms |
344 KB |
Output is correct |
59 |
Correct |
89 ms |
480 KB |
Output is correct |
60 |
Correct |
50 ms |
348 KB |
Output is correct |
61 |
Correct |
1 ms |
348 KB |
Output is correct |
62 |
Correct |
7 ms |
456 KB |
Output is correct |
63 |
Correct |
24 ms |
348 KB |
Output is correct |
64 |
Correct |
11 ms |
460 KB |
Output is correct |
65 |
Correct |
22 ms |
348 KB |
Output is correct |
66 |
Correct |
34 ms |
348 KB |
Output is correct |
67 |
Correct |
45 ms |
348 KB |
Output is correct |
68 |
Correct |
95 ms |
488 KB |
Output is correct |
69 |
Correct |
46 ms |
344 KB |
Output is correct |