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Submission #1097458

# Submission time Handle Problem Language Result Execution time Memory
1097458 2024-10-07T12:33:27 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 64448 KB 
#include<bits/stdc++.h>
#define MAXN 300007
using namespace std;

const int bucket_sz=1;

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 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 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 348 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 3 ms 2140 KB Output is correct
4 Correct 33 ms 16964 KB Output is correct
5 Correct 67 ms 33628 KB Output is correct
6 Correct 105 ms 50260 KB Output is correct
7 Correct 102 ms 50388 KB Output is correct
8 Correct 100 ms 50260 KB Output is correct
9 Correct 100 ms 50268 KB Output is correct
10 Correct 100 ms 50256 KB Output is correct
11 Correct 105 ms 50256 KB Output is correct
12 Correct 103 ms 50264 KB Output is correct
13 Correct 101 ms 50256 KB Output is correct
14 Correct 103 ms 50328 KB Output is correct
15 Correct 97 ms 50252 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 3 ms 2140 KB Output is correct
4 Correct 33 ms 16964 KB Output is correct
5 Correct 67 ms 33628 KB Output is correct
6 Correct 105 ms 50260 KB Output is correct
7 Correct 102 ms 50388 KB Output is correct
8 Correct 100 ms 50260 KB Output is correct
9 Correct 100 ms 50268 KB Output is correct
10 Correct 100 ms 50256 KB Output is correct
11 Correct 105 ms 50256 KB Output is correct
12 Correct 103 ms 50264 KB Output is correct
13 Correct 101 ms 50256 KB Output is correct
14 Correct 103 ms 50328 KB Output is correct
15 Correct 97 ms 50252 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 32 ms 17244 KB Output is correct
20 Correct 69 ms 33884 KB Output is correct
21 Correct 101 ms 50524 KB Output is correct
22 Correct 103 ms 50512 KB Output is correct
23 Correct 103 ms 50376 KB Output is correct
24 Correct 103 ms 50516 KB Output is correct
25 Correct 101 ms 50516 KB Output is correct
26 Correct 104 ms 50548 KB Output is correct
27 Correct 103 ms 50516 KB Output is correct
28 Correct 109 ms 50348 KB Output is correct
29 Correct 101 ms 50524 KB Output is correct
30 Correct 101 ms 50588 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 3 ms 2140 KB Output is correct
4 Correct 33 ms 16964 KB Output is correct
5 Correct 67 ms 33628 KB Output is correct
6 Correct 105 ms 50260 KB Output is correct
7 Correct 102 ms 50388 KB Output is correct
8 Correct 100 ms 50260 KB Output is correct
9 Correct 100 ms 50268 KB Output is correct
10 Correct 100 ms 50256 KB Output is correct
11 Correct 105 ms 50256 KB Output is correct
12 Correct 103 ms 50264 KB Output is correct
13 Correct 101 ms 50256 KB Output is correct
14 Correct 103 ms 50328 KB Output is correct
15 Correct 97 ms 50252 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 32 ms 17244 KB Output is correct
20 Correct 69 ms 33884 KB Output is correct
21 Correct 101 ms 50524 KB Output is correct
22 Correct 103 ms 50512 KB Output is correct
23 Correct 103 ms 50376 KB Output is correct
24 Correct 103 ms 50516 KB Output is correct
25 Correct 101 ms 50516 KB Output is correct
26 Correct 104 ms 50548 KB Output is correct
27 Correct 103 ms 50516 KB Output is correct
28 Correct 109 ms 50348 KB Output is correct
29 Correct 101 ms 50524 KB Output is correct
30 Correct 101 ms 50588 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 2012 KB Output is correct
35 Correct 5 ms 2140 KB Output is correct
36 Correct 5 ms 2140 KB Output is correct
37 Correct 22 ms 8920 KB Output is correct
38 Correct 25 ms 8796 KB Output is correct
39 Correct 44 ms 17244 KB Output is correct
40 Correct 88 ms 34136 KB Output is correct
41 Correct 132 ms 50772 KB Output is correct
42 Correct 129 ms 50932 KB Output is correct
43 Correct 130 ms 50780 KB Output is correct
44 Correct 143 ms 51024 KB Output is correct
45 Correct 124 ms 50912 KB Output is correct
46 Correct 128 ms 51028 KB Output is correct
47 Correct 124 ms 50776 KB Output is correct
48 Correct 125 ms 50928 KB Output is correct
49 Correct 132 ms 50816 KB Output is correct
50 Correct 126 ms 51184 KB Output is correct
51 Correct 125 ms 50772 KB Output is correct
52 Correct 125 ms 50772 KB Output is correct
53 Correct 153 ms 50856 KB Output is correct
54 Correct 127 ms 51008 KB Output is correct
55 Correct 124 ms 51012 KB Output is correct
56 Correct 130 ms 50772 KB Output is correct
57 Correct 127 ms 50780 KB Output is correct
58 Correct 132 ms 51208 KB Output is correct
59 Correct 134 ms 51024 KB Output is correct
60 Correct 149 ms 50924 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 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 348 KB Output is correct
11 Correct 1 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 33 ms 16964 KB Output is correct
15 Correct 67 ms 33628 KB Output is correct
16 Correct 105 ms 50260 KB Output is correct
17 Correct 102 ms 50388 KB Output is correct
18 Correct 100 ms 50260 KB Output is correct
19 Correct 100 ms 50268 KB Output is correct
20 Correct 100 ms 50256 KB Output is correct
21 Correct 105 ms 50256 KB Output is correct
22 Correct 103 ms 50264 KB Output is correct
23 Correct 101 ms 50256 KB Output is correct
24 Correct 103 ms 50328 KB Output is correct
25 Correct 97 ms 50252 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 32 ms 17244 KB Output is correct
30 Correct 69 ms 33884 KB Output is correct
31 Correct 101 ms 50524 KB Output is correct
32 Correct 103 ms 50512 KB Output is correct
33 Correct 103 ms 50376 KB Output is correct
34 Correct 103 ms 50516 KB Output is correct
35 Correct 101 ms 50516 KB Output is correct
36 Correct 104 ms 50548 KB Output is correct
37 Correct 103 ms 50516 KB Output is correct
38 Correct 109 ms 50348 KB Output is correct
39 Correct 101 ms 50524 KB Output is correct
40 Correct 101 ms 50588 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 2012 KB Output is correct
45 Correct 5 ms 2140 KB Output is correct
46 Correct 5 ms 2140 KB Output is correct
47 Correct 22 ms 8920 KB Output is correct
48 Correct 25 ms 8796 KB Output is correct
49 Correct 44 ms 17244 KB Output is correct
50 Correct 88 ms 34136 KB Output is correct
51 Correct 132 ms 50772 KB Output is correct
52 Correct 129 ms 50932 KB Output is correct
53 Correct 130 ms 50780 KB Output is correct
54 Correct 143 ms 51024 KB Output is correct
55 Correct 124 ms 50912 KB Output is correct
56 Correct 128 ms 51028 KB Output is correct
57 Correct 124 ms 50776 KB Output is correct
58 Correct 125 ms 50928 KB Output is correct
59 Correct 132 ms 50816 KB Output is correct
60 Correct 126 ms 51184 KB Output is correct
61 Correct 125 ms 50772 KB Output is correct
62 Correct 125 ms 50772 KB Output is correct
63 Correct 153 ms 50856 KB Output is correct
64 Correct 127 ms 51008 KB Output is correct
65 Correct 124 ms 51012 KB Output is correct
66 Correct 130 ms 50772 KB Output is correct
67 Correct 127 ms 50780 KB Output is correct
68 Correct 132 ms 51208 KB Output is correct
69 Correct 134 ms 51024 KB Output is correct
70 Correct 149 ms 50924 KB Output is correct
71 Correct 26 ms 9052 KB Output is correct
72 Correct 25 ms 9048 KB Output is correct
73 Correct 25 ms 9052 KB Output is correct
74 Correct 24 ms 9048 KB Output is correct
75 Correct 25 ms 9052 KB Output is correct
76 Correct 67 ms 17500 KB Output is correct
77 Correct 56 ms 17496 KB Output is correct
78 Correct 59 ms 17656 KB Output is correct
79 Correct 57 ms 17452 KB Output is correct
80 Correct 55 ms 17680 KB Output is correct
81 Correct 131 ms 34644 KB Output is correct
82 Correct 128 ms 34644 KB Output is correct
83 Correct 133 ms 35104 KB Output is correct
84 Correct 128 ms 34640 KB Output is correct
85 Correct 133 ms 34772 KB Output is correct
86 Correct 155 ms 35484 KB Output is correct
87 Correct 164 ms 35484 KB Output is correct
88 Correct 164 ms 35320 KB Output is correct
89 Correct 157 ms 35484 KB Output is correct
90 Correct 164 ms 35480 KB Output is correct
91 Correct 350 ms 56404 KB Output is correct
92 Correct 356 ms 56656 KB Output is correct
93 Correct 355 ms 56400 KB Output is correct
94 Correct 356 ms 56616 KB Output is correct
95 Correct 352 ms 56624 KB Output is correct
96 Correct 437 ms 61744 KB Output is correct
97 Correct 476 ms 61856 KB Output is correct
98 Correct 457 ms 61856 KB Output is correct
99 Correct 444 ms 61860 KB Output is correct
100 Correct 420 ms 61676 KB Output is correct
101 Correct 455 ms 61776 KB Output is correct
102 Correct 450 ms 61828 KB Output is correct
103 Correct 430 ms 61780 KB Output is correct
104 Correct 411 ms 61776 KB Output is correct
105 Correct 439 ms 61832 KB Output is correct
106 Correct 456 ms 64336 KB Output is correct
107 Correct 477 ms 64408 KB Output is correct
108 Correct 459 ms 64336 KB Output is correct
109 Correct 478 ms 64336 KB Output is correct
110 Correct 442 ms 64228 KB Output is correct
111 Correct 460 ms 64344 KB Output is correct
112 Correct 450 ms 64340 KB Output is correct
113 Correct 499 ms 64336 KB Output is correct
114 Correct 460 ms 64448 KB Output is correct
115 Correct 458 ms 64380 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 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 348 KB Output is correct
11 Correct 1 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 33 ms 16964 KB Output is correct
15 Correct 67 ms 33628 KB Output is correct
16 Correct 105 ms 50260 KB Output is correct
17 Correct 102 ms 50388 KB Output is correct
18 Correct 100 ms 50260 KB Output is correct
19 Correct 100 ms 50268 KB Output is correct
20 Correct 100 ms 50256 KB Output is correct
21 Correct 105 ms 50256 KB Output is correct
22 Correct 103 ms 50264 KB Output is correct
23 Correct 101 ms 50256 KB Output is correct
24 Correct 103 ms 50328 KB Output is correct
25 Correct 97 ms 50252 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 32 ms 17244 KB Output is correct
30 Correct 69 ms 33884 KB Output is correct
31 Correct 101 ms 50524 KB Output is correct
32 Correct 103 ms 50512 KB Output is correct
33 Correct 103 ms 50376 KB Output is correct
34 Correct 103 ms 50516 KB Output is correct
35 Correct 101 ms 50516 KB Output is correct
36 Correct 104 ms 50548 KB Output is correct
37 Correct 103 ms 50516 KB Output is correct
38 Correct 109 ms 50348 KB Output is correct
39 Correct 101 ms 50524 KB Output is correct
40 Correct 101 ms 50588 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 2012 KB Output is correct
45 Correct 5 ms 2140 KB Output is correct
46 Correct 5 ms 2140 KB Output is correct
47 Correct 22 ms 8920 KB Output is correct
48 Correct 25 ms 8796 KB Output is correct
49 Correct 44 ms 17244 KB Output is correct
50 Correct 88 ms 34136 KB Output is correct
51 Correct 132 ms 50772 KB Output is correct
52 Correct 129 ms 50932 KB Output is correct
53 Correct 130 ms 50780 KB Output is correct
54 Correct 143 ms 51024 KB Output is correct
55 Correct 124 ms 50912 KB Output is correct
56 Correct 128 ms 51028 KB Output is correct
57 Correct 124 ms 50776 KB Output is correct
58 Correct 125 ms 50928 KB Output is correct
59 Correct 132 ms 50816 KB Output is correct
60 Correct 126 ms 51184 KB Output is correct
61 Correct 125 ms 50772 KB Output is correct
62 Correct 125 ms 50772 KB Output is correct
63 Correct 153 ms 50856 KB Output is correct
64 Correct 127 ms 51008 KB Output is correct
65 Correct 124 ms 51012 KB Output is correct
66 Correct 130 ms 50772 KB Output is correct
67 Correct 127 ms 50780 KB Output is correct
68 Correct 132 ms 51208 KB Output is correct
69 Correct 134 ms 51024 KB Output is correct
70 Correct 149 ms 50924 KB Output is correct
71 Correct 26 ms 9052 KB Output is correct
72 Correct 25 ms 9048 KB Output is correct
73 Correct 25 ms 9052 KB Output is correct
74 Correct 24 ms 9048 KB Output is correct
75 Correct 25 ms 9052 KB Output is correct
76 Correct 67 ms 17500 KB Output is correct
77 Correct 56 ms 17496 KB Output is correct
78 Correct 59 ms 17656 KB Output is correct
79 Correct 57 ms 17452 KB Output is correct
80 Correct 55 ms 17680 KB Output is correct
81 Correct 131 ms 34644 KB Output is correct
82 Correct 128 ms 34644 KB Output is correct
83 Correct 133 ms 35104 KB Output is correct
84 Correct 128 ms 34640 KB Output is correct
85 Correct 133 ms 34772 KB Output is correct
86 Correct 155 ms 35484 KB Output is correct
87 Correct 164 ms 35484 KB Output is correct
88 Correct 164 ms 35320 KB Output is correct
89 Correct 157 ms 35484 KB Output is correct
90 Correct 164 ms 35480 KB Output is correct
91 Correct 350 ms 56404 KB Output is correct
92 Correct 356 ms 56656 KB Output is correct
93 Correct 355 ms 56400 KB Output is correct
94 Correct 356 ms 56616 KB Output is correct
95 Correct 352 ms 56624 KB Output is correct
96 Correct 437 ms 61744 KB Output is correct
97 Correct 476 ms 61856 KB Output is correct
98 Correct 457 ms 61856 KB Output is correct
99 Correct 444 ms 61860 KB Output is correct
100 Correct 420 ms 61676 KB Output is correct
101 Correct 455 ms 61776 KB Output is correct
102 Correct 450 ms 61828 KB Output is correct
103 Correct 430 ms 61780 KB Output is correct
104 Correct 411 ms 61776 KB Output is correct
105 Correct 439 ms 61832 KB Output is correct
106 Correct 456 ms 64336 KB Output is correct
107 Correct 477 ms 64408 KB Output is correct
108 Correct 459 ms 64336 KB Output is correct
109 Correct 478 ms 64336 KB Output is correct
110 Correct 442 ms 64228 KB Output is correct
111 Correct 460 ms 64344 KB Output is correct
112 Correct 450 ms 64340 KB Output is correct
113 Correct 499 ms 64336 KB Output is correct
114 Correct 460 ms 64448 KB Output is correct
115 Correct 458 ms 64380 KB Output is correct
116 Execution timed out 7030 ms 3880 KB Time limit exceeded
117 Halted 0 ms 0 KB -