#include<bits/stdc++.h>
using namespace std;
using ll=long long;
using pii=pair<int,int>;
#define f first
#define s second
const ll inf=1e18;
int a[1000005],b[1000005],pos[1000005],pos2[1000005];
ll dp[2][1000005],qs[1000005];
ll f(int L,int R){
int x=pos2[L];
if(x>R) return 0;
return qs[R]-qs[x-1]-L*(R-x+1);
}
void play2(int n,bool z){
for(int i=1;i<=n;++i){
dp[z][i]=inf;
for(int j=0;j<i;++j){
if(pos2[j+1]>i){
dp[z][i]=min(dp[z][i],dp[!z][j]);
break;
}
dp[z][i]=min(dp[z][i],-j*i+dp[!z][j]-qs[pos2[j+1]-1]+1LL*pos2[j+1]*(j+1)-j+qs[i]-i-1);
}
}
}
void play(int l,int r,int optl,int optr,int z){
if(l>r) return;
int mid=l+r>>1;
pair<ll,int> best(inf,0);
for(int i=optl;i<=min(mid,optr);++i){
best=min(best,{dp[!z][i-1]+f(i,mid),i});
}
dp[z][mid]=best.f;
play(l,mid-1,optl,best.s,z);
play(mid+1,r,best.s,optr,z);
}
int main(){
ios::sync_with_stdio(false); cin.tie(0);
int n,K; cin>>n>>K;
string s; cin>>s;
for(int i=0,ia=0,ib=0;i<s.length();++i){
if(s[i]=='A') a[++ia]=i;
else b[++ib]=i;
}
for(int i=1,j=1;i<=n;++i){
while(j<=n&&b[j]<a[i]) ++j;
pos[i]=j;
qs[i]=qs[i-1]+j;
}
for(int i=1,j=1;i<=n;++i){
while(j<=n&&pos[j]<=i) ++j;
j=max(i,j);
pos2[i]=j;
}
for(int i=1;i<=n;++i) dp[1][i]=qs[i]-i;
for(int k=2;k<=K;++k){
// play(1,n,1,n,k&1);
play2(n,k&1);
}
cout<<dp[K&1][n]<<endl;
return 0;
}
Compilation message
chorus.cpp: In function 'void play(int, int, int, int, int)':
chorus.cpp:34:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
34 | int mid=l+r>>1;
| ~^~
chorus.cpp: In function 'int main()':
chorus.cpp:49:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
49 | for(int i=0,ia=0,ib=0;i<s.length();++i){
| ~^~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
12632 KB |
Output is correct |
2 |
Correct |
2 ms |
12636 KB |
Output is correct |
3 |
Correct |
1 ms |
10588 KB |
Output is correct |
4 |
Correct |
2 ms |
12636 KB |
Output is correct |
5 |
Correct |
1 ms |
10588 KB |
Output is correct |
6 |
Correct |
2 ms |
12632 KB |
Output is correct |
7 |
Correct |
2 ms |
12636 KB |
Output is correct |
8 |
Correct |
2 ms |
12632 KB |
Output is correct |
9 |
Correct |
1 ms |
10588 KB |
Output is correct |
10 |
Correct |
2 ms |
12636 KB |
Output is correct |
11 |
Correct |
2 ms |
12636 KB |
Output is correct |
12 |
Correct |
2 ms |
12636 KB |
Output is correct |
13 |
Correct |
2 ms |
12636 KB |
Output is correct |
14 |
Correct |
2 ms |
12636 KB |
Output is correct |
15 |
Correct |
2 ms |
12636 KB |
Output is correct |
16 |
Correct |
2 ms |
12636 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
12632 KB |
Output is correct |
2 |
Correct |
2 ms |
12636 KB |
Output is correct |
3 |
Correct |
1 ms |
10588 KB |
Output is correct |
4 |
Correct |
2 ms |
12636 KB |
Output is correct |
5 |
Correct |
1 ms |
10588 KB |
Output is correct |
6 |
Correct |
2 ms |
12632 KB |
Output is correct |
7 |
Correct |
2 ms |
12636 KB |
Output is correct |
8 |
Correct |
2 ms |
12632 KB |
Output is correct |
9 |
Correct |
1 ms |
10588 KB |
Output is correct |
10 |
Correct |
2 ms |
12636 KB |
Output is correct |
11 |
Correct |
2 ms |
12636 KB |
Output is correct |
12 |
Correct |
2 ms |
12636 KB |
Output is correct |
13 |
Correct |
2 ms |
12636 KB |
Output is correct |
14 |
Correct |
2 ms |
12636 KB |
Output is correct |
15 |
Correct |
2 ms |
12636 KB |
Output is correct |
16 |
Correct |
2 ms |
12636 KB |
Output is correct |
17 |
Correct |
4 ms |
12636 KB |
Output is correct |
18 |
Correct |
30 ms |
12772 KB |
Output is correct |
19 |
Correct |
83 ms |
12760 KB |
Output is correct |
20 |
Correct |
2 ms |
10588 KB |
Output is correct |
21 |
Correct |
2 ms |
12748 KB |
Output is correct |
22 |
Correct |
158 ms |
12636 KB |
Output is correct |
23 |
Correct |
159 ms |
12632 KB |
Output is correct |
24 |
Correct |
7 ms |
12632 KB |
Output is correct |
25 |
Correct |
157 ms |
12636 KB |
Output is correct |
26 |
Correct |
131 ms |
12636 KB |
Output is correct |
27 |
Correct |
53 ms |
12752 KB |
Output is correct |
28 |
Correct |
53 ms |
12632 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
12632 KB |
Output is correct |
2 |
Correct |
2 ms |
12636 KB |
Output is correct |
3 |
Correct |
1 ms |
10588 KB |
Output is correct |
4 |
Correct |
2 ms |
12636 KB |
Output is correct |
5 |
Correct |
1 ms |
10588 KB |
Output is correct |
6 |
Correct |
2 ms |
12632 KB |
Output is correct |
7 |
Correct |
2 ms |
12636 KB |
Output is correct |
8 |
Correct |
2 ms |
12632 KB |
Output is correct |
9 |
Correct |
1 ms |
10588 KB |
Output is correct |
10 |
Correct |
2 ms |
12636 KB |
Output is correct |
11 |
Correct |
2 ms |
12636 KB |
Output is correct |
12 |
Correct |
2 ms |
12636 KB |
Output is correct |
13 |
Correct |
2 ms |
12636 KB |
Output is correct |
14 |
Correct |
2 ms |
12636 KB |
Output is correct |
15 |
Correct |
2 ms |
12636 KB |
Output is correct |
16 |
Correct |
2 ms |
12636 KB |
Output is correct |
17 |
Correct |
4 ms |
12636 KB |
Output is correct |
18 |
Correct |
30 ms |
12772 KB |
Output is correct |
19 |
Correct |
83 ms |
12760 KB |
Output is correct |
20 |
Correct |
2 ms |
10588 KB |
Output is correct |
21 |
Correct |
2 ms |
12748 KB |
Output is correct |
22 |
Correct |
158 ms |
12636 KB |
Output is correct |
23 |
Correct |
159 ms |
12632 KB |
Output is correct |
24 |
Correct |
7 ms |
12632 KB |
Output is correct |
25 |
Correct |
157 ms |
12636 KB |
Output is correct |
26 |
Correct |
131 ms |
12636 KB |
Output is correct |
27 |
Correct |
53 ms |
12752 KB |
Output is correct |
28 |
Correct |
53 ms |
12632 KB |
Output is correct |
29 |
Execution timed out |
7042 ms |
12632 KB |
Time limit exceeded |
30 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
12632 KB |
Output is correct |
2 |
Correct |
2 ms |
12636 KB |
Output is correct |
3 |
Correct |
1 ms |
10588 KB |
Output is correct |
4 |
Correct |
2 ms |
12636 KB |
Output is correct |
5 |
Correct |
1 ms |
10588 KB |
Output is correct |
6 |
Correct |
2 ms |
12632 KB |
Output is correct |
7 |
Correct |
2 ms |
12636 KB |
Output is correct |
8 |
Correct |
2 ms |
12632 KB |
Output is correct |
9 |
Correct |
1 ms |
10588 KB |
Output is correct |
10 |
Correct |
2 ms |
12636 KB |
Output is correct |
11 |
Correct |
2 ms |
12636 KB |
Output is correct |
12 |
Correct |
2 ms |
12636 KB |
Output is correct |
13 |
Correct |
2 ms |
12636 KB |
Output is correct |
14 |
Correct |
2 ms |
12636 KB |
Output is correct |
15 |
Correct |
2 ms |
12636 KB |
Output is correct |
16 |
Correct |
2 ms |
12636 KB |
Output is correct |
17 |
Correct |
4 ms |
12636 KB |
Output is correct |
18 |
Correct |
30 ms |
12772 KB |
Output is correct |
19 |
Correct |
83 ms |
12760 KB |
Output is correct |
20 |
Correct |
2 ms |
10588 KB |
Output is correct |
21 |
Correct |
2 ms |
12748 KB |
Output is correct |
22 |
Correct |
158 ms |
12636 KB |
Output is correct |
23 |
Correct |
159 ms |
12632 KB |
Output is correct |
24 |
Correct |
7 ms |
12632 KB |
Output is correct |
25 |
Correct |
157 ms |
12636 KB |
Output is correct |
26 |
Correct |
131 ms |
12636 KB |
Output is correct |
27 |
Correct |
53 ms |
12752 KB |
Output is correct |
28 |
Correct |
53 ms |
12632 KB |
Output is correct |
29 |
Execution timed out |
7042 ms |
12632 KB |
Time limit exceeded |
30 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
12632 KB |
Output is correct |
2 |
Correct |
2 ms |
12636 KB |
Output is correct |
3 |
Correct |
1 ms |
10588 KB |
Output is correct |
4 |
Correct |
2 ms |
12636 KB |
Output is correct |
5 |
Correct |
1 ms |
10588 KB |
Output is correct |
6 |
Correct |
2 ms |
12632 KB |
Output is correct |
7 |
Correct |
2 ms |
12636 KB |
Output is correct |
8 |
Correct |
2 ms |
12632 KB |
Output is correct |
9 |
Correct |
1 ms |
10588 KB |
Output is correct |
10 |
Correct |
2 ms |
12636 KB |
Output is correct |
11 |
Correct |
2 ms |
12636 KB |
Output is correct |
12 |
Correct |
2 ms |
12636 KB |
Output is correct |
13 |
Correct |
2 ms |
12636 KB |
Output is correct |
14 |
Correct |
2 ms |
12636 KB |
Output is correct |
15 |
Correct |
2 ms |
12636 KB |
Output is correct |
16 |
Correct |
2 ms |
12636 KB |
Output is correct |
17 |
Correct |
4 ms |
12636 KB |
Output is correct |
18 |
Correct |
30 ms |
12772 KB |
Output is correct |
19 |
Correct |
83 ms |
12760 KB |
Output is correct |
20 |
Correct |
2 ms |
10588 KB |
Output is correct |
21 |
Correct |
2 ms |
12748 KB |
Output is correct |
22 |
Correct |
158 ms |
12636 KB |
Output is correct |
23 |
Correct |
159 ms |
12632 KB |
Output is correct |
24 |
Correct |
7 ms |
12632 KB |
Output is correct |
25 |
Correct |
157 ms |
12636 KB |
Output is correct |
26 |
Correct |
131 ms |
12636 KB |
Output is correct |
27 |
Correct |
53 ms |
12752 KB |
Output is correct |
28 |
Correct |
53 ms |
12632 KB |
Output is correct |
29 |
Execution timed out |
7042 ms |
12632 KB |
Time limit exceeded |
30 |
Halted |
0 ms |
0 KB |
- |