oj.uz

Submission #898167

# Submission time Handle Problem Language Result Execution time Memory
898167 2024-01-04T11:08:34 Z GrindMachine Boarding Passes (BOI22_passes) C++17
60 / 100
 2000 ms 26200 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl

#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a,b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a,b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif

/*



*/

const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

void solve(int test_case)
{
    string s; cin >> s;
    ll n = sz(s);
    s = "$" + s;

    ll siz = 0;
    rep1(i,n){
        amax(siz,(ll)s[i]-'A'+1);
    }

    vector<ll> pos[siz];
    rep1(i,n) pos[s[i]-'A'].pb(i);

    vector<ll> add_pref[siz][siz], add_suff[siz][siz];
    vector<ll> pref(n+5);

    rep(x,siz){
        fill(all(pref),0);
        trav(i,pos[x]){
            pref[i]++;
        }

        rep1(i,n) pref[i] += pref[i-1];

        rep(y,siz){
            if(x == y) conts;
            trav(i,pos[y]){
                add_pref[x][y].pb(pref[i]);
                add_suff[x][y].pb(pref[n]-pref[i]);
            }
        }
    }

    vector<ll> dp(1<<siz,inf2);
    dp[0] = 0;

    rep(mask,1<<siz){
        vector<ll> seated;
        rep(c,siz){
            if(mask&(1<<c)){
                seated.pb(c);
            }
        }

        rep(c,siz){
            if(mask&(1<<c)) conts;

            ll sizp = sz(pos[c]);
            ll s1 = 0, s2 = sizp;
            ll cost1 = 0, cost2 = 0;

            rep(i,sizp){
                trav(d,seated){
                    cost2 += add_suff[d][c][i];
                }
            }

            ll mn_cost = inf2;
            amin(mn_cost,s2*(s2-1)+cost2*4);

            rep(i,sizp){
                s1++, s2--;
                trav(d,seated){
                    cost1 += add_pref[d][c][i];
                    cost2 -= add_suff[d][c][i];
                }

                amin(mn_cost,s1*(s1-1)+s2*(s2-1)+cost1*4+cost2*4);
            }

            amin(dp[mask|(1<<c)],dp[mask]+mn_cost);
        }
    }

    ld ans = (ld)dp[(1<<siz)-1]/4;
    cout << fixed << setprecision(11);
    cout << ans << endl;
}

int main()
{
    fastio;

    int t = 1;
    // cin >> t;

    rep1(i, t) {
        solve(i);
    }

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 344 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 2 ms 1740 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 2 ms 1996 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 3 ms 2252 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 2 ms 2248 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 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 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 0 ms 344 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
6 Correct 1 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 1 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 1 ms 344 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 1 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 0 ms 344 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
17 Correct 1 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 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 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 0 ms 344 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
6 Correct 1 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 1 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 1 ms 344 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 1 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 0 ms 344 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
17 Correct 1 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
18 Correct 0 ms 356 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 0 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
21 Correct 1 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
22 Correct 1 ms 348 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
23 Correct 1 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
24 Correct 1 ms 600 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
25 Correct 1 ms 344 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 1 ms 344 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 344 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 500 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
32 Correct 0 ms 344 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
33 Correct 1 ms 600 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
34 Correct 1 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
35 Correct 18 ms 2136 KB found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000'
36 Correct 19 ms 2140 KB found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000'
37 Correct 52 ms 2140 KB found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000'
38 Correct 53 ms 2080 KB found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000'
39 Correct 67 ms 2296 KB found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000'
40 Correct 54 ms 1880 KB found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000'
41 Correct 52 ms 2396 KB found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000'
42 Correct 55 ms 2392 KB found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000'
43 Correct 52 ms 2396 KB found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000'
44 Correct 51 ms 2396 KB found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000'
45 Correct 51 ms 2396 KB found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000'
46 Correct 52 ms 2396 KB found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000'

Subtask #4
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 344 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 2 ms 1740 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 2 ms 1996 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 3 ms 2252 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 2 ms 2248 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'
10 Correct 1 ms 600 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 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 0 ms 344 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
15 Correct 1 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 1 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 1 ms 344 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 1 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 0 ms 344 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
26 Correct 1 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
27 Correct 0 ms 356 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 0 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
30 Correct 1 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
31 Correct 1 ms 348 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
32 Correct 1 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
33 Correct 1 ms 600 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
34 Correct 1 ms 344 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 1 ms 344 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 344 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 500 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
41 Correct 0 ms 344 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
42 Correct 1 ms 600 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
43 Correct 1 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
44 Correct 18 ms 2136 KB found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000'
45 Correct 19 ms 2140 KB found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000'
46 Correct 52 ms 2140 KB found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000'
47 Correct 53 ms 2080 KB found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000'
48 Correct 67 ms 2296 KB found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000'
49 Correct 54 ms 1880 KB found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000'
50 Correct 52 ms 2396 KB found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000'
51 Correct 55 ms 2392 KB found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000'
52 Correct 52 ms 2396 KB found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000'
53 Correct 51 ms 2396 KB found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000'
54 Correct 51 ms 2396 KB found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000'
55 Correct 52 ms 2396 KB found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000'
56 Correct 13 ms 768 KB found '7.5000000000', expected '7.5000000000', error '0.0000000000'
57 Correct 15 ms 604 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
58 Correct 1 ms 344 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 1 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
61 Correct 1 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
62 Correct 1 ms 344 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
63 Correct 2 ms 1740 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
64 Correct 3 ms 1996 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
65 Correct 2 ms 2252 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
66 Correct 2 ms 2252 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'
67 Correct 0 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 0 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
71 Correct 1 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 1 ms 344 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
76 Correct 0 ms 344 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 1 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 1 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 22 ms 1992 KB found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000'
85 Correct 13 ms 1880 KB found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000'
86 Correct 71 ms 2140 KB found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000'
87 Correct 75 ms 1884 KB found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000'
88 Correct 98 ms 2136 KB found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000'
89 Correct 84 ms 1880 KB found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000'
90 Correct 82 ms 2548 KB found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000'
91 Correct 53 ms 2396 KB found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000'
92 Correct 60 ms 2648 KB found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000'
93 Correct 53 ms 2396 KB found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000'
94 Correct 56 ms 2480 KB found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000'
95 Correct 64 ms 2396 KB found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000'
96 Execution timed out 2077 ms 26200 KB Time limit exceeded
97 Halted 0 ms 0 KB -