Submission #953533

# Submission time Handle Problem Language Result Execution time Memory
953533 2024-03-26T05:39:16 Z PM1 Boarding Passes (BOI22_passes) C++17
60 / 100
2000 ms 6232 KB
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("Ofast")
#define ll long long
const int mxn=1e5+5,mxg=15;
int g,n,a[mxn],cnt=0,all[mxg+5];
string s;
ll dp[(1<<mxg)],res[(1<<mxg)][mxg+5],z=1,sum[(1<<mxg)],num[mxg+5],rsum[(1<<mxg)],zz=2;
int main(){
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	cin>>s;
	n=s.size();
	for(int i=0;i<n;i++){
		int x=s[i];
		a[x]=(a[x]==0)?++cnt:a[x];
		x=a[x];
		all[x]+=z;
	}
	for(int i=0;i<n;i++){
		int x=s[i];
		x=a[x];
		for(int j=0;j<(1<<cnt);j++){
			if(j&(1<<(x-1))){
				rsum[j]+=z;
			}
		}
	}
	for(int i=0;i<n;i++){
		int x=s[i];
		x=a[x];
		for(int j=0;j<(1<<cnt);j++){
			if(j&(1<<(x-1)))continue;
			res[j][x]+=min(sum[j]*2+num[x],rsum[j]*2+all[x]-num[x]-z);
		}
		for(int j=0;j<(1<<cnt);j++){
			if(j&(1<<(x-1))){
				rsum[j]-=z;
				sum[j]+=z;
			}
		}
		num[x]+=z;
	}
	for(int i=1;i<(1<<cnt);i++){
		dp[i]=1e18;
		for(int j=0;j<cnt;j++){
			if(i&(1<<j)){
				int y=i-(1<<j);
				dp[i]=min(dp[i],dp[y]+res[y][j+1]);
			}
		}
	}
	cout<<dp[(1<<cnt)-1]/2;
	if(dp[(1<<cnt)-1]%2)
		cout<<".5";
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB found '100800.5000000000', expected '100800.5000000000', error '0.0000000000'
2 Correct 0 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
3 Correct 0 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
4 Correct 1 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
5 Correct 0 ms 348 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 1 ms 852 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 2 ms 600 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 2 ms 604 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 1 ms 604 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
2 Correct 0 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
3 Correct 0 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
4 Correct 0 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
5 Correct 1 ms 348 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
6 Correct 0 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
7 Correct 0 ms 348 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
8 Correct 0 ms 344 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
9 Correct 1 ms 348 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
10 Correct 0 ms 348 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
11 Correct 1 ms 344 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
12 Correct 0 ms 348 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
13 Correct 0 ms 348 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
14 Correct 0 ms 348 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
15 Correct 1 ms 348 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
16 Correct 1 ms 344 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
17 Correct 0 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
2 Correct 0 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
3 Correct 0 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
4 Correct 0 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
5 Correct 1 ms 348 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
6 Correct 0 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
7 Correct 0 ms 348 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
8 Correct 0 ms 344 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
9 Correct 1 ms 348 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
10 Correct 0 ms 348 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
11 Correct 1 ms 344 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
12 Correct 0 ms 348 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
13 Correct 0 ms 348 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
14 Correct 0 ms 348 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
15 Correct 1 ms 348 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
16 Correct 1 ms 344 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
17 Correct 0 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
18 Correct 1 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
19 Correct 0 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
20 Correct 1 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
21 Correct 0 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
22 Correct 0 ms 344 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
23 Correct 0 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
24 Correct 0 ms 348 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
25 Correct 1 ms 348 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
26 Correct 0 ms 348 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
27 Correct 0 ms 348 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
28 Correct 1 ms 348 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
29 Correct 0 ms 348 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
30 Correct 1 ms 348 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
31 Correct 1 ms 348 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
32 Correct 0 ms 348 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
33 Correct 0 ms 348 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
34 Correct 0 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
35 Correct 1 ms 500 KB found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000'
36 Correct 1 ms 344 KB found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000'
37 Correct 33 ms 496 KB found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000'
38 Correct 30 ms 600 KB found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000'
39 Correct 38 ms 776 KB found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000'
40 Correct 30 ms 664 KB found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000'
41 Correct 32 ms 496 KB found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000'
42 Correct 33 ms 604 KB found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000'
43 Correct 38 ms 600 KB found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000'
44 Correct 32 ms 652 KB found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000'
45 Correct 37 ms 604 KB found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000'
46 Correct 31 ms 824 KB found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000'
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB found '100800.5000000000', expected '100800.5000000000', error '0.0000000000'
2 Correct 0 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
3 Correct 0 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
4 Correct 1 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
5 Correct 0 ms 348 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 1 ms 852 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 2 ms 600 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 2 ms 604 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 1 ms 604 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'
10 Correct 0 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
11 Correct 0 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
12 Correct 0 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
13 Correct 0 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
14 Correct 1 ms 348 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
15 Correct 0 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
16 Correct 0 ms 348 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
17 Correct 0 ms 344 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
18 Correct 1 ms 348 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
19 Correct 0 ms 348 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
20 Correct 1 ms 344 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
21 Correct 0 ms 348 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
22 Correct 0 ms 348 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
23 Correct 0 ms 348 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
24 Correct 1 ms 348 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
25 Correct 1 ms 344 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
26 Correct 0 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
27 Correct 1 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
28 Correct 0 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
29 Correct 1 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
30 Correct 0 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
31 Correct 0 ms 344 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
32 Correct 0 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
33 Correct 0 ms 348 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
34 Correct 1 ms 348 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
35 Correct 0 ms 348 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
36 Correct 0 ms 348 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
37 Correct 1 ms 348 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
38 Correct 0 ms 348 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
39 Correct 1 ms 348 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
40 Correct 1 ms 348 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
41 Correct 0 ms 348 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
42 Correct 0 ms 348 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
43 Correct 0 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
44 Correct 1 ms 500 KB found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000'
45 Correct 1 ms 344 KB found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000'
46 Correct 33 ms 496 KB found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000'
47 Correct 30 ms 600 KB found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000'
48 Correct 38 ms 776 KB found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000'
49 Correct 30 ms 664 KB found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000'
50 Correct 32 ms 496 KB found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000'
51 Correct 33 ms 604 KB found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000'
52 Correct 38 ms 600 KB found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000'
53 Correct 32 ms 652 KB found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000'
54 Correct 37 ms 604 KB found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000'
55 Correct 31 ms 824 KB found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000'
56 Correct 0 ms 344 KB found '7.5000000000', expected '7.5000000000', error '0.0000000000'
57 Correct 8 ms 6232 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
58 Correct 1 ms 348 KB found '100800.5000000000', expected '100800.5000000000', error '0.0000000000'
59 Correct 1 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
60 Correct 0 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
61 Correct 0 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
62 Correct 0 ms 348 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
63 Correct 1 ms 604 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
64 Correct 1 ms 604 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
65 Correct 2 ms 604 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
66 Correct 2 ms 604 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'
67 Correct 1 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
68 Correct 0 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
69 Correct 1 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
70 Correct 1 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
71 Correct 0 ms 348 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
72 Correct 1 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
73 Correct 1 ms 348 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
74 Correct 0 ms 348 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
75 Correct 0 ms 348 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
76 Correct 0 ms 348 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
77 Correct 0 ms 348 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
78 Correct 0 ms 348 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
79 Correct 0 ms 348 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
80 Correct 0 ms 348 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
81 Correct 0 ms 348 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
82 Correct 1 ms 348 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
83 Correct 0 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
84 Correct 0 ms 348 KB found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000'
85 Correct 1 ms 344 KB found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000'
86 Correct 34 ms 492 KB found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000'
87 Correct 32 ms 600 KB found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000'
88 Correct 31 ms 600 KB found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000'
89 Correct 30 ms 604 KB found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000'
90 Correct 33 ms 604 KB found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000'
91 Correct 35 ms 608 KB found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000'
92 Correct 33 ms 688 KB found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000'
93 Correct 33 ms 612 KB found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000'
94 Correct 35 ms 604 KB found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000'
95 Correct 33 ms 500 KB found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000'
96 Execution timed out 2045 ms 2904 KB Time limit exceeded
97 Halted 0 ms 0 KB -