oj.uz

답안 #835194

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
835194 2023-08-23T10:08:59 Z Antekb Chorus (JOI23_chorus) C++17
87 / 100
 3381 ms 103780 KB 
#include<bits/stdc++.h>
#define st first
#define nd second
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define eb emplace_back
#define pp pop_back
#define mp make_pair
using namespace std;
using pii = pair<int, int>;
using ll = long long;
using vi = vector<int>;
using vii = vector<pii>;
using ld = long double;
void debug(){cerr<<"\n";}
template<typename H, typename... T>
void debug(H h, T... t){
	cerr<<h;
	if(sizeof...(t)){
		cerr<<", ";
	}
	debug(t...);
}
#define deb(x...) cerr<<#x<<" = ";debug(x);

mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
const int N=1<<20;
ld dp[N], ile[N];
int main(){
	int n, k;
	string s;
	cin>>n>>k>>s;
	ll res=0;
	vi V(n+1), pocz(n+1);
	vector<ll> sum={0};
	int a=0, b=1;
	for(char c:s){
		if(c=='A'){
			a++;
			pocz[a]=min(b, a)-1;
		}
		else{
			res+=max(0, b-a);
			V[b]=max(a, b);
			sum.pb(V[b]+sum.back());
			b++;
		}
	}
	deb(res);
	for(int i=1; i<=n; i++){
		//deb(i, V[i], pocz[i], sum[i]);
	}
	/*vector<vector<ll> > dp2(n+1, vector<ll>(k+1, 1e18));
	dp2[0][0]=0;
	for(int kk=1; kk<=k; kk++){
		for(int i=kk; i<=n; i++){
			ll c=0;
			for(int j=i-1; j>=0; j--){
				c+=max(0, i-V[j+1]);
				dp2[i][kk]=min(dp2[i][kk], dp2[j][kk-1]+c);
			}
		}
	}
	for(int kk=1; kk<=k; kk++){
		cout<<dp2[n][kk]<<" ";
	}*/
	ld l=-2e12, r=2e12;
	pair<int, ll> L,R;
	for(int ii=0; ii<60; ii++){
		ld m=(l+r)/2;
		dp[0]=0;
		ile[0]=0;
		deque<pair<ld, int> > V2;
		deque<int> tim;
		V2.eb(dp[0], 0);
		deb(m);
		for(int i=1; i<=n; i++){
			for(int j=pocz[i-1]+1; j<=pocz[i]; j++){
				ld A=dp[j]+sum[j];
				int B=-j;
				//deb(A, B);
				while(V2.size() && A<=V2.back().st){
					V2.pp();
					if(tim.size())tim.pp();
				}
				if(V2.empty()){
					V2.eb(A, B);
					continue;
				}
				ll t=ceil((A-V2.back().st)/(V2.back().nd-B))+1e-9;
				//deb(t);
				while(V2.size()>=2){
					if(t<=tim.back()){
						V2.pp();
						tim.pp();
						t=ceil((A-V2.back().st)/(V2.back().nd-B))+1e-9;
					}
					else break;
				}
				//if(t<=n){
				V2.eb(A,B);
				tim.pb(min(t, ll(n+1)));
				//}
			}
			while(tim.size() && tim.front()<=i){
				tim.pop_front();
				V2.pop_front();
			}
			dp[i]=V2.front().st+i*1ll*V2.front().nd+pocz[i]*1ll*i-sum[pocz[i]];
			ile[i]=ile[-V2.front().nd]+1;
			if(dp[i]>dp[i-1]){
				dp[i]=dp[i-1];
				ile[i]=ile[i-1]+1;
			}
			if(dp[i]>dp[pocz[i]]){
				dp[i]=dp[pocz[i]];
				ile[i]=ile[pocz[i]]+1;
			}
			dp[i]+=m;
			//deb(i, dp[i]);
		}
		/*int opt=0;
		//deb(m);
		for(int i=1; i<=n; i++){
			ll c=0;
			//dp[i]=1e18;
			//deb(i);
			if(i>1 && opt==0)opt++;
			ll c2=0;
			if(pocz[i]>opt)c2=(pocz[i]-opt)*1ll*i-sum[pocz[i]]+sum[opt];
			//dp[opt]+sum[opt]-opt*i dla opt<=pocz[i]
			//czyli jesli opt<opt2 i f(opt)>f(opt2) to zawsze pozniej bedzie
			//wiec i bedzie lepsze od i-1 od pewnego momentu
			//mozemy wrzucic wszystko na vector
			/*while(opt<i-1){
				ll c3=0;
				if(pocz[i]>opt+1)c3=(pocz[i]-opt-1)*1ll*i-sum[pocz[i]]+sum[opt+1];
				if(dp[opt]+c2>=dp[opt+1]+c3){
					opt++;
					c2=c3;
				}
				else break;
			}*/
			/*
			//if(dp[i]>dp[opt]+c2+m){
				dp[i]=dp[opt]+c2+m;
				ile[i]=ile[opt]+1;
			//}
			c2=0;
			if(pocz[i]>0)c2=pocz[i]*1ll*i-sum[pocz[i]];
			if(dp[i]>dp[0]+c2+m){
				dp[i]=dp[0]+c2+m;
				ile[i]=ile[0]+1;
			}
			deb(i, opt, dp[i], pocz[i]);
			for(int j=i-1; j>=0; j--){
				c+=max(0, i-V[j+1]);
				c2=0;
				if(pocz[i]>j)c2=(pocz[i]-j)*1ll*i-sum[pocz[i]]+sum[j];
				deb(i, j, dp[i], dp[j]+c+m);
				assert(c==c2);
				//deb(j, dp[j], dp[j]+c+m);
			}
			c=0;
			ld x=1e18;
			for(int j=i-1; j>=0; j--){
				c+=max(0, i-V[j+1]);
				c2=0;
				if(pocz[i]>j)c2=(pocz[i]-j)*1ll*i-sum[pocz[i]]+sum[j];
				//deb(i, j, dp[i], dp[j]+c+m);
				assert(c==c2);
				//deb(j, dp[j], dp[j]+c+m);
				if(x>dp[j]+c+m){
					x=dp[j]+c+m;
					//ile[i]=ile[j]+1;
				}
			}
			assert(x==dp[i]);
		}*/
		if(ile[n]>k){
			l=m;
			R=mp(ile[n], ll(dp[n]-k*m+0.5));
		}
		else if(ile[n]<k){
			r=m;
			L=mp(ile[n], ll(dp[n]-k*m+0.5));
		}
		else{
			cout<<res+ll(dp[n]-k*m+0.5);
			return 0;
		}
	}
	assert((R.nd*(k-L.st)+L.nd*(R.st-k))%(R.st-L.st)==0);
	ll ans=(R.nd*(k-L.st)+L.nd*(R.st-k))/(R.st-L.st);
	cout<<ans+res;
	//assert(false);
}

Compilation message

chorus.cpp:135:4: warning: "/*" within comment [-Wcomment]
  135 |    /*while(opt<i-1){
      |

Subtask #1
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct

Subtask #2
24.0 / 24.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 0 ms 340 KB Output is correct
26 Correct 2 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct

Subtask #3
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 0 ms 340 KB Output is correct
26 Correct 2 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 13 ms 596 KB Output is correct
30 Correct 16 ms 596 KB Output is correct
31 Correct 16 ms 596 KB Output is correct
32 Correct 1 ms 596 KB Output is correct
33 Correct 4 ms 596 KB Output is correct
34 Correct 13 ms 596 KB Output is correct
35 Correct 1 ms 596 KB Output is correct
36 Correct 7 ms 720 KB Output is correct
37 Correct 20 ms 664 KB Output is correct
38 Correct 13 ms 596 KB Output is correct
39 Correct 16 ms 596 KB Output is correct
40 Correct 10 ms 596 KB Output is correct
41 Correct 10 ms 596 KB Output is correct
42 Correct 8 ms 596 KB Output is correct

Subtask #4
26.0 / 26.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 0 ms 340 KB Output is correct
26 Correct 2 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 13 ms 596 KB Output is correct
30 Correct 16 ms 596 KB Output is correct
31 Correct 16 ms 596 KB Output is correct
32 Correct 1 ms 596 KB Output is correct
33 Correct 4 ms 596 KB Output is correct
34 Correct 13 ms 596 KB Output is correct
35 Correct 1 ms 596 KB Output is correct
36 Correct 7 ms 720 KB Output is correct
37 Correct 20 ms 664 KB Output is correct
38 Correct 13 ms 596 KB Output is correct
39 Correct 16 ms 596 KB Output is correct
40 Correct 10 ms 596 KB Output is correct
41 Correct 10 ms 596 KB Output is correct
42 Correct 8 ms 596 KB Output is correct
43 Correct 187 ms 3404 KB Output is correct
44 Correct 369 ms 7064 KB Output is correct
45 Correct 322 ms 5336 KB Output is correct
46 Correct 15 ms 7000 KB Output is correct
47 Correct 50 ms 7080 KB Output is correct
48 Correct 250 ms 7064 KB Output is correct
49 Correct 9 ms 5336 KB Output is correct
50 Correct 104 ms 7056 KB Output is correct
51 Correct 252 ms 7092 KB Output is correct
52 Correct 9 ms 5356 KB Output is correct
53 Correct 247 ms 7220 KB Output is correct
54 Correct 417 ms 7076 KB Output is correct

Subtask #5
0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 0 ms 340 KB Output is correct
26 Correct 2 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 13 ms 596 KB Output is correct
30 Correct 16 ms 596 KB Output is correct
31 Correct 16 ms 596 KB Output is correct
32 Correct 1 ms 596 KB Output is correct
33 Correct 4 ms 596 KB Output is correct
34 Correct 13 ms 596 KB Output is correct
35 Correct 1 ms 596 KB Output is correct
36 Correct 7 ms 720 KB Output is correct
37 Correct 20 ms 664 KB Output is correct
38 Correct 13 ms 596 KB Output is correct
39 Correct 16 ms 596 KB Output is correct
40 Correct 10 ms 596 KB Output is correct
41 Correct 10 ms 596 KB Output is correct
42 Correct 8 ms 596 KB Output is correct
43 Correct 187 ms 3404 KB Output is correct
44 Correct 369 ms 7064 KB Output is correct
45 Correct 322 ms 5336 KB Output is correct
46 Correct 15 ms 7000 KB Output is correct
47 Correct 50 ms 7080 KB Output is correct
48 Correct 250 ms 7064 KB Output is correct
49 Correct 9 ms 5336 KB Output is correct
50 Correct 104 ms 7056 KB Output is correct
51 Correct 252 ms 7092 KB Output is correct
52 Correct 9 ms 5356 KB Output is correct
53 Correct 247 ms 7220 KB Output is correct
54 Correct 417 ms 7076 KB Output is correct
55 Correct 2147 ms 32844 KB Output is correct
56 Correct 2595 ms 51208 KB Output is correct
57 Runtime error 3381 ms 103780 KB Execution killed with signal 6
58 Halted 0 ms 0 KB -