oj.uz

Submission #573979

# Submission time Handle Problem Language Result Execution time Memory
573979 2022-06-07T14:11:21 Z kshitij_sodani Boarding Passes (BOI22_passes) C++14
100 / 100
 384 ms 343332 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long llo;
#define a first
#define b second
#define pb push_back
#define endl '\n'
 
 
llo dp[1<<16];
llo it[100001];
llo ans[100001];
llo vis[100001];
vector<llo> pre[20];

llo pre4[15][15][100001];

llo pre2[15][15][100001];
llo pre3[15][100001];
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	string s;
	cin>>s;
	llo m=0;
	llo n=s.size();
	for(llo i=0;i<n;i++){
		m=max(m,(llo)(s[i]-'A'+1));
		it[i]=s[i]-'A';
		pre[it[i]].pb(i);
	}
	for(llo i=0;i<(1<<m);i++){
		dp[i]=1e18;
	}
	dp[0]=0;
	for(int i=0;i<m;i++){
		for(int j=0;j<m;j++){
			if(i==j){
				continue;
			}
			int su=0;
			for(int ii=0;ii<n;ii++){
				pre4[i][j][ii+1]=pre4[i][j][ii];

				if(it[ii]==i){
					pre4[i][j][ii+1]+=su;
				//	su++;
				}
				else if(it[ii]==j){
					su+=2;
				}
			}
		}
	}
	for(int i=0;i<n;i++){
		for(int j=0;j<m;j++){
			pre3[j][i+1]=pre3[j][i];
			if(it[i]==j){
				pre3[j][i+1]+=2;
			}
		}
	}
	for(int i=0;i<m;i++){
		for(int j=0;j<m;j++){
			if(i==j){
				continue;
			}
			int su=0;
			for(int ii=n-1;ii>=0;ii--){
				pre2[i][j][ii]=pre2[i][j][ii+1];

				if(it[ii]==i){
					pre2[i][j][ii]+=su;
					//su++;
				}
				else if(it[ii]==j){
					su+=2;
				}
			}
		}
	}
	//cout<<pre[1].size()<<endl;
	for(llo i=0;i<(1<<m);i++){
		vector<int> ss;
		for(int j=0;j<m;j++){
			if((1<<j)&i){
				ss.pb(j);
			}
		}
		/*for(llo j=0;j<n;j++){
			if((1<<it[j])&i){
				vis[j+1]=2;
			}
			else{
				vis[j+1]=0;
			}
			vis[j+1]+=vis[j];
		}*/
		for(llo j=0;j<m;j++){
			if((1<<j)&i){
				continue;
			}
			if(pre[j].size()==0){
				dp[i+(1<<j)]=min(dp[i+(1<<j)],dp[i]);
				continue;
			}
			llo low=-1;
			llo xx=pre[j].size();
			for(int jj=17;jj>=0;jj--){
				if(low+(1<<jj)<(llo)pre[j].size()){
					//check if left<=right
					int ind=pre[j][low+(1<<jj)];
					llo su=0;
					llo su2=0;
					for(auto ii:ss){
						su+=pre3[ii][ind];
						su2+=pre3[ii][n]-pre3[ii][ind];
					}
					su+=low+(1<<jj);
					su2+=(xx-(low+(1<<jj))-1);
					if(su<=su2){
						low+=(1<<jj);
					}
				
				}
			}

			llo cur=0;

			cur+=((low*(low+1)))/2;
			llo low2=xx-low-1;
			cur+=((low2-1)*(low2))/2;
			llo ind=-1;

		//	cout<<cur<<":"<<low+1<<":"<<low2<<endl;
			if(low>=0){
				ind=pre[j][low];
			}
			for(auto jj:ss){
				cur+=pre4[j][jj][ind+1];
				
				cur+=pre2[j][jj][ind+1];
			}
			//cout<<i<<":"<<j<<":"<<low<<endl;
			dp[i+(1<<j)]=min(dp[i+(1<<j)],dp[i]+cur);
			/*llo le=pre[j].size();
			llo cur2=dp[i];
			llo su=0;
			for(auto jj:pre[j]){
				llo cur3=min(su+vis[jj],le-su-1+vis[n]-vis[jj]);
				cur2+=cur3;
				su++;
				//cout<<j<<":"<<cur3<<endl;
			}
			*/
		}
	}
	llo aa=dp[(1<<m)-1];
//	cout<<aa<<endl;
	if(aa%2==0){
		cout<<(aa/2)<<endl;
	}
	else{
		cout<<(aa/2)<<".5"<<endl;
		/*long double xx=aa;
		xx/=(long double)2;
		cout<<setprecision(2)<<xx<<endl;*/
	}

	
 
 
	return 0;
}

Subtask #1
5.0 / 5.0

# 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 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 2 ms 2428 KB Output is correct
7 Correct 3 ms 2828 KB Output is correct
8 Correct 3 ms 2956 KB Output is correct
9 Correct 3 ms 2956 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 852 KB Output is correct
4 Correct 1 ms 852 KB Output is correct
5 Correct 1 ms 852 KB Output is correct
6 Correct 1 ms 852 KB Output is correct
7 Correct 1 ms 852 KB Output is correct
8 Correct 1 ms 852 KB Output is correct
9 Correct 1 ms 852 KB Output is correct
10 Correct 1 ms 852 KB Output is correct
11 Correct 1 ms 852 KB Output is correct
12 Correct 1 ms 852 KB Output is correct
13 Correct 1 ms 852 KB Output is correct
14 Correct 1 ms 852 KB Output is correct
15 Correct 1 ms 852 KB Output is correct
16 Correct 1 ms 852 KB Output is correct
17 Correct 1 ms 852 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 852 KB Output is correct
4 Correct 1 ms 852 KB Output is correct
5 Correct 1 ms 852 KB Output is correct
6 Correct 1 ms 852 KB Output is correct
7 Correct 1 ms 852 KB Output is correct
8 Correct 1 ms 852 KB Output is correct
9 Correct 1 ms 852 KB Output is correct
10 Correct 1 ms 852 KB Output is correct
11 Correct 1 ms 852 KB Output is correct
12 Correct 1 ms 852 KB Output is correct
13 Correct 1 ms 852 KB Output is correct
14 Correct 1 ms 852 KB Output is correct
15 Correct 1 ms 852 KB Output is correct
16 Correct 1 ms 852 KB Output is correct
17 Correct 1 ms 852 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 852 KB Output is correct
21 Correct 1 ms 852 KB Output is correct
22 Correct 1 ms 852 KB Output is correct
23 Correct 1 ms 852 KB Output is correct
24 Correct 1 ms 852 KB Output is correct
25 Correct 1 ms 852 KB Output is correct
26 Correct 1 ms 852 KB Output is correct
27 Correct 1 ms 852 KB Output is correct
28 Correct 1 ms 852 KB Output is correct
29 Correct 1 ms 852 KB Output is correct
30 Correct 1 ms 852 KB Output is correct
31 Correct 1 ms 852 KB Output is correct
32 Correct 1 ms 852 KB Output is correct
33 Correct 1 ms 852 KB Output is correct
34 Correct 1 ms 852 KB Output is correct
35 Correct 7 ms 10708 KB Output is correct
36 Correct 7 ms 10708 KB Output is correct
37 Correct 12 ms 16460 KB Output is correct
38 Correct 13 ms 16468 KB Output is correct
39 Correct 13 ms 16632 KB Output is correct
40 Correct 12 ms 16340 KB Output is correct
41 Correct 12 ms 16212 KB Output is correct
42 Correct 14 ms 16136 KB Output is correct
43 Correct 12 ms 16212 KB Output is correct
44 Correct 14 ms 16212 KB Output is correct
45 Correct 16 ms 16212 KB Output is correct
46 Correct 13 ms 16176 KB Output is correct

Subtask #4
40.0 / 40.0

# 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 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 2 ms 2428 KB Output is correct
7 Correct 3 ms 2828 KB Output is correct
8 Correct 3 ms 2956 KB Output is correct
9 Correct 3 ms 2956 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 852 KB Output is correct
13 Correct 1 ms 852 KB Output is correct
14 Correct 1 ms 852 KB Output is correct
15 Correct 1 ms 852 KB Output is correct
16 Correct 1 ms 852 KB Output is correct
17 Correct 1 ms 852 KB Output is correct
18 Correct 1 ms 852 KB Output is correct
19 Correct 1 ms 852 KB Output is correct
20 Correct 1 ms 852 KB Output is correct
21 Correct 1 ms 852 KB Output is correct
22 Correct 1 ms 852 KB Output is correct
23 Correct 1 ms 852 KB Output is correct
24 Correct 1 ms 852 KB Output is correct
25 Correct 1 ms 852 KB Output is correct
26 Correct 1 ms 852 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 852 KB Output is correct
30 Correct 1 ms 852 KB Output is correct
31 Correct 1 ms 852 KB Output is correct
32 Correct 1 ms 852 KB Output is correct
33 Correct 1 ms 852 KB Output is correct
34 Correct 1 ms 852 KB Output is correct
35 Correct 1 ms 852 KB Output is correct
36 Correct 1 ms 852 KB Output is correct
37 Correct 1 ms 852 KB Output is correct
38 Correct 1 ms 852 KB Output is correct
39 Correct 1 ms 852 KB Output is correct
40 Correct 1 ms 852 KB Output is correct
41 Correct 1 ms 852 KB Output is correct
42 Correct 1 ms 852 KB Output is correct
43 Correct 1 ms 852 KB Output is correct
44 Correct 7 ms 10708 KB Output is correct
45 Correct 7 ms 10708 KB Output is correct
46 Correct 12 ms 16460 KB Output is correct
47 Correct 13 ms 16468 KB Output is correct
48 Correct 13 ms 16632 KB Output is correct
49 Correct 12 ms 16340 KB Output is correct
50 Correct 12 ms 16212 KB Output is correct
51 Correct 14 ms 16136 KB Output is correct
52 Correct 12 ms 16212 KB Output is correct
53 Correct 14 ms 16212 KB Output is correct
54 Correct 16 ms 16212 KB Output is correct
55 Correct 13 ms 16176 KB Output is correct
56 Correct 21 ms 3080 KB Output is correct
57 Correct 23 ms 3028 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 0 ms 340 KB Output is correct
60 Correct 0 ms 340 KB Output is correct
61 Correct 0 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 3 ms 2444 KB Output is correct
64 Correct 3 ms 2828 KB Output is correct
65 Correct 3 ms 2956 KB Output is correct
66 Correct 3 ms 2956 KB Output is correct
67 Correct 1 ms 340 KB Output is correct
68 Correct 1 ms 340 KB Output is correct
69 Correct 1 ms 852 KB Output is correct
70 Correct 1 ms 852 KB Output is correct
71 Correct 1 ms 852 KB Output is correct
72 Correct 1 ms 852 KB Output is correct
73 Correct 1 ms 852 KB Output is correct
74 Correct 1 ms 852 KB Output is correct
75 Correct 1 ms 852 KB Output is correct
76 Correct 1 ms 852 KB Output is correct
77 Correct 1 ms 852 KB Output is correct
78 Correct 1 ms 852 KB Output is correct
79 Correct 1 ms 852 KB Output is correct
80 Correct 1 ms 888 KB Output is correct
81 Correct 1 ms 852 KB Output is correct
82 Correct 1 ms 852 KB Output is correct
83 Correct 1 ms 852 KB Output is correct
84 Correct 7 ms 10708 KB Output is correct
85 Correct 7 ms 10708 KB Output is correct
86 Correct 16 ms 16468 KB Output is correct
87 Correct 12 ms 16504 KB Output is correct
88 Correct 11 ms 16596 KB Output is correct
89 Correct 13 ms 16460 KB Output is correct
90 Correct 16 ms 16180 KB Output is correct
91 Correct 12 ms 16200 KB Output is correct
92 Correct 12 ms 16180 KB Output is correct
93 Correct 13 ms 16212 KB Output is correct
94 Correct 12 ms 16212 KB Output is correct
95 Correct 12 ms 16160 KB Output is correct
96 Correct 384 ms 343208 KB Output is correct
97 Correct 14 ms 2644 KB Output is correct
98 Correct 293 ms 342988 KB Output is correct
99 Correct 254 ms 343104 KB Output is correct
100 Correct 31 ms 3028 KB Output is correct
101 Correct 317 ms 343204 KB Output is correct
102 Correct 292 ms 343332 KB Output is correct
103 Correct 322 ms 343156 KB Output is correct
104 Correct 298 ms 343260 KB Output is correct
105 Correct 308 ms 343184 KB Output is correct
106 Correct 312 ms 343128 KB Output is correct
107 Correct 291 ms 343116 KB Output is correct
108 Correct 234 ms 298464 KB Output is correct
109 Correct 320 ms 343288 KB Output is correct