# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
654797 | 2022-11-01T16:21:18 Z | Lobo | Boarding Passes (BOI22_passes) | C++17 | 239 ms | 192460 KB |
#include<bits/stdc++.h> using namespace std; const long long inf = (long long) 1e18 + 10; const int inf1 = (int) 1e9 + 10; #define int long long #define dbl long double #define endl '\n' #define sc second #define fr first #define mp make_pair #define pb push_back #define all(x) x.begin(), x.end() const int maxn1 = 1e5+10; const int maxn = 1e4+10; const int maxg = 11; int n, a[maxn1]; dbl pf[(1<<maxg)][maxn], dp[(1<<maxg)], prepl[maxg][maxg][maxn], prepr[maxg][maxg][maxn]; vector<int> pos[maxg]; void solve() { string s; cin >> s; n = s.size(); vector<char> cc; for(auto x : s) cc.pb(x); sort(all(cc)); cc.erase(unique(all(cc)),cc.end()); for(int i = 1; i <= n; i++) { a[i] = lower_bound(all(cc),s[i-1])-cc.begin(); pos[a[i]].pb(i); } int g = cc.size(); if(g == 1) { dbl ans = 0; for(int i = 1; i <= n; i++) ans+= min((dbl) (i-1)/2,(dbl) (n-i)/2); cout.setf(ios::fixed); cout.precision(10); cout << ans << endl; return; } for(int mask = 1; mask < (1<<g); mask++) { pf[mask][0] = 0; for(int i = 1; i <= n; i++) { pf[mask][i] = pf[mask][i-1]; if((1<<a[i])&mask) pf[mask][i]++; } } for(int i = 0; i < g; i++) { for(int j = 0; j < g; j++) { for(int x = 1; x <= n; x++) { prepl[i][j][x] = prepl[i][j][x-1]; if(pf[(1<<j)][x]-pf[(1<<j)][x-1]) prepl[i][j][x]+= pf[(1<<i)][x]; if(pf[(1<<i)][x]-pf[(1<<i)][x-1]) prepl[i][j][x]+= ((dbl) x-1)/2; } } } for(int i = 0; i < g; i++) { for(int j = 0; j < g; j++) { for(int x = n; x >= 0; x--) { prepr[i][j][x] = prepr[i][j][x+1]; if(pf[(1<<j)][x]-pf[(1<<j)][x-1]) prepr[i][j][x]+= pf[(1<<i)][n]-pf[(1<<i)][x]; if(pf[(1<<i)][x]-pf[(1<<i)][x-1]) prepr[i][j][x]+= ((dbl) pf[(1<<i)][n]-pf[(1<<i)][x])/2; } } } for(int mask = 1; mask < (1<<g); mask++) { dp[mask] = inf; for(int i = 0; i < g; i++) { if(((1<<i)&mask) == 0) continue; int mask1 = mask-(1<<i); int l = 1; int r = pos[i].size(); int ans = 0; // I want to find the greatest i such that I going to // the left if better than i going to the right while(l <= r) { int mid = (l+r)/2; int x = pos[i][mid-1]; // dbl ansl = pf[mask1][x]+((dbl) j-1)/2; dbl ansl = ((dbl) mid-1)/2; for(int j = 0; j < g; j++) { if(((1<<j)&mask1) == 0) continue; ansl+= pf[(1<<j)][x]; } // dbl ansr = pf[mask1][n]-pf[mask1][x]+((dbl) sz-j)/2; dbl ansr = ((dbl) pos[i].size()-mid)/2; for(int j = 0; j < g; j++) { if(((1<<j)&mask1) == 0) continue; ansr+= pf[(1<<j)][n]-pf[(1<<j)][x]; } if(ansl <= ansr) { ans = mid; l = mid+1; } else { r = mid-1; } } dbl ans1 = dp[mask1]; // for(int j = 0; j < g; j++) { // if(((1<<j)&mask1) == 0) continue; // ans1+= prepc[i][j][x]; // } int sz = pos[i].size(); for(int j = 1; j <= ans; j++) { int x = pos[i][j-1]; ans1+= pf[mask1][x]+((dbl) j-1)/2; // cout << " " << min(pf[mask1][x]+((dbl) j-1)/2, pf[mask1][n]-pf[mask1][x]+((dbl) pos[i].size()-j)/2) << endl; } // if(ans != 0) { // for(int j = 0; j < g; j++) { // if(((1<<j)&mask1) == 0) continue; // ans1+= prepl[i][j][pos[i][ans-1]]; // } // } // if(ans != pos[i].size()) { // for(int j = 0; j < g; j++) { // if(((1<<j)&mask1) == 0) continue; // ans1+= prepr[i][j][pos[i][ans-1]+1]; // } // } for(int j = ans+1; j <= pos[i].size(); j++) { int x = pos[i][j-1]; ans1+= pf[mask1][n]-pf[mask1][x]+((dbl) sz-j)/2; // cout << " " << min(pf[mask1][x]+((dbl) j-1)/2, pf[mask1][n]-pf[mask1][x]+((dbl) pos[i].size()-j)/2) << endl; } dp[mask] = min(dp[mask],ans1); } // dp[mask] = inf; // for(int i = 0; i < g; i++) { // if(((1<<i)&mask) == 0) continue; // int mask1 = mask-(1<<i); // dbl ans1 = dp[mask1]; // int sz = pos[i].size(); // for(int j = 1; j <= pos[i].size(); j++) { // int x = pos[i][j-1]; // ans1+= min(pf[mask1][x]+((dbl) j-1)/2, pf[mask1][n]-pf[mask1][x]+((dbl) sz-j)/2); // // cout << " " << min(pf[mask1][x]+((dbl) j-1)/2, pf[mask1][n]-pf[mask1][x]+((dbl) pos[i].size()-j)/2) << endl; // } // dp[mask] = min(dp[mask],ans1); // // cout << mask << " " << i << " = " << ans1 << " " << pf[mask1][1] << endl; // } } cout.setf(ios::fixed); cout.precision(10); cout << dp[(1<<g)-1] << endl; } int32_t main() { ios::sync_with_stdio(false); cin.tie(0); // freopen("in.in", "r", stdin); // freopen("out.out", "w", stdout); int tt = 1; // cin >> tt; while(tt--) { solve(); } }
Compilation message
# | 결과 | 실행 시간 | 메모리 | Grader output |
---|---|---|---|---|
1 | Correct | 0 ms | 340 KB | found '100800.5000000000', expected '100800.5000000000', error '0.0000000000' |
2 | Correct | 0 ms | 212 KB | found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
3 | Correct | 0 ms | 212 KB | found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
4 | Correct | 0 ms | 212 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
5 | Correct | 0 ms | 340 KB | found '124002.0000000000', expected '124002.0000000000', error '0.0000000000' |
6 | Correct | 5 ms | 2124 KB | found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000' |
7 | Correct | 4 ms | 2252 KB | found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000' |
8 | Correct | 5 ms | 2252 KB | found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000' |
9 | Correct | 4 ms | 2252 KB | found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000' |
# | 결과 | 실행 시간 | 메모리 | Grader output |
---|---|---|---|---|
1 | Correct | 0 ms | 340 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
2 | Correct | 0 ms | 212 KB | found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
3 | Correct | 1 ms | 1620 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
4 | Correct | 1 ms | 1620 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
5 | Correct | 1 ms | 1620 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
6 | Correct | 1 ms | 1236 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
7 | Correct | 1 ms | 1620 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
8 | Correct | 1 ms | 980 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
9 | Correct | 1 ms | 1364 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
10 | Correct | 1 ms | 1364 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
11 | Correct | 1 ms | 1364 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
12 | Correct | 1 ms | 1364 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
13 | Correct | 2 ms | 1364 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
14 | Correct | 1 ms | 1364 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
15 | Correct | 1 ms | 1364 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
16 | Correct | 1 ms | 1364 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
17 | Correct | 1 ms | 1364 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
# | 결과 | 실행 시간 | 메모리 | Grader output |
---|---|---|---|---|
1 | Correct | 0 ms | 340 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
2 | Correct | 0 ms | 212 KB | found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
3 | Correct | 1 ms | 1620 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
4 | Correct | 1 ms | 1620 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
5 | Correct | 1 ms | 1620 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
6 | Correct | 1 ms | 1236 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
7 | Correct | 1 ms | 1620 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
8 | Correct | 1 ms | 980 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
9 | Correct | 1 ms | 1364 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
10 | Correct | 1 ms | 1364 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
11 | Correct | 1 ms | 1364 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
12 | Correct | 1 ms | 1364 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
13 | Correct | 2 ms | 1364 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
14 | Correct | 1 ms | 1364 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
15 | Correct | 1 ms | 1364 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
16 | Correct | 1 ms | 1364 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
17 | Correct | 1 ms | 1364 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
18 | Correct | 0 ms | 340 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
19 | Correct | 0 ms | 340 KB | found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
20 | Correct | 1 ms | 1620 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
21 | Correct | 1 ms | 1620 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
22 | Correct | 1 ms | 1620 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
23 | Correct | 1 ms | 1236 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
24 | Correct | 1 ms | 1492 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
25 | Correct | 1 ms | 980 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
26 | Correct | 1 ms | 1364 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
27 | Correct | 1 ms | 1364 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
28 | Correct | 1 ms | 1364 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
29 | Correct | 1 ms | 1364 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
30 | Correct | 1 ms | 1364 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
31 | Correct | 1 ms | 1364 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
32 | Correct | 1 ms | 1364 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
33 | Correct | 1 ms | 1364 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
34 | Correct | 1 ms | 1364 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
35 | Correct | 1 ms | 596 KB | found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000' |
36 | Correct | 1 ms | 596 KB | found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000' |
37 | Correct | 212 ms | 192232 KB | found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000' |
38 | Correct | 198 ms | 192160 KB | found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000' |
39 | Correct | 178 ms | 192376 KB | found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000' |
40 | Correct | 175 ms | 192200 KB | found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000' |
41 | Correct | 202 ms | 192220 KB | found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000' |
42 | Correct | 239 ms | 192460 KB | found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000' |
43 | Correct | 199 ms | 192252 KB | found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000' |
44 | Correct | 199 ms | 192264 KB | found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000' |
45 | Correct | 215 ms | 192240 KB | found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000' |
46 | Correct | 201 ms | 192248 KB | found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000' |
# | 결과 | 실행 시간 | 메모리 | Grader output |
---|---|---|---|---|
1 | Correct | 0 ms | 340 KB | found '100800.5000000000', expected '100800.5000000000', error '0.0000000000' |
2 | Correct | 0 ms | 212 KB | found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
3 | Correct | 0 ms | 212 KB | found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
4 | Correct | 0 ms | 212 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
5 | Correct | 0 ms | 340 KB | found '124002.0000000000', expected '124002.0000000000', error '0.0000000000' |
6 | Correct | 5 ms | 2124 KB | found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000' |
7 | Correct | 4 ms | 2252 KB | found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000' |
8 | Correct | 5 ms | 2252 KB | found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000' |
9 | Correct | 4 ms | 2252 KB | found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000' |
10 | Correct | 0 ms | 340 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
11 | Correct | 0 ms | 212 KB | found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
12 | Correct | 1 ms | 1620 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
13 | Correct | 1 ms | 1620 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
14 | Correct | 1 ms | 1620 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
15 | Correct | 1 ms | 1236 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
16 | Correct | 1 ms | 1620 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
17 | Correct | 1 ms | 980 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
18 | Correct | 1 ms | 1364 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
19 | Correct | 1 ms | 1364 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
20 | Correct | 1 ms | 1364 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
21 | Correct | 1 ms | 1364 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
22 | Correct | 2 ms | 1364 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
23 | Correct | 1 ms | 1364 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
24 | Correct | 1 ms | 1364 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
25 | Correct | 1 ms | 1364 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
26 | Correct | 1 ms | 1364 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
27 | Correct | 0 ms | 340 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
28 | Correct | 0 ms | 340 KB | found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
29 | Correct | 1 ms | 1620 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
30 | Correct | 1 ms | 1620 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
31 | Correct | 1 ms | 1620 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
32 | Correct | 1 ms | 1236 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
33 | Correct | 1 ms | 1492 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
34 | Correct | 1 ms | 980 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
35 | Correct | 1 ms | 1364 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
36 | Correct | 1 ms | 1364 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
37 | Correct | 1 ms | 1364 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
38 | Correct | 1 ms | 1364 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
39 | Correct | 1 ms | 1364 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
40 | Correct | 1 ms | 1364 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
41 | Correct | 1 ms | 1364 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
42 | Correct | 1 ms | 1364 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
43 | Correct | 1 ms | 1364 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
44 | Correct | 1 ms | 596 KB | found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000' |
45 | Correct | 1 ms | 596 KB | found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000' |
46 | Correct | 212 ms | 192232 KB | found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000' |
47 | Correct | 198 ms | 192160 KB | found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000' |
48 | Correct | 178 ms | 192376 KB | found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000' |
49 | Correct | 175 ms | 192200 KB | found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000' |
50 | Correct | 202 ms | 192220 KB | found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000' |
51 | Correct | 239 ms | 192460 KB | found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000' |
52 | Correct | 199 ms | 192252 KB | found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000' |
53 | Correct | 199 ms | 192264 KB | found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000' |
54 | Correct | 215 ms | 192240 KB | found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000' |
55 | Correct | 201 ms | 192248 KB | found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000' |
56 | Correct | 1 ms | 596 KB | found '7.5000000000', expected '7.5000000000', error '0.0000000000' |
57 | Runtime error | 37 ms | 20308 KB | Execution killed with signal 11 |
58 | Halted | 0 ms | 0 KB | - |