답안 #1037772

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1037772	2024-07-29T08:12:37 Z	ㅇㅇ(223.39)(#11011)	Chorus (JOI23_chorus)	C++17	87 / 100	1004 ms	59124 KB

chorus

#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,sse4.1,sse4.2,popcnt,abm,mmx,avx,avx2,fma")
#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
using ll=long long;
using db=double;
using pll=array<ll,2>;
using tll=array<ll,3>;
const ll inf=1e18;
const int N=1000005;
int n,k,a[N],m,f[N];
string s;
ll S[N];
pll dp[N];
ll base,ans;
struct ConvexHullTrick{
	tll L[N];
	int sz,p;
	db cross(tll a,tll b){
		return (db)(b[1]-a[1])/(a[0]-b[0]);
	}
	void add_line(tll l){
		while(sz>=2&&cross(L[sz-1],L[sz])>=cross(L[sz],l)) sz--;
		L[++sz]=l;
		p=min(p,sz);
	}
	pll qry(ll x){
		if(!sz) return {-1,-1};
		while(p<sz&&cross(L[p],L[p+1])<=x) p++;
		return {L[p][0]*x+L[p][1],L[p][2]};
	}
}CHT;
pll Do(ll C){
	dp[0]={0,0};
	deque<int> dq;
	dq.push_back(0);
	CHT.sz=0; CHT.p=1;
	for(int i=1;i<=n;i++){
		dp[i]={inf,inf};
		while(dq.size()&&dq.front()<=f[i]-2) dq.pop_front();
		if(dq.size()) dp[i]={dp[dq.front()][0]+C,dp[dq.front()][1]+1};
		for(int j=max(0,f[i-1]-1);j<=f[i]-2;j++) CHT.add_line({-j,dp[j][0]-(ll)j*(j+1)/2+S[j]+C,dp[j][1]+1});
		pll Q=CHT.qry(i);
		if(Q[1]!=-1) dp[i]=min(dp[i],{Q[0]+(ll)(f[i]-1)*i+(ll)(f[i]-1)*f[i]/2-S[f[i]-1],Q[1]});
		while(dq.size()&&dp[dq.back()]>=dp[i]) dq.pop_back();
		dq.push_back(i);
	}
	return dp[n];
}
int main(){
	ios::sync_with_stdio(false); cin.tie(0);
	cin>>n>>k>>s;
	for(int i=1;i<=2*n;i++) if(s[i-1]=='B') a[++m]=i;
	for(int i=1;i<=n;i++) if(a[i]<2*i){
		base+=2*i-a[i];
		a[i]=2*i;
	}
	for(int i=1;i<=n;i++) S[i]=S[i-1]+a[i];
	f[1]=1;
	for(int i=2;i<=n;i++){
		f[i]=f[i-1];
		while(i+f[i]-a[f[i]]>0) f[i]++;
	}
	ll L=-1e10,R=1e10;
	while(L<=R){
		ll M=(L+R)>>1;
		auto [dp,cnt]=Do(M);
		ans=max(ans,dp-k*M);
		if(cnt<=k) R=M-1;
		else L=M+1;
	}
	cout<<base+ans;
	return 0;
}

Subtask #1
16.0 / 16.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	2392 KB	Output is correct
2	Correct	0 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	0 ms	2396 KB	Output is correct
5	Correct	0 ms	2396 KB	Output is correct
6	Correct	0 ms	2396 KB	Output is correct
7	Correct	0 ms	2396 KB	Output is correct
8	Correct	0 ms	2396 KB	Output is correct
9	Correct	1 ms	2396 KB	Output is correct
10	Correct	0 ms	2396 KB	Output is correct
11	Correct	0 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	0 ms	2396 KB	Output is correct
14	Correct	1 ms	2396 KB	Output is correct
15	Correct	0 ms	2396 KB	Output is correct
16	Correct	1 ms	2396 KB	Output is correct

Subtask #2
24.0 / 24.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	2392 KB	Output is correct
2	Correct	0 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	0 ms	2396 KB	Output is correct
5	Correct	0 ms	2396 KB	Output is correct
6	Correct	0 ms	2396 KB	Output is correct
7	Correct	0 ms	2396 KB	Output is correct
8	Correct	0 ms	2396 KB	Output is correct
9	Correct	1 ms	2396 KB	Output is correct
10	Correct	0 ms	2396 KB	Output is correct
11	Correct	0 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	0 ms	2396 KB	Output is correct
14	Correct	1 ms	2396 KB	Output is correct
15	Correct	0 ms	2396 KB	Output is correct
16	Correct	1 ms	2396 KB	Output is correct
17	Correct	1 ms	2396 KB	Output is correct
18	Correct	1 ms	2396 KB	Output is correct
19	Correct	1 ms	2396 KB	Output is correct
20	Correct	1 ms	2392 KB	Output is correct
21	Correct	1 ms	2396 KB	Output is correct
22	Correct	1 ms	2392 KB	Output is correct
23	Correct	1 ms	2396 KB	Output is correct
24	Correct	1 ms	2392 KB	Output is correct
25	Correct	1 ms	2396 KB	Output is correct
26	Correct	1 ms	2396 KB	Output is correct
27	Correct	1 ms	2396 KB	Output is correct
28	Correct	1 ms	2560 KB	Output is correct

Subtask #3
21.0 / 21.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	2392 KB	Output is correct
2	Correct	0 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	0 ms	2396 KB	Output is correct
5	Correct	0 ms	2396 KB	Output is correct
6	Correct	0 ms	2396 KB	Output is correct
7	Correct	0 ms	2396 KB	Output is correct
8	Correct	0 ms	2396 KB	Output is correct
9	Correct	1 ms	2396 KB	Output is correct
10	Correct	0 ms	2396 KB	Output is correct
11	Correct	0 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	0 ms	2396 KB	Output is correct
14	Correct	1 ms	2396 KB	Output is correct
15	Correct	0 ms	2396 KB	Output is correct
16	Correct	1 ms	2396 KB	Output is correct
17	Correct	1 ms	2396 KB	Output is correct
18	Correct	1 ms	2396 KB	Output is correct
19	Correct	1 ms	2396 KB	Output is correct
20	Correct	1 ms	2392 KB	Output is correct
21	Correct	1 ms	2396 KB	Output is correct
22	Correct	1 ms	2392 KB	Output is correct
23	Correct	1 ms	2396 KB	Output is correct
24	Correct	1 ms	2392 KB	Output is correct
25	Correct	1 ms	2396 KB	Output is correct
26	Correct	1 ms	2396 KB	Output is correct
27	Correct	1 ms	2396 KB	Output is correct
28	Correct	1 ms	2560 KB	Output is correct
29	Correct	6 ms	4700 KB	Output is correct
30	Correct	6 ms	4700 KB	Output is correct
31	Correct	5 ms	4700 KB	Output is correct
32	Correct	5 ms	4852 KB	Output is correct
33	Correct	6 ms	4844 KB	Output is correct
34	Correct	6 ms	4696 KB	Output is correct
35	Correct	5 ms	4840 KB	Output is correct
36	Correct	8 ms	4784 KB	Output is correct
37	Correct	8 ms	4700 KB	Output is correct
38	Correct	6 ms	4700 KB	Output is correct
39	Correct	7 ms	4700 KB	Output is correct
40	Correct	5 ms	4700 KB	Output is correct
41	Correct	5 ms	4700 KB	Output is correct
42	Correct	4 ms	4700 KB	Output is correct

Subtask #4
26.0 / 26.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	2392 KB	Output is correct
2	Correct	0 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	0 ms	2396 KB	Output is correct
5	Correct	0 ms	2396 KB	Output is correct
6	Correct	0 ms	2396 KB	Output is correct
7	Correct	0 ms	2396 KB	Output is correct
8	Correct	0 ms	2396 KB	Output is correct
9	Correct	1 ms	2396 KB	Output is correct
10	Correct	0 ms	2396 KB	Output is correct
11	Correct	0 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	0 ms	2396 KB	Output is correct
14	Correct	1 ms	2396 KB	Output is correct
15	Correct	0 ms	2396 KB	Output is correct
16	Correct	1 ms	2396 KB	Output is correct
17	Correct	1 ms	2396 KB	Output is correct
18	Correct	1 ms	2396 KB	Output is correct
19	Correct	1 ms	2396 KB	Output is correct
20	Correct	1 ms	2392 KB	Output is correct
21	Correct	1 ms	2396 KB	Output is correct
22	Correct	1 ms	2392 KB	Output is correct
23	Correct	1 ms	2396 KB	Output is correct
24	Correct	1 ms	2392 KB	Output is correct
25	Correct	1 ms	2396 KB	Output is correct
26	Correct	1 ms	2396 KB	Output is correct
27	Correct	1 ms	2396 KB	Output is correct
28	Correct	1 ms	2560 KB	Output is correct
29	Correct	6 ms	4700 KB	Output is correct
30	Correct	6 ms	4700 KB	Output is correct
31	Correct	5 ms	4700 KB	Output is correct
32	Correct	5 ms	4852 KB	Output is correct
33	Correct	6 ms	4844 KB	Output is correct
34	Correct	6 ms	4696 KB	Output is correct
35	Correct	5 ms	4840 KB	Output is correct
36	Correct	8 ms	4784 KB	Output is correct
37	Correct	8 ms	4700 KB	Output is correct
38	Correct	6 ms	4700 KB	Output is correct
39	Correct	7 ms	4700 KB	Output is correct
40	Correct	5 ms	4700 KB	Output is correct
41	Correct	5 ms	4700 KB	Output is correct
42	Correct	4 ms	4700 KB	Output is correct
43	Correct	68 ms	8276 KB	Output is correct
44	Correct	150 ms	10984 KB	Output is correct
45	Correct	103 ms	10984 KB	Output is correct
46	Correct	104 ms	13032 KB	Output is correct
47	Correct	92 ms	13032 KB	Output is correct
48	Correct	94 ms	13032 KB	Output is correct
49	Correct	88 ms	13032 KB	Output is correct
50	Correct	166 ms	10984 KB	Output is correct
51	Correct	171 ms	11036 KB	Output is correct
52	Correct	88 ms	13032 KB	Output is correct
53	Correct	95 ms	13028 KB	Output is correct
54	Correct	157 ms	10896 KB	Output is correct

Subtask #5
0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	2392 KB	Output is correct
2	Correct	0 ms	2396 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	0 ms	2396 KB	Output is correct
5	Correct	0 ms	2396 KB	Output is correct
6	Correct	0 ms	2396 KB	Output is correct
7	Correct	0 ms	2396 KB	Output is correct
8	Correct	0 ms	2396 KB	Output is correct
9	Correct	1 ms	2396 KB	Output is correct
10	Correct	0 ms	2396 KB	Output is correct
11	Correct	0 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	0 ms	2396 KB	Output is correct
14	Correct	1 ms	2396 KB	Output is correct
15	Correct	0 ms	2396 KB	Output is correct
16	Correct	1 ms	2396 KB	Output is correct
17	Correct	1 ms	2396 KB	Output is correct
18	Correct	1 ms	2396 KB	Output is correct
19	Correct	1 ms	2396 KB	Output is correct
20	Correct	1 ms	2392 KB	Output is correct
21	Correct	1 ms	2396 KB	Output is correct
22	Correct	1 ms	2392 KB	Output is correct
23	Correct	1 ms	2396 KB	Output is correct
24	Correct	1 ms	2392 KB	Output is correct
25	Correct	1 ms	2396 KB	Output is correct
26	Correct	1 ms	2396 KB	Output is correct
27	Correct	1 ms	2396 KB	Output is correct
28	Correct	1 ms	2560 KB	Output is correct
29	Correct	6 ms	4700 KB	Output is correct
30	Correct	6 ms	4700 KB	Output is correct
31	Correct	5 ms	4700 KB	Output is correct
32	Correct	5 ms	4852 KB	Output is correct
33	Correct	6 ms	4844 KB	Output is correct
34	Correct	6 ms	4696 KB	Output is correct
35	Correct	5 ms	4840 KB	Output is correct
36	Correct	8 ms	4784 KB	Output is correct
37	Correct	8 ms	4700 KB	Output is correct
38	Correct	6 ms	4700 KB	Output is correct
39	Correct	7 ms	4700 KB	Output is correct
40	Correct	5 ms	4700 KB	Output is correct
41	Correct	5 ms	4700 KB	Output is correct
42	Correct	4 ms	4700 KB	Output is correct
43	Correct	68 ms	8276 KB	Output is correct
44	Correct	150 ms	10984 KB	Output is correct
45	Correct	103 ms	10984 KB	Output is correct
46	Correct	104 ms	13032 KB	Output is correct
47	Correct	92 ms	13032 KB	Output is correct
48	Correct	94 ms	13032 KB	Output is correct
49	Correct	88 ms	13032 KB	Output is correct
50	Correct	166 ms	10984 KB	Output is correct
51	Correct	171 ms	11036 KB	Output is correct
52	Correct	88 ms	13032 KB	Output is correct
53	Correct	95 ms	13028 KB	Output is correct
54	Correct	157 ms	10896 KB	Output is correct
55	Correct	681 ms	36040 KB	Output is correct
56	Correct	895 ms	54260 KB	Output is correct
57	Correct	1004 ms	48104 KB	Output is correct
58	Incorrect	987 ms	59124 KB	Output isn't correct
59	Halted	0 ms	0 KB	-

답안 #1037772

Compilation message

Subtask #1 16.0 / 16.0

Subtask #2 24.0 / 24.0

Subtask #3 21.0 / 21.0

Subtask #4 26.0 / 26.0

Subtask #5 0 / 13.0

Subtask #1
16.0 / 16.0

Subtask #2
24.0 / 24.0

Subtask #3
21.0 / 21.0

Subtask #4
26.0 / 26.0

Subtask #5
0 / 13.0