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Submission #1097453

# Submission time Handle Problem Language Result Execution time Memory
1097453 2024-10-07T12:24:01 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 1153 ms 64444 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 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;

    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 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 464 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 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 1 ms 344 KB Output is correct
2 Correct 1 ms 600 KB Output is correct
3 Correct 4 ms 2140 KB Output is correct
4 Correct 33 ms 17160 KB Output is correct
5 Correct 63 ms 33628 KB Output is correct
6 Correct 105 ms 50260 KB Output is correct
7 Correct 104 ms 50256 KB Output is correct
8 Correct 100 ms 50264 KB Output is correct
9 Correct 106 ms 50260 KB Output is correct
10 Correct 108 ms 50476 KB Output is correct
11 Correct 103 ms 50268 KB Output is correct
12 Correct 105 ms 50256 KB Output is correct
13 Correct 104 ms 50268 KB Output is correct
14 Correct 105 ms 50256 KB Output is correct
15 Correct 103 ms 50436 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 600 KB Output is correct
3 Correct 4 ms 2140 KB Output is correct
4 Correct 33 ms 17160 KB Output is correct
5 Correct 63 ms 33628 KB Output is correct
6 Correct 105 ms 50260 KB Output is correct
7 Correct 104 ms 50256 KB Output is correct
8 Correct 100 ms 50264 KB Output is correct
9 Correct 106 ms 50260 KB Output is correct
10 Correct 108 ms 50476 KB Output is correct
11 Correct 103 ms 50268 KB Output is correct
12 Correct 105 ms 50256 KB Output is correct
13 Correct 104 ms 50268 KB Output is correct
14 Correct 105 ms 50256 KB Output is correct
15 Correct 103 ms 50436 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 2228 KB Output is correct
19 Correct 35 ms 17244 KB Output is correct
20 Correct 70 ms 33896 KB Output is correct
21 Correct 106 ms 50516 KB Output is correct
22 Correct 109 ms 50572 KB Output is correct
23 Correct 109 ms 50616 KB Output is correct
24 Correct 101 ms 50512 KB Output is correct
25 Correct 123 ms 50456 KB Output is correct
26 Correct 105 ms 50516 KB Output is correct
27 Correct 109 ms 50516 KB Output is correct
28 Correct 112 ms 50508 KB Output is correct
29 Correct 110 ms 50512 KB Output is correct
30 Correct 105 ms 50596 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 600 KB Output is correct
3 Correct 4 ms 2140 KB Output is correct
4 Correct 33 ms 17160 KB Output is correct
5 Correct 63 ms 33628 KB Output is correct
6 Correct 105 ms 50260 KB Output is correct
7 Correct 104 ms 50256 KB Output is correct
8 Correct 100 ms 50264 KB Output is correct
9 Correct 106 ms 50260 KB Output is correct
10 Correct 108 ms 50476 KB Output is correct
11 Correct 103 ms 50268 KB Output is correct
12 Correct 105 ms 50256 KB Output is correct
13 Correct 104 ms 50268 KB Output is correct
14 Correct 105 ms 50256 KB Output is correct
15 Correct 103 ms 50436 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 2228 KB Output is correct
19 Correct 35 ms 17244 KB Output is correct
20 Correct 70 ms 33896 KB Output is correct
21 Correct 106 ms 50516 KB Output is correct
22 Correct 109 ms 50572 KB Output is correct
23 Correct 109 ms 50616 KB Output is correct
24 Correct 101 ms 50512 KB Output is correct
25 Correct 123 ms 50456 KB Output is correct
26 Correct 105 ms 50516 KB Output is correct
27 Correct 109 ms 50516 KB Output is correct
28 Correct 112 ms 50508 KB Output is correct
29 Correct 110 ms 50512 KB Output is correct
30 Correct 105 ms 50596 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 5 ms 2228 KB Output is correct
35 Correct 7 ms 2140 KB Output is correct
36 Correct 5 ms 2140 KB Output is correct
37 Correct 21 ms 8900 KB Output is correct
38 Correct 23 ms 8796 KB Output is correct
39 Correct 48 ms 17396 KB Output is correct
40 Correct 88 ms 34132 KB Output is correct
41 Correct 124 ms 50924 KB Output is correct
42 Correct 124 ms 50944 KB Output is correct
43 Correct 122 ms 50936 KB Output is correct
44 Correct 123 ms 51028 KB Output is correct
45 Correct 126 ms 50772 KB Output is correct
46 Correct 125 ms 50780 KB Output is correct
47 Correct 125 ms 50836 KB Output is correct
48 Correct 127 ms 50940 KB Output is correct
49 Correct 124 ms 51008 KB Output is correct
50 Correct 122 ms 50800 KB Output is correct
51 Correct 124 ms 51024 KB Output is correct
52 Correct 132 ms 50940 KB Output is correct
53 Correct 133 ms 50768 KB Output is correct
54 Correct 128 ms 50840 KB Output is correct
55 Correct 132 ms 50988 KB Output is correct
56 Correct 139 ms 50904 KB Output is correct
57 Correct 145 ms 50772 KB Output is correct
58 Correct 132 ms 50908 KB Output is correct
59 Correct 142 ms 51024 KB Output is correct
60 Correct 128 ms 50768 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 464 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 4 ms 2140 KB Output is correct
14 Correct 33 ms 17160 KB Output is correct
15 Correct 63 ms 33628 KB Output is correct
16 Correct 105 ms 50260 KB Output is correct
17 Correct 104 ms 50256 KB Output is correct
18 Correct 100 ms 50264 KB Output is correct
19 Correct 106 ms 50260 KB Output is correct
20 Correct 108 ms 50476 KB Output is correct
21 Correct 103 ms 50268 KB Output is correct
22 Correct 105 ms 50256 KB Output is correct
23 Correct 104 ms 50268 KB Output is correct
24 Correct 105 ms 50256 KB Output is correct
25 Correct 103 ms 50436 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 2228 KB Output is correct
29 Correct 35 ms 17244 KB Output is correct
30 Correct 70 ms 33896 KB Output is correct
31 Correct 106 ms 50516 KB Output is correct
32 Correct 109 ms 50572 KB Output is correct
33 Correct 109 ms 50616 KB Output is correct
34 Correct 101 ms 50512 KB Output is correct
35 Correct 123 ms 50456 KB Output is correct
36 Correct 105 ms 50516 KB Output is correct
37 Correct 109 ms 50516 KB Output is correct
38 Correct 112 ms 50508 KB Output is correct
39 Correct 110 ms 50512 KB Output is correct
40 Correct 105 ms 50596 KB Output is correct
41 Correct 1 ms 600 KB Output is correct
42 Correct 1 ms 600 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 5 ms 2228 KB Output is correct
45 Correct 7 ms 2140 KB Output is correct
46 Correct 5 ms 2140 KB Output is correct
47 Correct 21 ms 8900 KB Output is correct
48 Correct 23 ms 8796 KB Output is correct
49 Correct 48 ms 17396 KB Output is correct
50 Correct 88 ms 34132 KB Output is correct
51 Correct 124 ms 50924 KB Output is correct
52 Correct 124 ms 50944 KB Output is correct
53 Correct 122 ms 50936 KB Output is correct
54 Correct 123 ms 51028 KB Output is correct
55 Correct 126 ms 50772 KB Output is correct
56 Correct 125 ms 50780 KB Output is correct
57 Correct 125 ms 50836 KB Output is correct
58 Correct 127 ms 50940 KB Output is correct
59 Correct 124 ms 51008 KB Output is correct
60 Correct 122 ms 50800 KB Output is correct
61 Correct 124 ms 51024 KB Output is correct
62 Correct 132 ms 50940 KB Output is correct
63 Correct 133 ms 50768 KB Output is correct
64 Correct 128 ms 50840 KB Output is correct
65 Correct 132 ms 50988 KB Output is correct
66 Correct 139 ms 50904 KB Output is correct
67 Correct 145 ms 50772 KB Output is correct
68 Correct 132 ms 50908 KB Output is correct
69 Correct 142 ms 51024 KB Output is correct
70 Correct 128 ms 50768 KB Output is correct
71 Correct 31 ms 9052 KB Output is correct
72 Correct 24 ms 9048 KB Output is correct
73 Correct 28 ms 9052 KB Output is correct
74 Correct 24 ms 9052 KB Output is correct
75 Correct 25 ms 9048 KB Output is correct
76 Correct 55 ms 17500 KB Output is correct
77 Correct 56 ms 17500 KB Output is correct
78 Correct 59 ms 17496 KB Output is correct
79 Correct 74 ms 17672 KB Output is correct
80 Correct 60 ms 17680 KB Output is correct
81 Correct 137 ms 34644 KB Output is correct
82 Correct 141 ms 34860 KB Output is correct
83 Correct 139 ms 34856 KB Output is correct
84 Correct 135 ms 34644 KB Output is correct
85 Correct 135 ms 34644 KB Output is correct
86 Correct 162 ms 35408 KB Output is correct
87 Correct 182 ms 35360 KB Output is correct
88 Correct 165 ms 35412 KB Output is correct
89 Correct 168 ms 35376 KB Output is correct
90 Correct 165 ms 35408 KB Output is correct
91 Correct 345 ms 56392 KB Output is correct
92 Correct 339 ms 56404 KB Output is correct
93 Correct 354 ms 56624 KB Output is correct
94 Correct 419 ms 56440 KB Output is correct
95 Correct 335 ms 56616 KB Output is correct
96 Correct 418 ms 61636 KB Output is correct
97 Correct 436 ms 61864 KB Output is correct
98 Correct 428 ms 61776 KB Output is correct
99 Correct 431 ms 61780 KB Output is correct
100 Correct 458 ms 61780 KB Output is correct
101 Correct 435 ms 61780 KB Output is correct
102 Correct 472 ms 61676 KB Output is correct
103 Correct 444 ms 61780 KB Output is correct
104 Correct 473 ms 61852 KB Output is correct
105 Correct 440 ms 61792 KB Output is correct
106 Correct 496 ms 64336 KB Output is correct
107 Correct 430 ms 64340 KB Output is correct
108 Correct 428 ms 64340 KB Output is correct
109 Correct 463 ms 64336 KB Output is correct
110 Correct 474 ms 64336 KB Output is correct
111 Correct 503 ms 64340 KB Output is correct
112 Correct 518 ms 64340 KB Output is correct
113 Correct 507 ms 64408 KB Output is correct
114 Correct 523 ms 64444 KB Output is correct
115 Correct 527 ms 64276 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 464 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 4 ms 2140 KB Output is correct
14 Correct 33 ms 17160 KB Output is correct
15 Correct 63 ms 33628 KB Output is correct
16 Correct 105 ms 50260 KB Output is correct
17 Correct 104 ms 50256 KB Output is correct
18 Correct 100 ms 50264 KB Output is correct
19 Correct 106 ms 50260 KB Output is correct
20 Correct 108 ms 50476 KB Output is correct
21 Correct 103 ms 50268 KB Output is correct
22 Correct 105 ms 50256 KB Output is correct
23 Correct 104 ms 50268 KB Output is correct
24 Correct 105 ms 50256 KB Output is correct
25 Correct 103 ms 50436 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 2228 KB Output is correct
29 Correct 35 ms 17244 KB Output is correct
30 Correct 70 ms 33896 KB Output is correct
31 Correct 106 ms 50516 KB Output is correct
32 Correct 109 ms 50572 KB Output is correct
33 Correct 109 ms 50616 KB Output is correct
34 Correct 101 ms 50512 KB Output is correct
35 Correct 123 ms 50456 KB Output is correct
36 Correct 105 ms 50516 KB Output is correct
37 Correct 109 ms 50516 KB Output is correct
38 Correct 112 ms 50508 KB Output is correct
39 Correct 110 ms 50512 KB Output is correct
40 Correct 105 ms 50596 KB Output is correct
41 Correct 1 ms 600 KB Output is correct
42 Correct 1 ms 600 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 5 ms 2228 KB Output is correct
45 Correct 7 ms 2140 KB Output is correct
46 Correct 5 ms 2140 KB Output is correct
47 Correct 21 ms 8900 KB Output is correct
48 Correct 23 ms 8796 KB Output is correct
49 Correct 48 ms 17396 KB Output is correct
50 Correct 88 ms 34132 KB Output is correct
51 Correct 124 ms 50924 KB Output is correct
52 Correct 124 ms 50944 KB Output is correct
53 Correct 122 ms 50936 KB Output is correct
54 Correct 123 ms 51028 KB Output is correct
55 Correct 126 ms 50772 KB Output is correct
56 Correct 125 ms 50780 KB Output is correct
57 Correct 125 ms 50836 KB Output is correct
58 Correct 127 ms 50940 KB Output is correct
59 Correct 124 ms 51008 KB Output is correct
60 Correct 122 ms 50800 KB Output is correct
61 Correct 124 ms 51024 KB Output is correct
62 Correct 132 ms 50940 KB Output is correct
63 Correct 133 ms 50768 KB Output is correct
64 Correct 128 ms 50840 KB Output is correct
65 Correct 132 ms 50988 KB Output is correct
66 Correct 139 ms 50904 KB Output is correct
67 Correct 145 ms 50772 KB Output is correct
68 Correct 132 ms 50908 KB Output is correct
69 Correct 142 ms 51024 KB Output is correct
70 Correct 128 ms 50768 KB Output is correct
71 Correct 31 ms 9052 KB Output is correct
72 Correct 24 ms 9048 KB Output is correct
73 Correct 28 ms 9052 KB Output is correct
74 Correct 24 ms 9052 KB Output is correct
75 Correct 25 ms 9048 KB Output is correct
76 Correct 55 ms 17500 KB Output is correct
77 Correct 56 ms 17500 KB Output is correct
78 Correct 59 ms 17496 KB Output is correct
79 Correct 74 ms 17672 KB Output is correct
80 Correct 60 ms 17680 KB Output is correct
81 Correct 137 ms 34644 KB Output is correct
82 Correct 141 ms 34860 KB Output is correct
83 Correct 139 ms 34856 KB Output is correct
84 Correct 135 ms 34644 KB Output is correct
85 Correct 135 ms 34644 KB Output is correct
86 Correct 162 ms 35408 KB Output is correct
87 Correct 182 ms 35360 KB Output is correct
88 Correct 165 ms 35412 KB Output is correct
89 Correct 168 ms 35376 KB Output is correct
90 Correct 165 ms 35408 KB Output is correct
91 Correct 345 ms 56392 KB Output is correct
92 Correct 339 ms 56404 KB Output is correct
93 Correct 354 ms 56624 KB Output is correct
94 Correct 419 ms 56440 KB Output is correct
95 Correct 335 ms 56616 KB Output is correct
96 Correct 418 ms 61636 KB Output is correct
97 Correct 436 ms 61864 KB Output is correct
98 Correct 428 ms 61776 KB Output is correct
99 Correct 431 ms 61780 KB Output is correct
100 Correct 458 ms 61780 KB Output is correct
101 Correct 435 ms 61780 KB Output is correct
102 Correct 472 ms 61676 KB Output is correct
103 Correct 444 ms 61780 KB Output is correct
104 Correct 473 ms 61852 KB Output is correct
105 Correct 440 ms 61792 KB Output is correct
106 Correct 496 ms 64336 KB Output is correct
107 Correct 430 ms 64340 KB Output is correct
108 Correct 428 ms 64340 KB Output is correct
109 Correct 463 ms 64336 KB Output is correct
110 Correct 474 ms 64336 KB Output is correct
111 Correct 503 ms 64340 KB Output is correct
112 Correct 518 ms 64340 KB Output is correct
113 Correct 507 ms 64408 KB Output is correct
114 Correct 523 ms 64444 KB Output is correct
115 Correct 527 ms 64276 KB Output is correct
116 Incorrect 1153 ms 3928 KB Output isn't correct
117 Halted 0 ms 0 KB -