Submission #833642

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
833642	2023-08-22T07:21:57 Z	CSQ31	Chorus (JOI23_chorus)	C++17	61 / 100	1223 ms	407008 KB

chorus

#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define fi first
#define se second
#define sz(a) (int)(a.size())
#define all(a) a.begin(),a.end()
#define lb lower_bound
#define ub upper_bound
#define owo ios_base::sync_with_stdio(0);cin.tie(0);
#define debug(...) fprintf(stderr, __VA_ARGS__),fflush(stderr)
#define time__(d) for(long blockTime = 0; (blockTime == 0 ? (blockTime=clock()) != 0 : false);\
debug("%s time : %.4fs\n", d, (double)(clock() - blockTime) / CLOCKS_PER_SEC))
typedef long long int ll;
typedef long double ld;
typedef pair<ll,ll> PII;
typedef pair<int,int> pii;
typedef vector<vector<int>> vii;
typedef vector<vector<ll>> VII;
ll gcd(ll a,ll b){if(!b)return a;else return gcd(b,a%b);}
const int MAXN = 1e6+5;
int a[MAXN],n,k;
ll dp[5002][5002],p[MAXN];
struct line{
	ll m = 0,c = 0;
	int cnt = 0;
	line(){}
	line(ll _m,ll _c,int _cnt):m(_m),c(_c),cnt(_cnt){}
	ll eval(ll x){return m*x+c;}
};
deque<line>hull;
void add(line t){
	while(sz(hull)>1){
		line a = hull[sz(hull)-2];
		line b = hull[sz(hull)-1];
		//inter(t,a) >=  inter(t,b)
		if((t.c - a.c) * (b.m - t.m) >= (a.m - t.m) * (t.c - b.c))hull.pop_back();
		else break;
	}	
	hull.push_back(t);
}
int num = 0;
ll query(ll x){
	while(sz(hull)>1 && hull[1].eval(x) >= hull[0].eval(x))hull.pop_front();
	num = hull[0].cnt;
	return hull[0].eval(x);
}
int main()
{
	string s;
	cin>>n>>k>>s;
	int cur = 0,nxt = 0;
	for(int i=0;i<2*n;i++){
		if(s[i] == 'A')cur++;
		else a[++nxt] = cur;
	}
	for(int i=1;i<=n;i++)p[i] = p[i-1]+a[i];
	for(int i=0;i<=n;i++){
		for(int j=0;j<=k;j++)dp[i][j] = 1e18;
	} 
	dp[0][0] = 0;
	for(int x=1;x<=k;x++){
		int l = -1;
		hull.clear();
		for(int i=1;i<=n;i++){
			while(l+1<=i && a[l+1] <= i){
				l++;
				add(line(l,-p[l]-dp[l][x-1],0));
			}
			dp[i][x] = l*i - p[l] - query(i);
			
		}
		
	}
	cout<<dp[n][k];
}

Subtask #1
16.0 / 16.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	1 ms	340 KB	Output is correct
7	Correct	0 ms	340 KB	Output is correct
8	Correct	0 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	0 ms	340 KB	Output is correct
14	Correct	1 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	0 ms	340 KB	Output is correct

Subtask #2
24.0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	1 ms	340 KB	Output is correct
7	Correct	0 ms	340 KB	Output is correct
8	Correct	0 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	0 ms	340 KB	Output is correct
14	Correct	1 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	0 ms	340 KB	Output is correct
17	Correct	1 ms	1108 KB	Output is correct
18	Correct	3 ms	2644 KB	Output is correct
19	Correct	5 ms	3440 KB	Output is correct
20	Correct	1 ms	2260 KB	Output is correct
21	Correct	1 ms	2388 KB	Output is correct
22	Correct	7 ms	4332 KB	Output is correct
23	Correct	7 ms	4308 KB	Output is correct
24	Correct	1 ms	2388 KB	Output is correct
25	Correct	7 ms	4308 KB	Output is correct
26	Correct	6 ms	4008 KB	Output is correct
27	Correct	3 ms	2900 KB	Output is correct
28	Correct	3 ms	2900 KB	Output is correct

Subtask #3
21.0 / 21.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	1 ms	340 KB	Output is correct
7	Correct	0 ms	340 KB	Output is correct
8	Correct	0 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	0 ms	340 KB	Output is correct
14	Correct	1 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	0 ms	340 KB	Output is correct
17	Correct	1 ms	1108 KB	Output is correct
18	Correct	3 ms	2644 KB	Output is correct
19	Correct	5 ms	3440 KB	Output is correct
20	Correct	1 ms	2260 KB	Output is correct
21	Correct	1 ms	2388 KB	Output is correct
22	Correct	7 ms	4332 KB	Output is correct
23	Correct	7 ms	4308 KB	Output is correct
24	Correct	1 ms	2388 KB	Output is correct
25	Correct	7 ms	4308 KB	Output is correct
26	Correct	6 ms	4008 KB	Output is correct
27	Correct	3 ms	2900 KB	Output is correct
28	Correct	3 ms	2900 KB	Output is correct
29	Correct	490 ms	99180 KB	Output is correct
30	Correct	892 ms	190056 KB	Output is correct
31	Correct	231 ms	60988 KB	Output is correct
32	Correct	8 ms	20692 KB	Output is correct
33	Correct	9 ms	20820 KB	Output is correct
34	Correct	1200 ms	196300 KB	Output is correct
35	Correct	1223 ms	196256 KB	Output is correct
36	Correct	11 ms	21204 KB	Output is correct
37	Correct	276 ms	59872 KB	Output is correct
38	Correct	995 ms	182552 KB	Output is correct
39	Correct	607 ms	113716 KB	Output is correct
40	Correct	357 ms	85852 KB	Output is correct
41	Correct	377 ms	85904 KB	Output is correct
42	Correct	386 ms	85792 KB	Output is correct

Subtask #4
0 / 26.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	1 ms	340 KB	Output is correct
7	Correct	0 ms	340 KB	Output is correct
8	Correct	0 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	0 ms	340 KB	Output is correct
14	Correct	1 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	0 ms	340 KB	Output is correct
17	Correct	1 ms	1108 KB	Output is correct
18	Correct	3 ms	2644 KB	Output is correct
19	Correct	5 ms	3440 KB	Output is correct
20	Correct	1 ms	2260 KB	Output is correct
21	Correct	1 ms	2388 KB	Output is correct
22	Correct	7 ms	4332 KB	Output is correct
23	Correct	7 ms	4308 KB	Output is correct
24	Correct	1 ms	2388 KB	Output is correct
25	Correct	7 ms	4308 KB	Output is correct
26	Correct	6 ms	4008 KB	Output is correct
27	Correct	3 ms	2900 KB	Output is correct
28	Correct	3 ms	2900 KB	Output is correct
29	Correct	490 ms	99180 KB	Output is correct
30	Correct	892 ms	190056 KB	Output is correct
31	Correct	231 ms	60988 KB	Output is correct
32	Correct	8 ms	20692 KB	Output is correct
33	Correct	9 ms	20820 KB	Output is correct
34	Correct	1200 ms	196300 KB	Output is correct
35	Correct	1223 ms	196256 KB	Output is correct
36	Correct	11 ms	21204 KB	Output is correct
37	Correct	276 ms	59872 KB	Output is correct
38	Correct	995 ms	182552 KB	Output is correct
39	Correct	607 ms	113716 KB	Output is correct
40	Correct	357 ms	85852 KB	Output is correct
41	Correct	377 ms	85904 KB	Output is correct
42	Correct	386 ms	85792 KB	Output is correct
43	Runtime error	332 ms	407008 KB	Execution killed with signal 11
44	Halted	0 ms	0 KB	-

Subtask #5
0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	1 ms	340 KB	Output is correct
7	Correct	0 ms	340 KB	Output is correct
8	Correct	0 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	0 ms	340 KB	Output is correct
14	Correct	1 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	0 ms	340 KB	Output is correct
17	Correct	1 ms	1108 KB	Output is correct
18	Correct	3 ms	2644 KB	Output is correct
19	Correct	5 ms	3440 KB	Output is correct
20	Correct	1 ms	2260 KB	Output is correct
21	Correct	1 ms	2388 KB	Output is correct
22	Correct	7 ms	4332 KB	Output is correct
23	Correct	7 ms	4308 KB	Output is correct
24	Correct	1 ms	2388 KB	Output is correct
25	Correct	7 ms	4308 KB	Output is correct
26	Correct	6 ms	4008 KB	Output is correct
27	Correct	3 ms	2900 KB	Output is correct
28	Correct	3 ms	2900 KB	Output is correct
29	Correct	490 ms	99180 KB	Output is correct
30	Correct	892 ms	190056 KB	Output is correct
31	Correct	231 ms	60988 KB	Output is correct
32	Correct	8 ms	20692 KB	Output is correct
33	Correct	9 ms	20820 KB	Output is correct
34	Correct	1200 ms	196300 KB	Output is correct
35	Correct	1223 ms	196256 KB	Output is correct
36	Correct	11 ms	21204 KB	Output is correct
37	Correct	276 ms	59872 KB	Output is correct
38	Correct	995 ms	182552 KB	Output is correct
39	Correct	607 ms	113716 KB	Output is correct
40	Correct	357 ms	85852 KB	Output is correct
41	Correct	377 ms	85904 KB	Output is correct
42	Correct	386 ms	85792 KB	Output is correct
43	Runtime error	332 ms	407008 KB	Execution killed with signal 11
44	Halted	0 ms	0 KB	-

Submission #833642

Compilation message

Subtask #1 16.0 / 16.0

Subtask #2 24.0 / 24.0

Subtask #3 21.0 / 21.0

Subtask #4 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
0 / 26.0

Subtask #5
0 / 13.0