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Submission #1097471

# Submission time Handle Problem Language Result Execution time Memory
1097471 2024-10-07T12:46:54 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 64316 KB 
#include<bits/stdc++.h>

#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 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){
    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]++;
    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 344 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 344 KB Output is correct
7 Correct 0 ms 348 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 604 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 632 KB Output is correct
3 Correct 4 ms 2216 KB Output is correct
4 Correct 31 ms 17136 KB Output is correct
5 Correct 62 ms 33776 KB Output is correct
6 Correct 94 ms 50316 KB Output is correct
7 Correct 97 ms 50388 KB Output is correct
8 Correct 93 ms 50268 KB Output is correct
9 Correct 94 ms 50260 KB Output is correct
10 Correct 95 ms 50484 KB Output is correct
11 Correct 96 ms 50440 KB Output is correct
12 Correct 94 ms 50260 KB Output is correct
13 Correct 97 ms 50468 KB Output is correct
14 Correct 94 ms 50268 KB Output is correct
15 Correct 114 ms 50256 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 632 KB Output is correct
3 Correct 4 ms 2216 KB Output is correct
4 Correct 31 ms 17136 KB Output is correct
5 Correct 62 ms 33776 KB Output is correct
6 Correct 94 ms 50316 KB Output is correct
7 Correct 97 ms 50388 KB Output is correct
8 Correct 93 ms 50268 KB Output is correct
9 Correct 94 ms 50260 KB Output is correct
10 Correct 95 ms 50484 KB Output is correct
11 Correct 96 ms 50440 KB Output is correct
12 Correct 94 ms 50260 KB Output is correct
13 Correct 97 ms 50468 KB Output is correct
14 Correct 94 ms 50268 KB Output is correct
15 Correct 114 ms 50256 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 2140 KB Output is correct
19 Correct 34 ms 17236 KB Output is correct
20 Correct 75 ms 34064 KB Output is correct
21 Correct 105 ms 50516 KB Output is correct
22 Correct 103 ms 50512 KB Output is correct
23 Correct 103 ms 50520 KB Output is correct
24 Correct 104 ms 50512 KB Output is correct
25 Correct 102 ms 50452 KB Output is correct
26 Correct 101 ms 50524 KB Output is correct
27 Correct 105 ms 50432 KB Output is correct
28 Correct 103 ms 50456 KB Output is correct
29 Correct 107 ms 50520 KB Output is correct
30 Correct 99 ms 50512 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 632 KB Output is correct
3 Correct 4 ms 2216 KB Output is correct
4 Correct 31 ms 17136 KB Output is correct
5 Correct 62 ms 33776 KB Output is correct
6 Correct 94 ms 50316 KB Output is correct
7 Correct 97 ms 50388 KB Output is correct
8 Correct 93 ms 50268 KB Output is correct
9 Correct 94 ms 50260 KB Output is correct
10 Correct 95 ms 50484 KB Output is correct
11 Correct 96 ms 50440 KB Output is correct
12 Correct 94 ms 50260 KB Output is correct
13 Correct 97 ms 50468 KB Output is correct
14 Correct 94 ms 50268 KB Output is correct
15 Correct 114 ms 50256 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 2140 KB Output is correct
19 Correct 34 ms 17236 KB Output is correct
20 Correct 75 ms 34064 KB Output is correct
21 Correct 105 ms 50516 KB Output is correct
22 Correct 103 ms 50512 KB Output is correct
23 Correct 103 ms 50520 KB Output is correct
24 Correct 104 ms 50512 KB Output is correct
25 Correct 102 ms 50452 KB Output is correct
26 Correct 101 ms 50524 KB Output is correct
27 Correct 105 ms 50432 KB Output is correct
28 Correct 103 ms 50456 KB Output is correct
29 Correct 107 ms 50520 KB Output is correct
30 Correct 99 ms 50512 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 860 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 4 ms 2140 KB Output is correct
35 Correct 4 ms 2140 KB Output is correct
36 Correct 4 ms 2140 KB Output is correct
37 Correct 19 ms 8772 KB Output is correct
38 Correct 20 ms 8796 KB Output is correct
39 Correct 40 ms 17232 KB Output is correct
40 Correct 78 ms 34136 KB Output is correct
41 Correct 117 ms 51012 KB Output is correct
42 Correct 118 ms 51024 KB Output is correct
43 Correct 122 ms 50776 KB Output is correct
44 Correct 118 ms 50780 KB Output is correct
45 Correct 128 ms 50804 KB Output is correct
46 Correct 122 ms 50956 KB Output is correct
47 Correct 123 ms 50768 KB Output is correct
48 Correct 127 ms 50764 KB Output is correct
49 Correct 124 ms 50928 KB Output is correct
50 Correct 124 ms 51024 KB Output is correct
51 Correct 126 ms 51028 KB Output is correct
52 Correct 124 ms 50772 KB Output is correct
53 Correct 128 ms 50768 KB Output is correct
54 Correct 122 ms 51012 KB Output is correct
55 Correct 123 ms 51024 KB Output is correct
56 Correct 139 ms 50852 KB Output is correct
57 Correct 123 ms 50932 KB Output is correct
58 Correct 121 ms 50944 KB Output is correct
59 Correct 120 ms 50828 KB Output is correct
60 Correct 130 ms 50768 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 344 KB Output is correct
7 Correct 0 ms 348 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 604 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 632 KB Output is correct
13 Correct 4 ms 2216 KB Output is correct
14 Correct 31 ms 17136 KB Output is correct
15 Correct 62 ms 33776 KB Output is correct
16 Correct 94 ms 50316 KB Output is correct
17 Correct 97 ms 50388 KB Output is correct
18 Correct 93 ms 50268 KB Output is correct
19 Correct 94 ms 50260 KB Output is correct
20 Correct 95 ms 50484 KB Output is correct
21 Correct 96 ms 50440 KB Output is correct
22 Correct 94 ms 50260 KB Output is correct
23 Correct 97 ms 50468 KB Output is correct
24 Correct 94 ms 50268 KB Output is correct
25 Correct 114 ms 50256 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 2140 KB Output is correct
29 Correct 34 ms 17236 KB Output is correct
30 Correct 75 ms 34064 KB Output is correct
31 Correct 105 ms 50516 KB Output is correct
32 Correct 103 ms 50512 KB Output is correct
33 Correct 103 ms 50520 KB Output is correct
34 Correct 104 ms 50512 KB Output is correct
35 Correct 102 ms 50452 KB Output is correct
36 Correct 101 ms 50524 KB Output is correct
37 Correct 105 ms 50432 KB Output is correct
38 Correct 103 ms 50456 KB Output is correct
39 Correct 107 ms 50520 KB Output is correct
40 Correct 99 ms 50512 KB Output is correct
41 Correct 1 ms 600 KB Output is correct
42 Correct 1 ms 860 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 4 ms 2140 KB Output is correct
45 Correct 4 ms 2140 KB Output is correct
46 Correct 4 ms 2140 KB Output is correct
47 Correct 19 ms 8772 KB Output is correct
48 Correct 20 ms 8796 KB Output is correct
49 Correct 40 ms 17232 KB Output is correct
50 Correct 78 ms 34136 KB Output is correct
51 Correct 117 ms 51012 KB Output is correct
52 Correct 118 ms 51024 KB Output is correct
53 Correct 122 ms 50776 KB Output is correct
54 Correct 118 ms 50780 KB Output is correct
55 Correct 128 ms 50804 KB Output is correct
56 Correct 122 ms 50956 KB Output is correct
57 Correct 123 ms 50768 KB Output is correct
58 Correct 127 ms 50764 KB Output is correct
59 Correct 124 ms 50928 KB Output is correct
60 Correct 124 ms 51024 KB Output is correct
61 Correct 126 ms 51028 KB Output is correct
62 Correct 124 ms 50772 KB Output is correct
63 Correct 128 ms 50768 KB Output is correct
64 Correct 122 ms 51012 KB Output is correct
65 Correct 123 ms 51024 KB Output is correct
66 Correct 139 ms 50852 KB Output is correct
67 Correct 123 ms 50932 KB Output is correct
68 Correct 121 ms 50944 KB Output is correct
69 Correct 120 ms 50828 KB Output is correct
70 Correct 130 ms 50768 KB Output is correct
71 Correct 24 ms 9048 KB Output is correct
72 Correct 24 ms 9052 KB Output is correct
73 Correct 24 ms 9048 KB Output is correct
74 Correct 25 ms 9052 KB Output is correct
75 Correct 25 ms 9048 KB Output is correct
76 Correct 58 ms 17744 KB Output is correct
77 Correct 57 ms 17500 KB Output is correct
78 Correct 54 ms 17500 KB Output is correct
79 Correct 51 ms 17496 KB Output is correct
80 Correct 51 ms 17496 KB Output is correct
81 Correct 122 ms 34652 KB Output is correct
82 Correct 127 ms 34644 KB Output is correct
83 Correct 125 ms 34644 KB Output is correct
84 Correct 128 ms 34852 KB Output is correct
85 Correct 124 ms 34656 KB Output is correct
86 Correct 145 ms 35368 KB Output is correct
87 Correct 156 ms 35484 KB Output is correct
88 Correct 167 ms 35480 KB Output is correct
89 Correct 157 ms 35488 KB Output is correct
90 Correct 156 ms 35408 KB Output is correct
91 Correct 342 ms 56188 KB Output is correct
92 Correct 371 ms 56224 KB Output is correct
93 Correct 381 ms 56428 KB Output is correct
94 Correct 380 ms 56192 KB Output is correct
95 Correct 389 ms 56436 KB Output is correct
96 Correct 485 ms 61760 KB Output is correct
97 Correct 454 ms 61764 KB Output is correct
98 Correct 477 ms 61760 KB Output is correct
99 Correct 492 ms 61580 KB Output is correct
100 Correct 450 ms 61756 KB Output is correct
101 Correct 431 ms 61680 KB Output is correct
102 Correct 495 ms 61580 KB Output is correct
103 Correct 496 ms 61696 KB Output is correct
104 Correct 447 ms 61776 KB Output is correct
105 Correct 471 ms 61524 KB Output is correct
106 Correct 480 ms 64232 KB Output is correct
107 Correct 491 ms 64080 KB Output is correct
108 Correct 453 ms 64312 KB Output is correct
109 Correct 462 ms 64312 KB Output is correct
110 Correct 423 ms 64084 KB Output is correct
111 Correct 421 ms 64080 KB Output is correct
112 Correct 433 ms 64084 KB Output is correct
113 Correct 440 ms 64316 KB Output is correct
114 Correct 432 ms 64260 KB Output is correct
115 Correct 415 ms 64312 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 344 KB Output is correct
7 Correct 0 ms 348 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 604 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 632 KB Output is correct
13 Correct 4 ms 2216 KB Output is correct
14 Correct 31 ms 17136 KB Output is correct
15 Correct 62 ms 33776 KB Output is correct
16 Correct 94 ms 50316 KB Output is correct
17 Correct 97 ms 50388 KB Output is correct
18 Correct 93 ms 50268 KB Output is correct
19 Correct 94 ms 50260 KB Output is correct
20 Correct 95 ms 50484 KB Output is correct
21 Correct 96 ms 50440 KB Output is correct
22 Correct 94 ms 50260 KB Output is correct
23 Correct 97 ms 50468 KB Output is correct
24 Correct 94 ms 50268 KB Output is correct
25 Correct 114 ms 50256 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 2140 KB Output is correct
29 Correct 34 ms 17236 KB Output is correct
30 Correct 75 ms 34064 KB Output is correct
31 Correct 105 ms 50516 KB Output is correct
32 Correct 103 ms 50512 KB Output is correct
33 Correct 103 ms 50520 KB Output is correct
34 Correct 104 ms 50512 KB Output is correct
35 Correct 102 ms 50452 KB Output is correct
36 Correct 101 ms 50524 KB Output is correct
37 Correct 105 ms 50432 KB Output is correct
38 Correct 103 ms 50456 KB Output is correct
39 Correct 107 ms 50520 KB Output is correct
40 Correct 99 ms 50512 KB Output is correct
41 Correct 1 ms 600 KB Output is correct
42 Correct 1 ms 860 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 4 ms 2140 KB Output is correct
45 Correct 4 ms 2140 KB Output is correct
46 Correct 4 ms 2140 KB Output is correct
47 Correct 19 ms 8772 KB Output is correct
48 Correct 20 ms 8796 KB Output is correct
49 Correct 40 ms 17232 KB Output is correct
50 Correct 78 ms 34136 KB Output is correct
51 Correct 117 ms 51012 KB Output is correct
52 Correct 118 ms 51024 KB Output is correct
53 Correct 122 ms 50776 KB Output is correct
54 Correct 118 ms 50780 KB Output is correct
55 Correct 128 ms 50804 KB Output is correct
56 Correct 122 ms 50956 KB Output is correct
57 Correct 123 ms 50768 KB Output is correct
58 Correct 127 ms 50764 KB Output is correct
59 Correct 124 ms 50928 KB Output is correct
60 Correct 124 ms 51024 KB Output is correct
61 Correct 126 ms 51028 KB Output is correct
62 Correct 124 ms 50772 KB Output is correct
63 Correct 128 ms 50768 KB Output is correct
64 Correct 122 ms 51012 KB Output is correct
65 Correct 123 ms 51024 KB Output is correct
66 Correct 139 ms 50852 KB Output is correct
67 Correct 123 ms 50932 KB Output is correct
68 Correct 121 ms 50944 KB Output is correct
69 Correct 120 ms 50828 KB Output is correct
70 Correct 130 ms 50768 KB Output is correct
71 Correct 24 ms 9048 KB Output is correct
72 Correct 24 ms 9052 KB Output is correct
73 Correct 24 ms 9048 KB Output is correct
74 Correct 25 ms 9052 KB Output is correct
75 Correct 25 ms 9048 KB Output is correct
76 Correct 58 ms 17744 KB Output is correct
77 Correct 57 ms 17500 KB Output is correct
78 Correct 54 ms 17500 KB Output is correct
79 Correct 51 ms 17496 KB Output is correct
80 Correct 51 ms 17496 KB Output is correct
81 Correct 122 ms 34652 KB Output is correct
82 Correct 127 ms 34644 KB Output is correct
83 Correct 125 ms 34644 KB Output is correct
84 Correct 128 ms 34852 KB Output is correct
85 Correct 124 ms 34656 KB Output is correct
86 Correct 145 ms 35368 KB Output is correct
87 Correct 156 ms 35484 KB Output is correct
88 Correct 167 ms 35480 KB Output is correct
89 Correct 157 ms 35488 KB Output is correct
90 Correct 156 ms 35408 KB Output is correct
91 Correct 342 ms 56188 KB Output is correct
92 Correct 371 ms 56224 KB Output is correct
93 Correct 381 ms 56428 KB Output is correct
94 Correct 380 ms 56192 KB Output is correct
95 Correct 389 ms 56436 KB Output is correct
96 Correct 485 ms 61760 KB Output is correct
97 Correct 454 ms 61764 KB Output is correct
98 Correct 477 ms 61760 KB Output is correct
99 Correct 492 ms 61580 KB Output is correct
100 Correct 450 ms 61756 KB Output is correct
101 Correct 431 ms 61680 KB Output is correct
102 Correct 495 ms 61580 KB Output is correct
103 Correct 496 ms 61696 KB Output is correct
104 Correct 447 ms 61776 KB Output is correct
105 Correct 471 ms 61524 KB Output is correct
106 Correct 480 ms 64232 KB Output is correct
107 Correct 491 ms 64080 KB Output is correct
108 Correct 453 ms 64312 KB Output is correct
109 Correct 462 ms 64312 KB Output is correct
110 Correct 423 ms 64084 KB Output is correct
111 Correct 421 ms 64080 KB Output is correct
112 Correct 433 ms 64084 KB Output is correct
113 Correct 440 ms 64316 KB Output is correct
114 Correct 432 ms 64260 KB Output is correct
115 Correct 415 ms 64312 KB Output is correct
116 Correct 970 ms 3924 KB Output is correct
117 Correct 1114 ms 4176 KB Output is correct
118 Correct 1614 ms 10968 KB Output is correct
119 Correct 2366 ms 11016 KB Output is correct
120 Correct 2723 ms 11080 KB Output is correct
121 Correct 5652 ms 19536 KB Output is correct
122 Correct 6804 ms 19632 KB Output is correct
123 Execution timed out 7067 ms 35824 KB Time limit exceeded
124 Halted 0 ms 0 KB -