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Submission #1097466

# Submission time Handle Problem Language Result Execution time Memory
1097466 2024-10-07T12:43:33 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 64340 KB 
#include<bits/stdc++.h>
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")

#define MAXN 300007
using namespace std;

const int bucket_sz=500;

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 s[x] * ( 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){
    ans-=calc(x);
    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+=calc(x);
    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]++;
    change(pos[x],1);

    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]);
        change(pos[y],br[x]-br[y]);

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

void rem(int x){
    br[x]--;
    change(pos[x],-1);

    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]);
        change(pos[y],br[x]-br[y]);

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

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 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 468 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 3 ms 2140 KB Output is correct
4 Correct 34 ms 17152 KB Output is correct
5 Correct 65 ms 33800 KB Output is correct
6 Correct 98 ms 50488 KB Output is correct
7 Correct 96 ms 50256 KB Output is correct
8 Correct 97 ms 50260 KB Output is correct
9 Correct 98 ms 50444 KB Output is correct
10 Correct 97 ms 50264 KB Output is correct
11 Correct 97 ms 50256 KB Output is correct
12 Correct 98 ms 50260 KB Output is correct
13 Correct 100 ms 50256 KB Output is correct
14 Correct 97 ms 50452 KB Output is correct
15 Correct 97 ms 50412 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 3 ms 2140 KB Output is correct
4 Correct 34 ms 17152 KB Output is correct
5 Correct 65 ms 33800 KB Output is correct
6 Correct 98 ms 50488 KB Output is correct
7 Correct 96 ms 50256 KB Output is correct
8 Correct 97 ms 50260 KB Output is correct
9 Correct 98 ms 50444 KB Output is correct
10 Correct 97 ms 50264 KB Output is correct
11 Correct 97 ms 50256 KB Output is correct
12 Correct 98 ms 50260 KB Output is correct
13 Correct 100 ms 50256 KB Output is correct
14 Correct 97 ms 50452 KB Output is correct
15 Correct 97 ms 50412 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 4 ms 2136 KB Output is correct
19 Correct 34 ms 17236 KB Output is correct
20 Correct 68 ms 33880 KB Output is correct
21 Correct 105 ms 50524 KB Output is correct
22 Correct 104 ms 50420 KB Output is correct
23 Correct 103 ms 50520 KB Output is correct
24 Correct 104 ms 50512 KB Output is correct
25 Correct 104 ms 50556 KB Output is correct
26 Correct 108 ms 50516 KB Output is correct
27 Correct 108 ms 50376 KB Output is correct
28 Correct 113 ms 50504 KB Output is correct
29 Correct 108 ms 50532 KB Output is correct
30 Correct 107 ms 50516 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 3 ms 2140 KB Output is correct
4 Correct 34 ms 17152 KB Output is correct
5 Correct 65 ms 33800 KB Output is correct
6 Correct 98 ms 50488 KB Output is correct
7 Correct 96 ms 50256 KB Output is correct
8 Correct 97 ms 50260 KB Output is correct
9 Correct 98 ms 50444 KB Output is correct
10 Correct 97 ms 50264 KB Output is correct
11 Correct 97 ms 50256 KB Output is correct
12 Correct 98 ms 50260 KB Output is correct
13 Correct 100 ms 50256 KB Output is correct
14 Correct 97 ms 50452 KB Output is correct
15 Correct 97 ms 50412 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 4 ms 2136 KB Output is correct
19 Correct 34 ms 17236 KB Output is correct
20 Correct 68 ms 33880 KB Output is correct
21 Correct 105 ms 50524 KB Output is correct
22 Correct 104 ms 50420 KB Output is correct
23 Correct 103 ms 50520 KB Output is correct
24 Correct 104 ms 50512 KB Output is correct
25 Correct 104 ms 50556 KB Output is correct
26 Correct 108 ms 50516 KB Output is correct
27 Correct 108 ms 50376 KB Output is correct
28 Correct 113 ms 50504 KB Output is correct
29 Correct 108 ms 50532 KB Output is correct
30 Correct 107 ms 50516 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 680 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 4 ms 2140 KB Output is correct
35 Correct 5 ms 2140 KB Output is correct
36 Correct 5 ms 2140 KB Output is correct
37 Correct 23 ms 8796 KB Output is correct
38 Correct 23 ms 8820 KB Output is correct
39 Correct 43 ms 17244 KB Output is correct
40 Correct 86 ms 34136 KB Output is correct
41 Correct 131 ms 51024 KB Output is correct
42 Correct 134 ms 50932 KB Output is correct
43 Correct 133 ms 50768 KB Output is correct
44 Correct 133 ms 51024 KB Output is correct
45 Correct 137 ms 51024 KB Output is correct
46 Correct 135 ms 51016 KB Output is correct
47 Correct 127 ms 51024 KB Output is correct
48 Correct 132 ms 50772 KB Output is correct
49 Correct 139 ms 50768 KB Output is correct
50 Correct 131 ms 50780 KB Output is correct
51 Correct 136 ms 50940 KB Output is correct
52 Correct 132 ms 50812 KB Output is correct
53 Correct 130 ms 51024 KB Output is correct
54 Correct 130 ms 51024 KB Output is correct
55 Correct 129 ms 50920 KB Output is correct
56 Correct 132 ms 50852 KB Output is correct
57 Correct 135 ms 50772 KB Output is correct
58 Correct 133 ms 50924 KB Output is correct
59 Correct 132 ms 51024 KB Output is correct
60 Correct 143 ms 50772 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 468 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 3 ms 2140 KB Output is correct
14 Correct 34 ms 17152 KB Output is correct
15 Correct 65 ms 33800 KB Output is correct
16 Correct 98 ms 50488 KB Output is correct
17 Correct 96 ms 50256 KB Output is correct
18 Correct 97 ms 50260 KB Output is correct
19 Correct 98 ms 50444 KB Output is correct
20 Correct 97 ms 50264 KB Output is correct
21 Correct 97 ms 50256 KB Output is correct
22 Correct 98 ms 50260 KB Output is correct
23 Correct 100 ms 50256 KB Output is correct
24 Correct 97 ms 50452 KB Output is correct
25 Correct 97 ms 50412 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 4 ms 2136 KB Output is correct
29 Correct 34 ms 17236 KB Output is correct
30 Correct 68 ms 33880 KB Output is correct
31 Correct 105 ms 50524 KB Output is correct
32 Correct 104 ms 50420 KB Output is correct
33 Correct 103 ms 50520 KB Output is correct
34 Correct 104 ms 50512 KB Output is correct
35 Correct 104 ms 50556 KB Output is correct
36 Correct 108 ms 50516 KB Output is correct
37 Correct 108 ms 50376 KB Output is correct
38 Correct 113 ms 50504 KB Output is correct
39 Correct 108 ms 50532 KB Output is correct
40 Correct 107 ms 50516 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 680 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 4 ms 2140 KB Output is correct
45 Correct 5 ms 2140 KB Output is correct
46 Correct 5 ms 2140 KB Output is correct
47 Correct 23 ms 8796 KB Output is correct
48 Correct 23 ms 8820 KB Output is correct
49 Correct 43 ms 17244 KB Output is correct
50 Correct 86 ms 34136 KB Output is correct
51 Correct 131 ms 51024 KB Output is correct
52 Correct 134 ms 50932 KB Output is correct
53 Correct 133 ms 50768 KB Output is correct
54 Correct 133 ms 51024 KB Output is correct
55 Correct 137 ms 51024 KB Output is correct
56 Correct 135 ms 51016 KB Output is correct
57 Correct 127 ms 51024 KB Output is correct
58 Correct 132 ms 50772 KB Output is correct
59 Correct 139 ms 50768 KB Output is correct
60 Correct 131 ms 50780 KB Output is correct
61 Correct 136 ms 50940 KB Output is correct
62 Correct 132 ms 50812 KB Output is correct
63 Correct 130 ms 51024 KB Output is correct
64 Correct 130 ms 51024 KB Output is correct
65 Correct 129 ms 50920 KB Output is correct
66 Correct 132 ms 50852 KB Output is correct
67 Correct 135 ms 50772 KB Output is correct
68 Correct 133 ms 50924 KB Output is correct
69 Correct 132 ms 51024 KB Output is correct
70 Correct 143 ms 50772 KB Output is correct
71 Correct 25 ms 9084 KB Output is correct
72 Correct 25 ms 9052 KB Output is correct
73 Correct 25 ms 9052 KB Output is correct
74 Correct 27 ms 9052 KB Output is correct
75 Correct 26 ms 8928 KB Output is correct
76 Correct 60 ms 17500 KB Output is correct
77 Correct 55 ms 17496 KB Output is correct
78 Correct 58 ms 17500 KB Output is correct
79 Correct 61 ms 17488 KB Output is correct
80 Correct 58 ms 17524 KB Output is correct
81 Correct 147 ms 34648 KB Output is correct
82 Correct 133 ms 34900 KB Output is correct
83 Correct 141 ms 34852 KB Output is correct
84 Correct 130 ms 34644 KB Output is correct
85 Correct 128 ms 34644 KB Output is correct
86 Correct 158 ms 35412 KB Output is correct
87 Correct 155 ms 35480 KB Output is correct
88 Correct 158 ms 35412 KB Output is correct
89 Correct 163 ms 35352 KB Output is correct
90 Correct 160 ms 35484 KB Output is correct
91 Correct 341 ms 56404 KB Output is correct
92 Correct 340 ms 56396 KB Output is correct
93 Correct 346 ms 56376 KB Output is correct
94 Correct 360 ms 56404 KB Output is correct
95 Correct 340 ms 56496 KB Output is correct
96 Correct 433 ms 61612 KB Output is correct
97 Correct 410 ms 61524 KB Output is correct
98 Correct 441 ms 61520 KB Output is correct
99 Correct 449 ms 61556 KB Output is correct
100 Correct 402 ms 61544 KB Output is correct
101 Correct 432 ms 61528 KB Output is correct
102 Correct 420 ms 61756 KB Output is correct
103 Correct 432 ms 61884 KB Output is correct
104 Correct 424 ms 61588 KB Output is correct
105 Correct 420 ms 61520 KB Output is correct
106 Correct 426 ms 64312 KB Output is correct
107 Correct 410 ms 64080 KB Output is correct
108 Correct 426 ms 64080 KB Output is correct
109 Correct 416 ms 64084 KB Output is correct
110 Correct 465 ms 64312 KB Output is correct
111 Correct 432 ms 64084 KB Output is correct
112 Correct 420 ms 64080 KB Output is correct
113 Correct 421 ms 64340 KB Output is correct
114 Correct 461 ms 64080 KB Output is correct
115 Correct 467 ms 64084 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 468 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 3 ms 2140 KB Output is correct
14 Correct 34 ms 17152 KB Output is correct
15 Correct 65 ms 33800 KB Output is correct
16 Correct 98 ms 50488 KB Output is correct
17 Correct 96 ms 50256 KB Output is correct
18 Correct 97 ms 50260 KB Output is correct
19 Correct 98 ms 50444 KB Output is correct
20 Correct 97 ms 50264 KB Output is correct
21 Correct 97 ms 50256 KB Output is correct
22 Correct 98 ms 50260 KB Output is correct
23 Correct 100 ms 50256 KB Output is correct
24 Correct 97 ms 50452 KB Output is correct
25 Correct 97 ms 50412 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 4 ms 2136 KB Output is correct
29 Correct 34 ms 17236 KB Output is correct
30 Correct 68 ms 33880 KB Output is correct
31 Correct 105 ms 50524 KB Output is correct
32 Correct 104 ms 50420 KB Output is correct
33 Correct 103 ms 50520 KB Output is correct
34 Correct 104 ms 50512 KB Output is correct
35 Correct 104 ms 50556 KB Output is correct
36 Correct 108 ms 50516 KB Output is correct
37 Correct 108 ms 50376 KB Output is correct
38 Correct 113 ms 50504 KB Output is correct
39 Correct 108 ms 50532 KB Output is correct
40 Correct 107 ms 50516 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 680 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 4 ms 2140 KB Output is correct
45 Correct 5 ms 2140 KB Output is correct
46 Correct 5 ms 2140 KB Output is correct
47 Correct 23 ms 8796 KB Output is correct
48 Correct 23 ms 8820 KB Output is correct
49 Correct 43 ms 17244 KB Output is correct
50 Correct 86 ms 34136 KB Output is correct
51 Correct 131 ms 51024 KB Output is correct
52 Correct 134 ms 50932 KB Output is correct
53 Correct 133 ms 50768 KB Output is correct
54 Correct 133 ms 51024 KB Output is correct
55 Correct 137 ms 51024 KB Output is correct
56 Correct 135 ms 51016 KB Output is correct
57 Correct 127 ms 51024 KB Output is correct
58 Correct 132 ms 50772 KB Output is correct
59 Correct 139 ms 50768 KB Output is correct
60 Correct 131 ms 50780 KB Output is correct
61 Correct 136 ms 50940 KB Output is correct
62 Correct 132 ms 50812 KB Output is correct
63 Correct 130 ms 51024 KB Output is correct
64 Correct 130 ms 51024 KB Output is correct
65 Correct 129 ms 50920 KB Output is correct
66 Correct 132 ms 50852 KB Output is correct
67 Correct 135 ms 50772 KB Output is correct
68 Correct 133 ms 50924 KB Output is correct
69 Correct 132 ms 51024 KB Output is correct
70 Correct 143 ms 50772 KB Output is correct
71 Correct 25 ms 9084 KB Output is correct
72 Correct 25 ms 9052 KB Output is correct
73 Correct 25 ms 9052 KB Output is correct
74 Correct 27 ms 9052 KB Output is correct
75 Correct 26 ms 8928 KB Output is correct
76 Correct 60 ms 17500 KB Output is correct
77 Correct 55 ms 17496 KB Output is correct
78 Correct 58 ms 17500 KB Output is correct
79 Correct 61 ms 17488 KB Output is correct
80 Correct 58 ms 17524 KB Output is correct
81 Correct 147 ms 34648 KB Output is correct
82 Correct 133 ms 34900 KB Output is correct
83 Correct 141 ms 34852 KB Output is correct
84 Correct 130 ms 34644 KB Output is correct
85 Correct 128 ms 34644 KB Output is correct
86 Correct 158 ms 35412 KB Output is correct
87 Correct 155 ms 35480 KB Output is correct
88 Correct 158 ms 35412 KB Output is correct
89 Correct 163 ms 35352 KB Output is correct
90 Correct 160 ms 35484 KB Output is correct
91 Correct 341 ms 56404 KB Output is correct
92 Correct 340 ms 56396 KB Output is correct
93 Correct 346 ms 56376 KB Output is correct
94 Correct 360 ms 56404 KB Output is correct
95 Correct 340 ms 56496 KB Output is correct
96 Correct 433 ms 61612 KB Output is correct
97 Correct 410 ms 61524 KB Output is correct
98 Correct 441 ms 61520 KB Output is correct
99 Correct 449 ms 61556 KB Output is correct
100 Correct 402 ms 61544 KB Output is correct
101 Correct 432 ms 61528 KB Output is correct
102 Correct 420 ms 61756 KB Output is correct
103 Correct 432 ms 61884 KB Output is correct
104 Correct 424 ms 61588 KB Output is correct
105 Correct 420 ms 61520 KB Output is correct
106 Correct 426 ms 64312 KB Output is correct
107 Correct 410 ms 64080 KB Output is correct
108 Correct 426 ms 64080 KB Output is correct
109 Correct 416 ms 64084 KB Output is correct
110 Correct 465 ms 64312 KB Output is correct
111 Correct 432 ms 64084 KB Output is correct
112 Correct 420 ms 64080 KB Output is correct
113 Correct 421 ms 64340 KB Output is correct
114 Correct 461 ms 64080 KB Output is correct
115 Correct 467 ms 64084 KB Output is correct
116 Correct 1048 ms 3928 KB Output is correct
117 Correct 1225 ms 3924 KB Output is correct
118 Correct 1748 ms 10788 KB Output is correct
119 Correct 2605 ms 11016 KB Output is correct
120 Correct 3047 ms 11048 KB Output is correct
121 Correct 6372 ms 19480 KB Output is correct
122 Execution timed out 7032 ms 18904 KB Time limit exceeded
123 Halted 0 ms 0 KB -