Submission #598800

# Submission time Handle Problem Language Result Execution time Memory
598800 2022-07-19T05:44:51 Z zaneyu Boarding Passes (BOI22_passes) C++14
100 / 100
464 ms 24908 KB
/*input
HEHEHEHIHILOL
*/
#include<bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<long long,null_type,less_equal<long long>,rb_tree_tag,tree_order_statistics_node_update> indexed_set;
//#pragma GCC target("avx2")
//order_of_key #of elements less than x
// find_by_order kth element
using ll=long long;
using ld=long double;
using pii=pair<ll,int>;
#define f first
#define s second
#define pb push_back
#define REP(i,n) for(int i=0;i<n;i++)
#define REP1(i,n) for(ll i=1;i<=n;i++)
#define FILL(n,x) memset(n,x,sizeof(n))
#define ALL(_a) _a.begin(),_a.end()
#define sz(x) (int)x.size()
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()),c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
#define GET(v,x) lower_bound(ALL(v),x)-v.begin()
const ll maxn=1e5+5;
const ll maxlg=__lg(maxn)+2;
const ll INF64=4e18;
const int INF=0x3f3f3f3f;
const ll MOD=1e9+7;
const ld PI=acos(-1);
const ld eps=1e-6;
#define lowb(x) x&(-x)
#define MNTO(x,y) x=min(x,(__typeof__(x))y)
#define MXTO(x,y) x=max(x,(__typeof__(x))y)
template<typename T1,typename T2>
ostream& operator<<(ostream& out,pair<T1,T2> P){
    out<<P.f<<' '<<P.s;
    return out;
}
template<typename T>
ostream& operator<<(ostream& out,vector<T> V){
    REP(i,sz(V)) out<<V[i]<<((i!=sz(V)-1)?"\n":"\n");
    return out;
}
ll mult(ll a,ll b){
    return a*b%MOD;
}
ll mypow(ll a,ll b){
    a%=MOD;
    if(a==0) return 0;
    if(b<=0) return 1;
    ll res=1LL;
    while(b){
        if(b&1) res=(res*a)%MOD;
        a=(a*a)%MOD;
        b>>=1;
    }
    return res;
}
const int cc=15;
ll dp[(1<<cc)];
ll pf[20][maxn],sf[20][maxn];
vector<int> v[20];
ll get(int m,int i,ll p){
    ll tot=0;
    REP(j,cc){
        if(m&(1<<j)){
            tot+=pf[j][v[i][p]]+sf[j][v[i][p+1]];
        }
    }
    ll k=sz(v[i])-p-2;
    return tot*2+p*(p-1)/2+k*(k-1)/2;
}
int main(){
    ios::sync_with_stdio(false),cin.tie(0);
    string s;
    cin>>s;
    int n=sz(s);
    REP(i,cc) v[i].pb(0);
    REP(i,n) v[s[i]-'A'].pb(i+1);
    REP(i,cc) v[i].pb(n+1);
    REP(i,cc){
        REP1(j,n){
            pf[i][j]=lower_bound(ALL(v[i]),j)-v[i].begin()-1;
            sf[i][j]=sz(v[i])-pf[i][j]-2;
        }
    }
    REP(k,cc){
        REP(i,cc){
            REP1(j,sz(v[i])-1){
                pf[k][v[i][j]]+=pf[k][v[i][j-1]];
            }
            for(int j=sz(v[i])-2;j>=0;j--){
                sf[k][v[i][j]]+=sf[k][v[i][j+1]];
            }
        }
    }
    REP1(i,(1<<cc)-1){
        dp[i]=INF64;
        REP(j,cc){
            if(i&(1<<j)){
                if(sz(v[j])==2){
                    MNTO(dp[i],dp[i^(1<<j)]);
                    continue;
                }
                int z=(i^(1<<j));
                int l=0,r=sz(v[j])-2;
                while(r-l>2){
                    int m1=(r-l)/3+l,m2=r-(r-l)/3;
                    if(get(z,j,m1)>get(z,j,m2)) l=m1+1;
                    else r=m2;
                }
                ll ans=INF64;
                for(int k=l;k<=r;k++) MNTO(ans,get(z,j,k));
                MNTO(dp[i],dp[i^(1<<j)]+ans);
            }
        }
    }
    ll z=dp[(1<<cc)-1];
    cout<<z/2;
    if(z%2) cout<<".5";
}
# Verdict Execution time Memory Grader output
1 Correct 24 ms 852 KB Output is correct
2 Correct 5 ms 704 KB Output is correct
3 Correct 5 ms 696 KB Output is correct
4 Correct 8 ms 724 KB Output is correct
5 Correct 21 ms 864 KB Output is correct
6 Correct 54 ms 19788 KB Output is correct
7 Correct 60 ms 23420 KB Output is correct
8 Correct 60 ms 24792 KB Output is correct
9 Correct 64 ms 24836 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 744 KB Output is correct
2 Correct 15 ms 724 KB Output is correct
3 Correct 54 ms 708 KB Output is correct
4 Correct 52 ms 644 KB Output is correct
5 Correct 28 ms 748 KB Output is correct
6 Correct 18 ms 724 KB Output is correct
7 Correct 53 ms 680 KB Output is correct
8 Correct 36 ms 716 KB Output is correct
9 Correct 33 ms 700 KB Output is correct
10 Correct 31 ms 720 KB Output is correct
11 Correct 28 ms 712 KB Output is correct
12 Correct 30 ms 628 KB Output is correct
13 Correct 32 ms 696 KB Output is correct
14 Correct 37 ms 648 KB Output is correct
15 Correct 36 ms 732 KB Output is correct
16 Correct 36 ms 716 KB Output is correct
17 Correct 32 ms 716 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 744 KB Output is correct
2 Correct 15 ms 724 KB Output is correct
3 Correct 54 ms 708 KB Output is correct
4 Correct 52 ms 644 KB Output is correct
5 Correct 28 ms 748 KB Output is correct
6 Correct 18 ms 724 KB Output is correct
7 Correct 53 ms 680 KB Output is correct
8 Correct 36 ms 716 KB Output is correct
9 Correct 33 ms 700 KB Output is correct
10 Correct 31 ms 720 KB Output is correct
11 Correct 28 ms 712 KB Output is correct
12 Correct 30 ms 628 KB Output is correct
13 Correct 32 ms 696 KB Output is correct
14 Correct 37 ms 648 KB Output is correct
15 Correct 36 ms 732 KB Output is correct
16 Correct 36 ms 716 KB Output is correct
17 Correct 32 ms 716 KB Output is correct
18 Correct 9 ms 724 KB Output is correct
19 Correct 15 ms 644 KB Output is correct
20 Correct 53 ms 664 KB Output is correct
21 Correct 53 ms 696 KB Output is correct
22 Correct 25 ms 656 KB Output is correct
23 Correct 17 ms 628 KB Output is correct
24 Correct 51 ms 704 KB Output is correct
25 Correct 30 ms 628 KB Output is correct
26 Correct 30 ms 716 KB Output is correct
27 Correct 31 ms 716 KB Output is correct
28 Correct 29 ms 692 KB Output is correct
29 Correct 33 ms 704 KB Output is correct
30 Correct 34 ms 728 KB Output is correct
31 Correct 31 ms 636 KB Output is correct
32 Correct 34 ms 656 KB Output is correct
33 Correct 30 ms 716 KB Output is correct
34 Correct 31 ms 688 KB Output is correct
35 Correct 27 ms 3152 KB Output is correct
36 Correct 30 ms 3204 KB Output is correct
37 Correct 181 ms 3140 KB Output is correct
38 Correct 187 ms 3240 KB Output is correct
39 Correct 45 ms 3136 KB Output is correct
40 Correct 176 ms 3100 KB Output is correct
41 Correct 167 ms 3188 KB Output is correct
42 Correct 173 ms 3152 KB Output is correct
43 Correct 189 ms 3108 KB Output is correct
44 Correct 158 ms 3028 KB Output is correct
45 Correct 160 ms 3184 KB Output is correct
46 Correct 156 ms 3040 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 24 ms 852 KB Output is correct
2 Correct 5 ms 704 KB Output is correct
3 Correct 5 ms 696 KB Output is correct
4 Correct 8 ms 724 KB Output is correct
5 Correct 21 ms 864 KB Output is correct
6 Correct 54 ms 19788 KB Output is correct
7 Correct 60 ms 23420 KB Output is correct
8 Correct 60 ms 24792 KB Output is correct
9 Correct 64 ms 24836 KB Output is correct
10 Correct 9 ms 744 KB Output is correct
11 Correct 15 ms 724 KB Output is correct
12 Correct 54 ms 708 KB Output is correct
13 Correct 52 ms 644 KB Output is correct
14 Correct 28 ms 748 KB Output is correct
15 Correct 18 ms 724 KB Output is correct
16 Correct 53 ms 680 KB Output is correct
17 Correct 36 ms 716 KB Output is correct
18 Correct 33 ms 700 KB Output is correct
19 Correct 31 ms 720 KB Output is correct
20 Correct 28 ms 712 KB Output is correct
21 Correct 30 ms 628 KB Output is correct
22 Correct 32 ms 696 KB Output is correct
23 Correct 37 ms 648 KB Output is correct
24 Correct 36 ms 732 KB Output is correct
25 Correct 36 ms 716 KB Output is correct
26 Correct 32 ms 716 KB Output is correct
27 Correct 9 ms 724 KB Output is correct
28 Correct 15 ms 644 KB Output is correct
29 Correct 53 ms 664 KB Output is correct
30 Correct 53 ms 696 KB Output is correct
31 Correct 25 ms 656 KB Output is correct
32 Correct 17 ms 628 KB Output is correct
33 Correct 51 ms 704 KB Output is correct
34 Correct 30 ms 628 KB Output is correct
35 Correct 30 ms 716 KB Output is correct
36 Correct 31 ms 716 KB Output is correct
37 Correct 29 ms 692 KB Output is correct
38 Correct 33 ms 704 KB Output is correct
39 Correct 34 ms 728 KB Output is correct
40 Correct 31 ms 636 KB Output is correct
41 Correct 34 ms 656 KB Output is correct
42 Correct 30 ms 716 KB Output is correct
43 Correct 31 ms 688 KB Output is correct
44 Correct 27 ms 3152 KB Output is correct
45 Correct 30 ms 3204 KB Output is correct
46 Correct 181 ms 3140 KB Output is correct
47 Correct 187 ms 3240 KB Output is correct
48 Correct 45 ms 3136 KB Output is correct
49 Correct 176 ms 3100 KB Output is correct
50 Correct 167 ms 3188 KB Output is correct
51 Correct 173 ms 3152 KB Output is correct
52 Correct 189 ms 3108 KB Output is correct
53 Correct 158 ms 3028 KB Output is correct
54 Correct 160 ms 3184 KB Output is correct
55 Correct 156 ms 3040 KB Output is correct
56 Correct 23 ms 740 KB Output is correct
57 Correct 37 ms 724 KB Output is correct
58 Correct 26 ms 912 KB Output is correct
59 Correct 5 ms 724 KB Output is correct
60 Correct 5 ms 724 KB Output is correct
61 Correct 8 ms 712 KB Output is correct
62 Correct 21 ms 980 KB Output is correct
63 Correct 55 ms 19876 KB Output is correct
64 Correct 69 ms 23432 KB Output is correct
65 Correct 58 ms 24864 KB Output is correct
66 Correct 62 ms 24792 KB Output is correct
67 Correct 10 ms 684 KB Output is correct
68 Correct 19 ms 660 KB Output is correct
69 Correct 52 ms 704 KB Output is correct
70 Correct 49 ms 688 KB Output is correct
71 Correct 25 ms 724 KB Output is correct
72 Correct 18 ms 724 KB Output is correct
73 Correct 57 ms 740 KB Output is correct
74 Correct 33 ms 708 KB Output is correct
75 Correct 36 ms 716 KB Output is correct
76 Correct 35 ms 800 KB Output is correct
77 Correct 30 ms 692 KB Output is correct
78 Correct 31 ms 668 KB Output is correct
79 Correct 35 ms 844 KB Output is correct
80 Correct 31 ms 712 KB Output is correct
81 Correct 29 ms 724 KB Output is correct
82 Correct 31 ms 716 KB Output is correct
83 Correct 30 ms 700 KB Output is correct
84 Correct 30 ms 3152 KB Output is correct
85 Correct 36 ms 3188 KB Output is correct
86 Correct 180 ms 3276 KB Output is correct
87 Correct 155 ms 3124 KB Output is correct
88 Correct 43 ms 3184 KB Output is correct
89 Correct 170 ms 3060 KB Output is correct
90 Correct 165 ms 3092 KB Output is correct
91 Correct 160 ms 3108 KB Output is correct
92 Correct 167 ms 3124 KB Output is correct
93 Correct 210 ms 3096 KB Output is correct
94 Correct 157 ms 3036 KB Output is correct
95 Correct 157 ms 3020 KB Output is correct
96 Correct 464 ms 24808 KB Output is correct
97 Correct 56 ms 700 KB Output is correct
98 Correct 413 ms 24768 KB Output is correct
99 Correct 92 ms 24896 KB Output is correct
100 Correct 35 ms 692 KB Output is correct
101 Correct 394 ms 24808 KB Output is correct
102 Correct 386 ms 24864 KB Output is correct
103 Correct 407 ms 24864 KB Output is correct
104 Correct 404 ms 24864 KB Output is correct
105 Correct 402 ms 24820 KB Output is correct
106 Correct 362 ms 24832 KB Output is correct
107 Correct 369 ms 24852 KB Output is correct
108 Correct 347 ms 24908 KB Output is correct
109 Correct 402 ms 24804 KB Output is correct