# | Submission time | Handle | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
850423 | 2023-09-16T14:25:42 Z | Ahmed57 | Boarding Passes (BOI22_passes) | C++17 | 599 ms | 40624 KB |
#include <bits/stdc++.h> using namespace std; int c = 0; vector<int> arr[15]; short pref[10001][1024],suf[10001][1024]; long double dp[1024]; int sz; long double ge(long double x){ if(x<=1)return 0; return (x*(x-1))/4.0; } int main(){ string s;cin>>s; map<char,int> x; int ind = -1; sz = s.size(); for(auto i:s){ ind++; if(x[i]==0){ x[i] = ++c; arr[c-1].push_back(ind); }else{ arr[x[i]-1].push_back(ind); } } if(c==1){ long long x = s.size(); if(x<=2){ cout<<0.0<<endl;return 0; } else if(x==3){ cout<<0.5<<endl; return 0; } long double v1 = x/2 , v2 = x-v1; long double ans = ((v1*(v1-1)/2)*(v1*(v1-1)/2))/(v1*(v1-1)); swap(v1,v2); ans+= ((v1*(v1-1)/2)*(v1*(v1-1)/2))/(v1*(v1-1)); cout<<setprecision(3)<<fixed<<ans<<endl; return 0; } for(int mask = 0;mask<(1<<c);mask++){ for(int i = 0;i<sz;i++){ pref[i][mask] = (mask&(1<<(x[s[i]]-1))?1:0); if(i)pref[i][mask]+=pref[i-1][mask]; } for(int i = sz-1;i>=0;i--){ suf[i][mask] =(mask&(1<<(x[s[i]]-1))?1:0); if(i<sz-1)suf[i][mask]+=suf[i+1][mask]; } } for(int mask = (1<<c)-1;mask>=0;mask--){ if(mask==(1<<c)-1){ dp[mask] = 0; continue; } dp[mask] = 1000000000.0; for(int j = 0;j<c;j++){ if(!(mask&(1<<j))){ long long all = 0 , xd = 0; for(int e = 0;e<arr[j].size();e++){ all+=suf[arr[j][e]][mask]; } dp[mask] = min(dp[mask],dp[mask^(1<<j)]+all+xd+ge(arr[j].size())); for(int e = 0;e<arr[j].size();e++){ all-=suf[arr[j][e]][mask]; xd+=pref[arr[j][e]][mask]; dp[mask] = min(dp[mask],dp[mask^(1<<j)]+all+xd+ge(e+1)+ge(arr[j].size()-e-1)); } } } } cout<<setprecision(4)<<fixed<<dp[0]<<endl; return 0; }
Compilation message
# | 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 | 0 ms | 348 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
5 | Correct | 0 ms | 600 KB | found '124002.0000000000', expected '124002.0000000000', error '0.0000000000' |
6 | Correct | 2 ms | 984 KB | found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000' |
7 | Correct | 3 ms | 1248 KB | found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000' |
8 | Correct | 2 ms | 1236 KB | found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000' |
9 | Correct | 3 ms | 1240 KB | found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000' |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 1 ms | 2396 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 | 1 ms | 4700 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
4 | Correct | 1 ms | 4700 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
5 | Correct | 1 ms | 4700 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
6 | Correct | 1 ms | 2396 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
7 | Correct | 1 ms | 4700 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
8 | Correct | 1 ms | 2396 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
9 | Correct | 1 ms | 2396 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
10 | Correct | 1 ms | 2396 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
11 | Correct | 1 ms | 2552 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
12 | Correct | 1 ms | 2396 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
13 | Correct | 1 ms | 2396 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
14 | Correct | 1 ms | 2396 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
15 | Correct | 1 ms | 2396 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
16 | Correct | 1 ms | 2396 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
17 | Correct | 1 ms | 2396 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 1 ms | 2396 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 | 1 ms | 4700 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
4 | Correct | 1 ms | 4700 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
5 | Correct | 1 ms | 4700 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
6 | Correct | 1 ms | 2396 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
7 | Correct | 1 ms | 4700 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
8 | Correct | 1 ms | 2396 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
9 | Correct | 1 ms | 2396 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
10 | Correct | 1 ms | 2396 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
11 | Correct | 1 ms | 2552 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
12 | Correct | 1 ms | 2396 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
13 | Correct | 1 ms | 2396 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
14 | Correct | 1 ms | 2396 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
15 | Correct | 1 ms | 2396 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
16 | Correct | 1 ms | 2396 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
17 | Correct | 1 ms | 2396 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
18 | Correct | 1 ms | 2396 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 | 4700 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
21 | Correct | 1 ms | 4700 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
22 | Correct | 1 ms | 4700 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
23 | Correct | 1 ms | 2396 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
24 | Correct | 1 ms | 4700 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
25 | Correct | 1 ms | 2396 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
26 | Correct | 1 ms | 2392 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
27 | Correct | 1 ms | 2396 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
28 | Correct | 1 ms | 2396 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
29 | Correct | 1 ms | 2396 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
30 | Correct | 1 ms | 2396 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
31 | Correct | 1 ms | 2396 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
32 | Correct | 1 ms | 2396 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
33 | Correct | 1 ms | 2396 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
34 | Correct | 1 ms | 2396 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
35 | Correct | 1 ms | 348 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 | 599 ms | 40588 KB | found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000' |
38 | Correct | 287 ms | 40564 KB | found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000' |
39 | Correct | 297 ms | 40624 KB | found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000' |
40 | Correct | 311 ms | 40496 KB | found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000' |
41 | Correct | 422 ms | 40276 KB | found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000' |
42 | Correct | 413 ms | 40180 KB | found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000' |
43 | Correct | 427 ms | 40436 KB | found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000' |
44 | Correct | 407 ms | 40028 KB | found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000' |
45 | Correct | 406 ms | 40180 KB | found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000' |
46 | Correct | 399 ms | 40180 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 | 0 ms | 348 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
5 | Correct | 0 ms | 600 KB | found '124002.0000000000', expected '124002.0000000000', error '0.0000000000' |
6 | Correct | 2 ms | 984 KB | found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000' |
7 | Correct | 3 ms | 1248 KB | found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000' |
8 | Correct | 2 ms | 1236 KB | found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000' |
9 | Correct | 3 ms | 1240 KB | found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000' |
10 | Correct | 1 ms | 2396 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 | 1 ms | 4700 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
13 | Correct | 1 ms | 4700 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
14 | Correct | 1 ms | 4700 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
15 | Correct | 1 ms | 2396 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
16 | Correct | 1 ms | 4700 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
17 | Correct | 1 ms | 2396 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
18 | Correct | 1 ms | 2396 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
19 | Correct | 1 ms | 2396 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
20 | Correct | 1 ms | 2552 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
21 | Correct | 1 ms | 2396 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
22 | Correct | 1 ms | 2396 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
23 | Correct | 1 ms | 2396 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
24 | Correct | 1 ms | 2396 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
25 | Correct | 1 ms | 2396 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
26 | Correct | 1 ms | 2396 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
27 | Correct | 1 ms | 2396 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 | 4700 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
30 | Correct | 1 ms | 4700 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
31 | Correct | 1 ms | 4700 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
32 | Correct | 1 ms | 2396 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
33 | Correct | 1 ms | 4700 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
34 | Correct | 1 ms | 2396 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
35 | Correct | 1 ms | 2392 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
36 | Correct | 1 ms | 2396 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
37 | Correct | 1 ms | 2396 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
38 | Correct | 1 ms | 2396 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
39 | Correct | 1 ms | 2396 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
40 | Correct | 1 ms | 2396 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
41 | Correct | 1 ms | 2396 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
42 | Correct | 1 ms | 2396 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
43 | Correct | 1 ms | 2396 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
44 | Correct | 1 ms | 348 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 | 599 ms | 40588 KB | found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000' |
47 | Correct | 287 ms | 40564 KB | found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000' |
48 | Correct | 297 ms | 40624 KB | found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000' |
49 | Correct | 311 ms | 40496 KB | found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000' |
50 | Correct | 422 ms | 40276 KB | found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000' |
51 | Correct | 413 ms | 40180 KB | found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000' |
52 | Correct | 427 ms | 40436 KB | found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000' |
53 | Correct | 407 ms | 40028 KB | found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000' |
54 | Correct | 406 ms | 40180 KB | found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000' |
55 | Correct | 399 ms | 40180 KB | found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000' |
56 | Correct | 1 ms | 2396 KB | found '7.5000000000', expected '7.5000000000', error '0.0000000000' |
57 | Incorrect | 20 ms | 4652 KB | 1st numbers differ - expected: '0.0000000000', found: '-486280.0000000000', error = '486280.0000000000' |
58 | Halted | 0 ms | 0 KB | - |