oj.uz

Submission #855340

# Submission time Handle Problem Language Result Execution time Memory
855340 2023-10-01T06:12:57 Z willychan Chorus (JOI23_chorus) C++14
100 / 100
 3651 ms 36668 KB 
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include<bits/extc++.h>
//__gnu_pbds
const int N = 1e6+5;
pair<ll,ll> dp[N];
int Bpa[N];
ll Bpasum[N];
int Bpaj[N];
int n,K;

ll cost(int i,int j){
	int r = min(Bpaj[j],j);
	int l = i+1;
	if(r<l) return 0;
	return (1LL*j*(r-l+1))-(Bpasum[r]-Bpasum[l-1]);
}

struct seg{
	int pos;int l;int r;
	seg(int _pos,int _l,int _r):pos(_pos),l(_l),r(_r){}
};

bool ok(ll v){
	for(int i=0;i<=n;i++) dp[i] = {1e18,0};
	dp[0]={0,0};
	dp[n+1] = {1e15,0};
	deque<seg> dq;
	dq.push_back(seg(0,1,n));
	for(int i=1;i<=n;i++){
		while(dq.size()){
			if(dq[0].r<i) dq.pop_front();
			else break;
		}
		dp[i] = {dp[dq[0].pos].first+cost(dq[0].pos,i)+v,dp[dq[0].pos].second+1};
		while(dq.size()){
			if(dp[dq.back().pos].first+cost(dq.back().pos,dq.back().l)>dp[i].first+cost(i,dq.back().l)) dq.pop_back();
			else break;
		}
		if(dq.empty()) dq.push_back(seg(i,i+1,n));
		else{
			seg pseg = dq.back();
			dq.pop_back();
			ll l = pseg.l;ll r = pseg.r+1;
			while(r-l>1){
				ll mid = (l+r)/2;
				if(dp[pseg.pos].first+cost(pseg.pos,mid)>dp[i].first+cost(i,mid)) r=mid;
				else l = mid;
			}
			dq.push_back(seg(pseg.pos,pseg.l,l));
			if(l!=n) dq.push_back(seg(i,l+1,n));
		}
	}
	return (dp[n].second<=K);
}
 
signed main(){
	ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
	cin>>n>>K;			
	string s;cin>>s;
	int pa = 0;
	int pb = 0;
	for(int i=1;i<=2*n;i++){
		if(s[i-1]=='A') Bpaj[pa++]=pb;
		if(s[i-1]=='B') Bpa[++pb]=pa;
	}
	for(int i=pa;i<=n;i++) Bpaj[i]=n;
	for(int i=1;i<=n;i++){
		Bpasum[i] = Bpasum[i-1]+Bpa[i];
	}
	ll l = -1;ll r = 1LL*n*n+2;
	while(r-l>1){
		ll mid = l+((r-l)/2);
		if(ok(mid)) r = mid;
		else l = mid;
	}
	ok(r);
	//cout<<r<<"\n";
	cout<<dp[n].first-(1LL*r*K)<<"\n";
 
	return 0;
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4696 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4440 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4696 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4440 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 8 ms 4444 KB Output is correct
30 Correct 9 ms 4444 KB Output is correct
31 Correct 9 ms 4664 KB Output is correct
32 Correct 8 ms 4664 KB Output is correct
33 Correct 7 ms 4444 KB Output is correct
34 Correct 8 ms 4444 KB Output is correct
35 Correct 9 ms 4440 KB Output is correct
36 Correct 9 ms 4444 KB Output is correct
37 Correct 9 ms 4664 KB Output is correct
38 Correct 9 ms 4440 KB Output is correct
39 Correct 8 ms 4640 KB Output is correct
40 Correct 7 ms 4444 KB Output is correct
41 Correct 6 ms 4444 KB Output is correct
42 Correct 7 ms 4444 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4696 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4440 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 8 ms 4444 KB Output is correct
30 Correct 9 ms 4444 KB Output is correct
31 Correct 9 ms 4664 KB Output is correct
32 Correct 8 ms 4664 KB Output is correct
33 Correct 7 ms 4444 KB Output is correct
34 Correct 8 ms 4444 KB Output is correct
35 Correct 9 ms 4440 KB Output is correct
36 Correct 9 ms 4444 KB Output is correct
37 Correct 9 ms 4664 KB Output is correct
38 Correct 9 ms 4440 KB Output is correct
39 Correct 8 ms 4640 KB Output is correct
40 Correct 7 ms 4444 KB Output is correct
41 Correct 6 ms 4444 KB Output is correct
42 Correct 7 ms 4444 KB Output is correct
43 Correct 150 ms 11496 KB Output is correct
44 Correct 260 ms 11620 KB Output is correct
45 Correct 246 ms 11640 KB Output is correct
46 Correct 270 ms 11496 KB Output is correct
47 Correct 170 ms 11700 KB Output is correct
48 Correct 244 ms 11704 KB Output is correct
49 Correct 254 ms 11892 KB Output is correct
50 Correct 236 ms 11644 KB Output is correct
51 Correct 246 ms 11640 KB Output is correct
52 Correct 245 ms 11704 KB Output is correct
53 Correct 260 ms 11708 KB Output is correct
54 Correct 245 ms 11496 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4696 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4440 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 8 ms 4444 KB Output is correct
30 Correct 9 ms 4444 KB Output is correct
31 Correct 9 ms 4664 KB Output is correct
32 Correct 8 ms 4664 KB Output is correct
33 Correct 7 ms 4444 KB Output is correct
34 Correct 8 ms 4444 KB Output is correct
35 Correct 9 ms 4440 KB Output is correct
36 Correct 9 ms 4444 KB Output is correct
37 Correct 9 ms 4664 KB Output is correct
38 Correct 9 ms 4440 KB Output is correct
39 Correct 8 ms 4640 KB Output is correct
40 Correct 7 ms 4444 KB Output is correct
41 Correct 6 ms 4444 KB Output is correct
42 Correct 7 ms 4444 KB Output is correct
43 Correct 150 ms 11496 KB Output is correct
44 Correct 260 ms 11620 KB Output is correct
45 Correct 246 ms 11640 KB Output is correct
46 Correct 270 ms 11496 KB Output is correct
47 Correct 170 ms 11700 KB Output is correct
48 Correct 244 ms 11704 KB Output is correct
49 Correct 254 ms 11892 KB Output is correct
50 Correct 236 ms 11644 KB Output is correct
51 Correct 246 ms 11640 KB Output is correct
52 Correct 245 ms 11704 KB Output is correct
53 Correct 260 ms 11708 KB Output is correct
54 Correct 245 ms 11496 KB Output is correct
55 Correct 1953 ms 29964 KB Output is correct
56 Correct 3336 ms 36336 KB Output is correct
57 Correct 3225 ms 36000 KB Output is correct
58 Correct 3475 ms 34044 KB Output is correct
59 Correct 2383 ms 36668 KB Output is correct
60 Correct 3523 ms 36664 KB Output is correct
61 Correct 3442 ms 36664 KB Output is correct
62 Correct 3204 ms 35888 KB Output is correct
63 Correct 3157 ms 35828 KB Output is correct
64 Correct 3651 ms 36592 KB Output is correct
65 Correct 3581 ms 36592 KB Output is correct
66 Correct 3219 ms 35900 KB Output is correct
67 Correct 3517 ms 36596 KB Output is correct