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Submission #573271

# Submission time Handle Problem Language Result Execution time Memory
573271 2022-06-06T10:27:15 Z MohamedAliSaidane Boarding Passes (BOI22_passes) C++14
60 / 100
 2000 ms 8404 KB 
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>

        using namespace __gnu_pbds;
        using namespace std;

        typedef tree<int,null_type,less<int>,rb_tree_tag,
        tree_order_statistics_node_update> indexed_set;

        typedef long long ll;
        typedef double ld;

        typedef pair<int,int> pii;
        typedef pair<ll,ll> pll;
        typedef pair<ld,ld> pld;

        typedef vector<int> vi;
        typedef vector<ll> vll;
        typedef vector<pii> vpi;
        typedef vector<pll> vpl;

        #define pb push_back
        #define popb pop_back
        #define pp pop_back
        #define pf push_front
        #define popf pop_front
        #define all(x) (x).begin(),(x).end()
        #define ff first
        #define ss second

        #define int ll

        int nx[4] = {0,0,1,-1}, ny[4] = {1,-1,0,0};
        ll gcd(ll a , ll b) {return b ? gcd(b , a % b) : a ;}
        ll lcm(ll a , ll b) {return (a * b) / gcd(a , b);}

        const ld MOD = 1e20;
        const int nax = 1e5 + 4;
        int n, g, sz = 1;
        ld dp[(1 << 15)][15];
        string s;
        vi A[15];
        vector<ld> st;
        ld exp_front[nax], exp_back[nax];
        void update(int i, ld val)
        {
            i += sz;
            st[i] = val;
            i /= 2;
            while(i)
            {
                st[i] = st[2 * i] + st[2 * i + 1];
                i /= 2;
            }
        }
        ld query(int p, int l, int r, int i, int j)
        {
            if( i>  j)
                return 0;
            if(l >= i && r <= j)
                return st[p];
            int m = (l+r)/2;
            return query(2 * p,l,m,i,min(j,m))
                + query(2 * p + 1,m+1,r,max(i,m+1),j);
        }
        ld f(int mask, int b)
        {
            if(fabs(dp[mask][b] + 1) > 1e-9)
                return dp[mask][b];
            ld rep = 0, ans = 1e20;
            for(auto e: A[b])
            {
                ld addfront = (ld)(query(1,0,sz-1,0,e));
                ld addback = (ld)(query(1,0,sz - 1,e,n-1));
                rep += min(exp_front[e] + addfront,exp_back[e] + addback);
            }
            for(auto e: A[b])
                update(e,1);
            if(mask == (1 << g)-1)
                ans = 0;
            for(int j = 0; j < g; j++)
            {
                if((1 << j) & mask)
                    continue;
                ans = min(ans,f(mask + (1 << j),j));
            }
            for(auto e: A[b])
                update(e,0);
            //cout << mask << ' ' << b << ' ' << ans << ' ' << rep  << '\n';
            return dp[mask][b] = ans + rep;
        }
        void solve()
        {
            cin >> s;
            n = s.length();
            while(sz < n)
                sz = (sz << 1);
            st.assign(2 * sz + 1,0);
            for(int i  = 0; i < n ;i ++)
            {
                int c =s[i] - 'A';
                A[c].pb(i);
                g=  max(g,c + 1);
            }
            for(int i = 0; i < (1 << g); i++)
            {
                for(int j  = 0; j < g; j++)
                    dp[i][j] =-1;
            }
            for(int group = 0; group < g; group ++)
            {
                int szi = A[group].size();
                for(int i =0; i < szi; i++)
                {
                    exp_front[A[group][i]] = (ld)(((ld)(i) * (ld)((i + 1.0)))/2.0);
                    exp_front[A[group][i]] /= (ld)(i+1.0);
                    exp_back[A[group][i]] = (ld)(((ld)((szi -i - 1.0))*(ld)((szi - i)))/2.0);
                    exp_back[A[group][i]] /= (ld)(szi - i);
                    //cout << A[group][i] << ' ' << exp_front[A[group][i]] << ' ' << exp_back[A[group][i]] << '\n';
                }
            }
            ld ans = 1e20;
            for(int i = 0; i < g; i++)
                ans = min(ans,f((1 << i),i));
            cout  << setprecision(100) <<  ans;
        }

        int32_t main()
        {
            ios::sync_with_stdio(false);
            cin.tie(0); cout.tie(0);
            int tt = 1;
            while(tt --)
                solve();
        }

Subtask #1
5.0 / 5.0

# 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 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 34 ms 4240 KB Output is correct
7 Correct 39 ms 4496 KB Output is correct
8 Correct 43 ms 4624 KB Output is correct
9 Correct 39 ms 4624 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 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 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 390 ms 852 KB Output is correct
36 Correct 411 ms 852 KB Output is correct
37 Correct 1652 ms 980 KB Output is correct
38 Correct 1522 ms 852 KB Output is correct
39 Correct 1511 ms 980 KB Output is correct
40 Correct 1616 ms 852 KB Output is correct
41 Correct 1708 ms 980 KB Output is correct
42 Correct 1692 ms 852 KB Output is correct
43 Correct 1697 ms 980 KB Output is correct
44 Correct 1686 ms 852 KB Output is correct
45 Correct 1720 ms 980 KB Output is correct
46 Correct 1706 ms 852 KB Output is correct

Subtask #4
0 / 40.0

# 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 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 34 ms 4240 KB Output is correct
7 Correct 39 ms 4496 KB Output is correct
8 Correct 43 ms 4624 KB Output is correct
9 Correct 39 ms 4624 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 0 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 0 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 390 ms 852 KB Output is correct
45 Correct 411 ms 852 KB Output is correct
46 Correct 1652 ms 980 KB Output is correct
47 Correct 1522 ms 852 KB Output is correct
48 Correct 1511 ms 980 KB Output is correct
49 Correct 1616 ms 852 KB Output is correct
50 Correct 1708 ms 980 KB Output is correct
51 Correct 1692 ms 852 KB Output is correct
52 Correct 1697 ms 980 KB Output is correct
53 Correct 1686 ms 852 KB Output is correct
54 Correct 1720 ms 980 KB Output is correct
55 Correct 1706 ms 852 KB Output is correct
56 Correct 31 ms 4052 KB Output is correct
57 Correct 62 ms 4156 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 0 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 34 ms 4240 KB Output is correct
64 Correct 42 ms 4496 KB Output is correct
65 Correct 41 ms 4624 KB Output is correct
66 Correct 40 ms 4624 KB Output is correct
67 Correct 0 ms 212 KB Output is correct
68 Correct 0 ms 340 KB Output is correct
69 Correct 1 ms 340 KB Output is correct
70 Correct 1 ms 340 KB Output is correct
71 Correct 2 ms 340 KB Output is correct
72 Correct 0 ms 340 KB Output is correct
73 Correct 1 ms 340 KB Output is correct
74 Correct 0 ms 340 KB Output is correct
75 Correct 1 ms 340 KB Output is correct
76 Correct 1 ms 340 KB Output is correct
77 Correct 1 ms 340 KB Output is correct
78 Correct 0 ms 340 KB Output is correct
79 Correct 1 ms 340 KB Output is correct
80 Correct 1 ms 340 KB Output is correct
81 Correct 1 ms 340 KB Output is correct
82 Correct 1 ms 340 KB Output is correct
83 Correct 0 ms 340 KB Output is correct
84 Correct 383 ms 852 KB Output is correct
85 Correct 403 ms 852 KB Output is correct
86 Correct 1648 ms 980 KB Output is correct
87 Correct 1523 ms 852 KB Output is correct
88 Correct 1514 ms 980 KB Output is correct
89 Correct 1616 ms 852 KB Output is correct
90 Correct 1734 ms 980 KB Output is correct
91 Correct 1752 ms 852 KB Output is correct
92 Correct 1708 ms 852 KB Output is correct
93 Correct 1695 ms 852 KB Output is correct
94 Correct 1716 ms 852 KB Output is correct
95 Correct 1688 ms 852 KB Output is correct
96 Execution timed out 2075 ms 8404 KB Time limit exceeded
97 Halted 0 ms 0 KB -