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Submission #1097477

# Submission time Handle Problem Language Result Execution time Memory
1097477 2024-10-07T12:54:23 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 64148 KB 
#include<bits/stdc++.h>

#define MAXN 300007
using namespace std;

const int bucket_sz=400;

int n,a[MAXN],q;

int br[MAXN],maxs,l,r,p[MAXN],len,bucket[MAXN],pos[MAXN],nxt[MAXN][20],pr[MAXN][20],w[MAXN];
long long ans,mult,sum,s[MAXN],res[MAXN];

struct Fenwick{
    long long fenwick[MAXN];

    void update(int x,long long val){
        while(x<=maxs){
            fenwick[x]+=val;
            x+=(x & (-x));
        }
    }

    long long getsum(int x){
        long long res=0;
        
        while(x>=1){
            res+=fenwick[x];
            x^=(x & (-x));
        }

        return res;
    }
}pref,suff,sumpref,sumsuff;

struct query{
    int l,r,id;

    inline friend bool operator < (query fr,query sc){
        if(bucket[fr.l]!=bucket[sc.l])return bucket[fr.l]<bucket[sc.l];
        return fr.r<sc.r;
    }

}qs[MAXN];

long long calc(int x){
    return pref.getsum(x-1)-sumpref.getsum(x-1)*(maxs-x+1) + suff.getsum(maxs-x)-sumsuff.getsum(maxs-x)*x; 
}

void change(int x,long long val){
    if(val==0)return;

    long long mul=calc(x);

    ans-=s[x]*mul;
    ans-=s[x]*(s[x]-1)/2+s[x];

    s[x]+=val;

    sumpref.update(x,val);
    sumsuff.update(maxs-x+1,val);

    pref.update(x,(maxs-x+2)*val);
    suff.update(maxs-x+1,(x+1)*val);

    ans+=s[x]*mul;
    ans+=s[x]*(s[x]-1)/2+s[x];
}

void calcdp(){
    for(int j=1;j<20;j++){
        for(int i=1;i<=n;i++){
            nxt[i][j]=nxt[nxt[i][j-1]][j-1];
            pr[i][j]=pr[pr[i][j-1]][j-1];
        }
    }
}

void add(int x){
    br[x]++;

    int z=pos[x];
    for(int s=19;s>=0;s--){
        if(br[w[nxt[z][s]]]<br[x])z=nxt[z][s];
    }

    int y=w[z];

    if(x!=y){
        change(pos[x],br[y]-(br[x]-1));
        change(pos[y],br[x]-br[y]);

        swap(w[pos[x]],w[pos[y]]);
        swap(pos[x],pos[y]);
    }else change(pos[x],1);
}

void rem(int x){
    br[x]--;

    int z=pos[x];
    for(int s=19;s>=0;s--){
        if(pr[z][s]!=0 and br[w[pr[z][s]]]>br[x])z=pr[z][s];
    }

    int y=w[z];

    if(x!=y){
        change(pos[x],br[y]-(br[x]+1));
        change(pos[y],br[x]-br[y]);

        swap(w[pos[x]],w[pos[y]]);
        swap(pos[x],pos[y]);
    }else{
        change(pos[x],-1);
    }
}

int main(){

    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin>>n>>q;
    for(int i=1;i<=n;i++){
        cin>>a[i];
        maxs=max(maxs,a[i]);

        bucket[i]=i/bucket_sz;
    }

    for(int i=1;i<=maxs;i++)pos[i]=w[i]=i;

    for(int i=1;i<=maxs;i++){
        if(i<=maxs/2)nxt[i][0]=maxs-i+1;
        else nxt[i][0]=maxs-i+2;
    }
    if(maxs%2==1)nxt[maxs/2+1][0]=maxs/2+1;

    for(int i=1;i<=maxs;i++)pr[nxt[i][0]][0]=i;

    if(maxs%2==1)pr[maxs/2+1][0]=maxs/2+2;
    else pr[maxs/2+1][0]=maxs/2;
    pr[1][0]=0;

    calcdp();

    for(int i=1;i<=q;i++){
        cin>>qs[i].l>>qs[i].r;
        qs[i].id=i;
    }

    sort(qs+1,qs+q+1);

    l=1; r=0;
    for(int i=1;i<=q;i++){
        while(r<qs[i].r){
            r++; add(a[r]);
        }

        while(l>qs[i].l){
            l--; add(a[l]);
        }

        while(r>qs[i].r){
            rem(a[r]); r--;
        }

        while(l<qs[i].l){
            rem(a[l]); l++;
        }

        res[qs[i].id]=ans;
    }

    for(int i=1;i<=q;i++){
        cout<<res[i]<<"\n";
    }
    
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 464 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 356 KB Output is correct
10 Correct 1 ms 588 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 4 ms 1980 KB Output is correct
4 Correct 31 ms 17172 KB Output is correct
5 Correct 70 ms 33616 KB Output is correct
6 Correct 98 ms 50260 KB Output is correct
7 Correct 94 ms 50212 KB Output is correct
8 Correct 97 ms 50260 KB Output is correct
9 Correct 97 ms 50256 KB Output is correct
10 Correct 99 ms 50256 KB Output is correct
11 Correct 106 ms 50260 KB Output is correct
12 Correct 115 ms 50284 KB Output is correct
13 Correct 112 ms 50260 KB Output is correct
14 Correct 97 ms 50420 KB Output is correct
15 Correct 103 ms 50260 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 4 ms 1980 KB Output is correct
4 Correct 31 ms 17172 KB Output is correct
5 Correct 70 ms 33616 KB Output is correct
6 Correct 98 ms 50260 KB Output is correct
7 Correct 94 ms 50212 KB Output is correct
8 Correct 97 ms 50260 KB Output is correct
9 Correct 97 ms 50256 KB Output is correct
10 Correct 99 ms 50256 KB Output is correct
11 Correct 106 ms 50260 KB Output is correct
12 Correct 115 ms 50284 KB Output is correct
13 Correct 112 ms 50260 KB Output is correct
14 Correct 97 ms 50420 KB Output is correct
15 Correct 103 ms 50260 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 4 ms 2140 KB Output is correct
19 Correct 33 ms 17244 KB Output is correct
20 Correct 69 ms 33876 KB Output is correct
21 Correct 105 ms 50612 KB Output is correct
22 Correct 104 ms 50568 KB Output is correct
23 Correct 105 ms 50516 KB Output is correct
24 Correct 103 ms 50516 KB Output is correct
25 Correct 105 ms 50524 KB Output is correct
26 Correct 103 ms 50520 KB Output is correct
27 Correct 105 ms 50564 KB Output is correct
28 Correct 102 ms 50336 KB Output is correct
29 Correct 104 ms 50508 KB Output is correct
30 Correct 104 ms 50512 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 4 ms 1980 KB Output is correct
4 Correct 31 ms 17172 KB Output is correct
5 Correct 70 ms 33616 KB Output is correct
6 Correct 98 ms 50260 KB Output is correct
7 Correct 94 ms 50212 KB Output is correct
8 Correct 97 ms 50260 KB Output is correct
9 Correct 97 ms 50256 KB Output is correct
10 Correct 99 ms 50256 KB Output is correct
11 Correct 106 ms 50260 KB Output is correct
12 Correct 115 ms 50284 KB Output is correct
13 Correct 112 ms 50260 KB Output is correct
14 Correct 97 ms 50420 KB Output is correct
15 Correct 103 ms 50260 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 4 ms 2140 KB Output is correct
19 Correct 33 ms 17244 KB Output is correct
20 Correct 69 ms 33876 KB Output is correct
21 Correct 105 ms 50612 KB Output is correct
22 Correct 104 ms 50568 KB Output is correct
23 Correct 105 ms 50516 KB Output is correct
24 Correct 103 ms 50516 KB Output is correct
25 Correct 105 ms 50524 KB Output is correct
26 Correct 103 ms 50520 KB Output is correct
27 Correct 105 ms 50564 KB Output is correct
28 Correct 102 ms 50336 KB Output is correct
29 Correct 104 ms 50508 KB Output is correct
30 Correct 104 ms 50512 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 4 ms 2232 KB Output is correct
35 Correct 4 ms 2212 KB Output is correct
36 Correct 5 ms 2136 KB Output is correct
37 Correct 18 ms 8988 KB Output is correct
38 Correct 19 ms 8796 KB Output is correct
39 Correct 49 ms 17336 KB Output is correct
40 Correct 79 ms 34136 KB Output is correct
41 Correct 119 ms 51008 KB Output is correct
42 Correct 121 ms 51280 KB Output is correct
43 Correct 122 ms 50916 KB Output is correct
44 Correct 121 ms 51020 KB Output is correct
45 Correct 116 ms 50880 KB Output is correct
46 Correct 120 ms 50868 KB Output is correct
47 Correct 117 ms 51024 KB Output is correct
48 Correct 121 ms 50804 KB Output is correct
49 Correct 121 ms 50904 KB Output is correct
50 Correct 117 ms 50932 KB Output is correct
51 Correct 116 ms 50772 KB Output is correct
52 Correct 117 ms 50780 KB Output is correct
53 Correct 116 ms 51024 KB Output is correct
54 Correct 117 ms 50844 KB Output is correct
55 Correct 119 ms 50772 KB Output is correct
56 Correct 115 ms 50820 KB Output is correct
57 Correct 113 ms 50924 KB Output is correct
58 Correct 117 ms 51024 KB Output is correct
59 Correct 119 ms 50924 KB Output is correct
60 Correct 115 ms 50936 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 464 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 356 KB Output is correct
10 Correct 1 ms 588 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 4 ms 1980 KB Output is correct
14 Correct 31 ms 17172 KB Output is correct
15 Correct 70 ms 33616 KB Output is correct
16 Correct 98 ms 50260 KB Output is correct
17 Correct 94 ms 50212 KB Output is correct
18 Correct 97 ms 50260 KB Output is correct
19 Correct 97 ms 50256 KB Output is correct
20 Correct 99 ms 50256 KB Output is correct
21 Correct 106 ms 50260 KB Output is correct
22 Correct 115 ms 50284 KB Output is correct
23 Correct 112 ms 50260 KB Output is correct
24 Correct 97 ms 50420 KB Output is correct
25 Correct 103 ms 50260 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 4 ms 2140 KB Output is correct
29 Correct 33 ms 17244 KB Output is correct
30 Correct 69 ms 33876 KB Output is correct
31 Correct 105 ms 50612 KB Output is correct
32 Correct 104 ms 50568 KB Output is correct
33 Correct 105 ms 50516 KB Output is correct
34 Correct 103 ms 50516 KB Output is correct
35 Correct 105 ms 50524 KB Output is correct
36 Correct 103 ms 50520 KB Output is correct
37 Correct 105 ms 50564 KB Output is correct
38 Correct 102 ms 50336 KB Output is correct
39 Correct 104 ms 50508 KB Output is correct
40 Correct 104 ms 50512 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 604 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 4 ms 2232 KB Output is correct
45 Correct 4 ms 2212 KB Output is correct
46 Correct 5 ms 2136 KB Output is correct
47 Correct 18 ms 8988 KB Output is correct
48 Correct 19 ms 8796 KB Output is correct
49 Correct 49 ms 17336 KB Output is correct
50 Correct 79 ms 34136 KB Output is correct
51 Correct 119 ms 51008 KB Output is correct
52 Correct 121 ms 51280 KB Output is correct
53 Correct 122 ms 50916 KB Output is correct
54 Correct 121 ms 51020 KB Output is correct
55 Correct 116 ms 50880 KB Output is correct
56 Correct 120 ms 50868 KB Output is correct
57 Correct 117 ms 51024 KB Output is correct
58 Correct 121 ms 50804 KB Output is correct
59 Correct 121 ms 50904 KB Output is correct
60 Correct 117 ms 50932 KB Output is correct
61 Correct 116 ms 50772 KB Output is correct
62 Correct 117 ms 50780 KB Output is correct
63 Correct 116 ms 51024 KB Output is correct
64 Correct 117 ms 50844 KB Output is correct
65 Correct 119 ms 50772 KB Output is correct
66 Correct 115 ms 50820 KB Output is correct
67 Correct 113 ms 50924 KB Output is correct
68 Correct 117 ms 51024 KB Output is correct
69 Correct 119 ms 50924 KB Output is correct
70 Correct 115 ms 50936 KB Output is correct
71 Correct 21 ms 9052 KB Output is correct
72 Correct 22 ms 9052 KB Output is correct
73 Correct 20 ms 8928 KB Output is correct
74 Correct 22 ms 9052 KB Output is correct
75 Correct 20 ms 9080 KB Output is correct
76 Correct 46 ms 17648 KB Output is correct
77 Correct 47 ms 17596 KB Output is correct
78 Correct 48 ms 17752 KB Output is correct
79 Correct 46 ms 17456 KB Output is correct
80 Correct 47 ms 17500 KB Output is correct
81 Correct 98 ms 34644 KB Output is correct
82 Correct 100 ms 34728 KB Output is correct
83 Correct 108 ms 34648 KB Output is correct
84 Correct 103 ms 34640 KB Output is correct
85 Correct 104 ms 34644 KB Output is correct
86 Correct 115 ms 35416 KB Output is correct
87 Correct 117 ms 35364 KB Output is correct
88 Correct 119 ms 35408 KB Output is correct
89 Correct 119 ms 35404 KB Output is correct
90 Correct 120 ms 35364 KB Output is correct
91 Correct 282 ms 56400 KB Output is correct
92 Correct 251 ms 56404 KB Output is correct
93 Correct 235 ms 56376 KB Output is correct
94 Correct 238 ms 56580 KB Output is correct
95 Correct 241 ms 56472 KB Output is correct
96 Correct 286 ms 61580 KB Output is correct
97 Correct 296 ms 61564 KB Output is correct
98 Correct 295 ms 61444 KB Output is correct
99 Correct 325 ms 61776 KB Output is correct
100 Correct 313 ms 61520 KB Output is correct
101 Correct 330 ms 61520 KB Output is correct
102 Correct 319 ms 61524 KB Output is correct
103 Correct 316 ms 61524 KB Output is correct
104 Correct 306 ms 61500 KB Output is correct
105 Correct 318 ms 61524 KB Output is correct
106 Correct 328 ms 64100 KB Output is correct
107 Correct 331 ms 64080 KB Output is correct
108 Correct 359 ms 64080 KB Output is correct
109 Correct 334 ms 64148 KB Output is correct
110 Correct 339 ms 64036 KB Output is correct
111 Correct 332 ms 64084 KB Output is correct
112 Correct 326 ms 64080 KB Output is correct
113 Correct 324 ms 64084 KB Output is correct
114 Correct 330 ms 64080 KB Output is correct
115 Correct 347 ms 64080 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 464 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 356 KB Output is correct
10 Correct 1 ms 588 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 4 ms 1980 KB Output is correct
14 Correct 31 ms 17172 KB Output is correct
15 Correct 70 ms 33616 KB Output is correct
16 Correct 98 ms 50260 KB Output is correct
17 Correct 94 ms 50212 KB Output is correct
18 Correct 97 ms 50260 KB Output is correct
19 Correct 97 ms 50256 KB Output is correct
20 Correct 99 ms 50256 KB Output is correct
21 Correct 106 ms 50260 KB Output is correct
22 Correct 115 ms 50284 KB Output is correct
23 Correct 112 ms 50260 KB Output is correct
24 Correct 97 ms 50420 KB Output is correct
25 Correct 103 ms 50260 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 4 ms 2140 KB Output is correct
29 Correct 33 ms 17244 KB Output is correct
30 Correct 69 ms 33876 KB Output is correct
31 Correct 105 ms 50612 KB Output is correct
32 Correct 104 ms 50568 KB Output is correct
33 Correct 105 ms 50516 KB Output is correct
34 Correct 103 ms 50516 KB Output is correct
35 Correct 105 ms 50524 KB Output is correct
36 Correct 103 ms 50520 KB Output is correct
37 Correct 105 ms 50564 KB Output is correct
38 Correct 102 ms 50336 KB Output is correct
39 Correct 104 ms 50508 KB Output is correct
40 Correct 104 ms 50512 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 604 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 4 ms 2232 KB Output is correct
45 Correct 4 ms 2212 KB Output is correct
46 Correct 5 ms 2136 KB Output is correct
47 Correct 18 ms 8988 KB Output is correct
48 Correct 19 ms 8796 KB Output is correct
49 Correct 49 ms 17336 KB Output is correct
50 Correct 79 ms 34136 KB Output is correct
51 Correct 119 ms 51008 KB Output is correct
52 Correct 121 ms 51280 KB Output is correct
53 Correct 122 ms 50916 KB Output is correct
54 Correct 121 ms 51020 KB Output is correct
55 Correct 116 ms 50880 KB Output is correct
56 Correct 120 ms 50868 KB Output is correct
57 Correct 117 ms 51024 KB Output is correct
58 Correct 121 ms 50804 KB Output is correct
59 Correct 121 ms 50904 KB Output is correct
60 Correct 117 ms 50932 KB Output is correct
61 Correct 116 ms 50772 KB Output is correct
62 Correct 117 ms 50780 KB Output is correct
63 Correct 116 ms 51024 KB Output is correct
64 Correct 117 ms 50844 KB Output is correct
65 Correct 119 ms 50772 KB Output is correct
66 Correct 115 ms 50820 KB Output is correct
67 Correct 113 ms 50924 KB Output is correct
68 Correct 117 ms 51024 KB Output is correct
69 Correct 119 ms 50924 KB Output is correct
70 Correct 115 ms 50936 KB Output is correct
71 Correct 21 ms 9052 KB Output is correct
72 Correct 22 ms 9052 KB Output is correct
73 Correct 20 ms 8928 KB Output is correct
74 Correct 22 ms 9052 KB Output is correct
75 Correct 20 ms 9080 KB Output is correct
76 Correct 46 ms 17648 KB Output is correct
77 Correct 47 ms 17596 KB Output is correct
78 Correct 48 ms 17752 KB Output is correct
79 Correct 46 ms 17456 KB Output is correct
80 Correct 47 ms 17500 KB Output is correct
81 Correct 98 ms 34644 KB Output is correct
82 Correct 100 ms 34728 KB Output is correct
83 Correct 108 ms 34648 KB Output is correct
84 Correct 103 ms 34640 KB Output is correct
85 Correct 104 ms 34644 KB Output is correct
86 Correct 115 ms 35416 KB Output is correct
87 Correct 117 ms 35364 KB Output is correct
88 Correct 119 ms 35408 KB Output is correct
89 Correct 119 ms 35404 KB Output is correct
90 Correct 120 ms 35364 KB Output is correct
91 Correct 282 ms 56400 KB Output is correct
92 Correct 251 ms 56404 KB Output is correct
93 Correct 235 ms 56376 KB Output is correct
94 Correct 238 ms 56580 KB Output is correct
95 Correct 241 ms 56472 KB Output is correct
96 Correct 286 ms 61580 KB Output is correct
97 Correct 296 ms 61564 KB Output is correct
98 Correct 295 ms 61444 KB Output is correct
99 Correct 325 ms 61776 KB Output is correct
100 Correct 313 ms 61520 KB Output is correct
101 Correct 330 ms 61520 KB Output is correct
102 Correct 319 ms 61524 KB Output is correct
103 Correct 316 ms 61524 KB Output is correct
104 Correct 306 ms 61500 KB Output is correct
105 Correct 318 ms 61524 KB Output is correct
106 Correct 328 ms 64100 KB Output is correct
107 Correct 331 ms 64080 KB Output is correct
108 Correct 359 ms 64080 KB Output is correct
109 Correct 334 ms 64148 KB Output is correct
110 Correct 339 ms 64036 KB Output is correct
111 Correct 332 ms 64084 KB Output is correct
112 Correct 326 ms 64080 KB Output is correct
113 Correct 324 ms 64084 KB Output is correct
114 Correct 330 ms 64080 KB Output is correct
115 Correct 347 ms 64080 KB Output is correct
116 Correct 775 ms 3920 KB Output is correct
117 Correct 855 ms 3920 KB Output is correct
118 Correct 1506 ms 10836 KB Output is correct
119 Correct 1906 ms 10836 KB Output is correct
120 Correct 2102 ms 11052 KB Output is correct
121 Correct 5191 ms 19476 KB Output is correct
122 Correct 5903 ms 19536 KB Output is correct
123 Execution timed out 7071 ms 35664 KB Time limit exceeded
124 Halted 0 ms 0 KB -