Submission #833640

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
833640	2023-08-22T07:21:19 Z	CSQ31	Chorus (JOI23_chorus)	C++17	40 / 100	54 ms	86748 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[2222][2222],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	0 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	0 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	0 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	0 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	1 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	0 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	0 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	0 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	0 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	1 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	3412 KB	Output is correct
20	Correct	1 ms	2260 KB	Output is correct
21	Correct	1 ms	2260 KB	Output is correct
22	Correct	7 ms	4308 KB	Output is correct
23	Correct	7 ms	4308 KB	Output is correct
24	Correct	1 ms	2388 KB	Output is correct
25	Correct	8 ms	4308 KB	Output is correct
26	Correct	6 ms	3924 KB	Output is correct
27	Correct	3 ms	2900 KB	Output is correct
28	Correct	3 ms	2900 KB	Output is correct

Subtask #3
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	0 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	0 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	0 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	0 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	1 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	3412 KB	Output is correct
20	Correct	1 ms	2260 KB	Output is correct
21	Correct	1 ms	2260 KB	Output is correct
22	Correct	7 ms	4308 KB	Output is correct
23	Correct	7 ms	4308 KB	Output is correct
24	Correct	1 ms	2388 KB	Output is correct
25	Correct	8 ms	4308 KB	Output is correct
26	Correct	6 ms	3924 KB	Output is correct
27	Correct	3 ms	2900 KB	Output is correct
28	Correct	3 ms	2900 KB	Output is correct
29	Runtime error	54 ms	86748 KB	Execution killed with signal 11
30	Halted	0 ms	0 KB	-

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	0 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	0 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	0 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	0 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	1 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	3412 KB	Output is correct
20	Correct	1 ms	2260 KB	Output is correct
21	Correct	1 ms	2260 KB	Output is correct
22	Correct	7 ms	4308 KB	Output is correct
23	Correct	7 ms	4308 KB	Output is correct
24	Correct	1 ms	2388 KB	Output is correct
25	Correct	8 ms	4308 KB	Output is correct
26	Correct	6 ms	3924 KB	Output is correct
27	Correct	3 ms	2900 KB	Output is correct
28	Correct	3 ms	2900 KB	Output is correct
29	Runtime error	54 ms	86748 KB	Execution killed with signal 11
30	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	0 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	0 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	0 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	0 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	1 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	3412 KB	Output is correct
20	Correct	1 ms	2260 KB	Output is correct
21	Correct	1 ms	2260 KB	Output is correct
22	Correct	7 ms	4308 KB	Output is correct
23	Correct	7 ms	4308 KB	Output is correct
24	Correct	1 ms	2388 KB	Output is correct
25	Correct	8 ms	4308 KB	Output is correct
26	Correct	6 ms	3924 KB	Output is correct
27	Correct	3 ms	2900 KB	Output is correct
28	Correct	3 ms	2900 KB	Output is correct
29	Runtime error	54 ms	86748 KB	Execution killed with signal 11
30	Halted	0 ms	0 KB	-

Submission #833640

Compilation message

Subtask #1 16.0 / 16.0

Subtask #2 24.0 / 24.0

Subtask #3 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
0 / 21.0

Subtask #4
0 / 26.0

Subtask #5
0 / 13.0