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Submission #1097562

# Submission time Handle Problem Language Result Execution time Memory
1097562 2024-10-07T14:58:39 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 64336 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];
        if(bucket[fr.l]%2==0)return fr.r<sc.r;
        else 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];
    if(br[x]>br[w[nxt[pos[x]][0]]]){
        for(int s=17;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];
    if(br[x]<br[w[pr[pos[x]][0]]]){
        for(int s=17;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 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 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 344 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 2 ms 2140 KB Output is correct
4 Correct 18 ms 17092 KB Output is correct
5 Correct 37 ms 33804 KB Output is correct
6 Correct 60 ms 50256 KB Output is correct
7 Correct 59 ms 50392 KB Output is correct
8 Correct 66 ms 50416 KB Output is correct
9 Correct 60 ms 50260 KB Output is correct
10 Correct 59 ms 50260 KB Output is correct
11 Correct 59 ms 50312 KB Output is correct
12 Correct 61 ms 50260 KB Output is correct
13 Correct 70 ms 50256 KB Output is correct
14 Correct 66 ms 50256 KB Output is correct
15 Correct 69 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 2 ms 2140 KB Output is correct
4 Correct 18 ms 17092 KB Output is correct
5 Correct 37 ms 33804 KB Output is correct
6 Correct 60 ms 50256 KB Output is correct
7 Correct 59 ms 50392 KB Output is correct
8 Correct 66 ms 50416 KB Output is correct
9 Correct 60 ms 50260 KB Output is correct
10 Correct 59 ms 50260 KB Output is correct
11 Correct 59 ms 50312 KB Output is correct
12 Correct 61 ms 50260 KB Output is correct
13 Correct 70 ms 50256 KB Output is correct
14 Correct 66 ms 50256 KB Output is correct
15 Correct 69 ms 50260 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 604 KB Output is correct
18 Correct 3 ms 2140 KB Output is correct
19 Correct 20 ms 17260 KB Output is correct
20 Correct 42 ms 33912 KB Output is correct
21 Correct 66 ms 50788 KB Output is correct
22 Correct 66 ms 50564 KB Output is correct
23 Correct 67 ms 50516 KB Output is correct
24 Correct 66 ms 50520 KB Output is correct
25 Correct 67 ms 50512 KB Output is correct
26 Correct 64 ms 50536 KB Output is correct
27 Correct 65 ms 50516 KB Output is correct
28 Correct 68 ms 50512 KB Output is correct
29 Correct 70 ms 50564 KB Output is correct
30 Correct 66 ms 50628 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 2 ms 2140 KB Output is correct
4 Correct 18 ms 17092 KB Output is correct
5 Correct 37 ms 33804 KB Output is correct
6 Correct 60 ms 50256 KB Output is correct
7 Correct 59 ms 50392 KB Output is correct
8 Correct 66 ms 50416 KB Output is correct
9 Correct 60 ms 50260 KB Output is correct
10 Correct 59 ms 50260 KB Output is correct
11 Correct 59 ms 50312 KB Output is correct
12 Correct 61 ms 50260 KB Output is correct
13 Correct 70 ms 50256 KB Output is correct
14 Correct 66 ms 50256 KB Output is correct
15 Correct 69 ms 50260 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 604 KB Output is correct
18 Correct 3 ms 2140 KB Output is correct
19 Correct 20 ms 17260 KB Output is correct
20 Correct 42 ms 33912 KB Output is correct
21 Correct 66 ms 50788 KB Output is correct
22 Correct 66 ms 50564 KB Output is correct
23 Correct 67 ms 50516 KB Output is correct
24 Correct 66 ms 50520 KB Output is correct
25 Correct 67 ms 50512 KB Output is correct
26 Correct 64 ms 50536 KB Output is correct
27 Correct 65 ms 50516 KB Output is correct
28 Correct 68 ms 50512 KB Output is correct
29 Correct 70 ms 50564 KB Output is correct
30 Correct 66 ms 50628 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 856 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 3 ms 2140 KB Output is correct
35 Correct 3 ms 2096 KB Output is correct
36 Correct 4 ms 2140 KB Output is correct
37 Correct 15 ms 8792 KB Output is correct
38 Correct 17 ms 8932 KB Output is correct
39 Correct 31 ms 17244 KB Output is correct
40 Correct 59 ms 34132 KB Output is correct
41 Correct 92 ms 51024 KB Output is correct
42 Correct 88 ms 51020 KB Output is correct
43 Correct 90 ms 50920 KB Output is correct
44 Correct 87 ms 51024 KB Output is correct
45 Correct 88 ms 50772 KB Output is correct
46 Correct 89 ms 50796 KB Output is correct
47 Correct 90 ms 51012 KB Output is correct
48 Correct 93 ms 51004 KB Output is correct
49 Correct 91 ms 50924 KB Output is correct
50 Correct 96 ms 50964 KB Output is correct
51 Correct 97 ms 50948 KB Output is correct
52 Correct 97 ms 50924 KB Output is correct
53 Correct 93 ms 51024 KB Output is correct
54 Correct 97 ms 50928 KB Output is correct
55 Correct 94 ms 51024 KB Output is correct
56 Correct 99 ms 50772 KB Output is correct
57 Correct 95 ms 50900 KB Output is correct
58 Correct 96 ms 50768 KB Output is correct
59 Correct 94 ms 51024 KB Output is correct
60 Correct 96 ms 50920 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 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 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 2 ms 2140 KB Output is correct
14 Correct 18 ms 17092 KB Output is correct
15 Correct 37 ms 33804 KB Output is correct
16 Correct 60 ms 50256 KB Output is correct
17 Correct 59 ms 50392 KB Output is correct
18 Correct 66 ms 50416 KB Output is correct
19 Correct 60 ms 50260 KB Output is correct
20 Correct 59 ms 50260 KB Output is correct
21 Correct 59 ms 50312 KB Output is correct
22 Correct 61 ms 50260 KB Output is correct
23 Correct 70 ms 50256 KB Output is correct
24 Correct 66 ms 50256 KB Output is correct
25 Correct 69 ms 50260 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 604 KB Output is correct
28 Correct 3 ms 2140 KB Output is correct
29 Correct 20 ms 17260 KB Output is correct
30 Correct 42 ms 33912 KB Output is correct
31 Correct 66 ms 50788 KB Output is correct
32 Correct 66 ms 50564 KB Output is correct
33 Correct 67 ms 50516 KB Output is correct
34 Correct 66 ms 50520 KB Output is correct
35 Correct 67 ms 50512 KB Output is correct
36 Correct 64 ms 50536 KB Output is correct
37 Correct 65 ms 50516 KB Output is correct
38 Correct 68 ms 50512 KB Output is correct
39 Correct 70 ms 50564 KB Output is correct
40 Correct 66 ms 50628 KB Output is correct
41 Correct 1 ms 600 KB Output is correct
42 Correct 1 ms 856 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 3 ms 2140 KB Output is correct
45 Correct 3 ms 2096 KB Output is correct
46 Correct 4 ms 2140 KB Output is correct
47 Correct 15 ms 8792 KB Output is correct
48 Correct 17 ms 8932 KB Output is correct
49 Correct 31 ms 17244 KB Output is correct
50 Correct 59 ms 34132 KB Output is correct
51 Correct 92 ms 51024 KB Output is correct
52 Correct 88 ms 51020 KB Output is correct
53 Correct 90 ms 50920 KB Output is correct
54 Correct 87 ms 51024 KB Output is correct
55 Correct 88 ms 50772 KB Output is correct
56 Correct 89 ms 50796 KB Output is correct
57 Correct 90 ms 51012 KB Output is correct
58 Correct 93 ms 51004 KB Output is correct
59 Correct 91 ms 50924 KB Output is correct
60 Correct 96 ms 50964 KB Output is correct
61 Correct 97 ms 50948 KB Output is correct
62 Correct 97 ms 50924 KB Output is correct
63 Correct 93 ms 51024 KB Output is correct
64 Correct 97 ms 50928 KB Output is correct
65 Correct 94 ms 51024 KB Output is correct
66 Correct 99 ms 50772 KB Output is correct
67 Correct 95 ms 50900 KB Output is correct
68 Correct 96 ms 50768 KB Output is correct
69 Correct 94 ms 51024 KB Output is correct
70 Correct 96 ms 50920 KB Output is correct
71 Correct 19 ms 8924 KB Output is correct
72 Correct 19 ms 8964 KB Output is correct
73 Correct 19 ms 9052 KB Output is correct
74 Correct 20 ms 9044 KB Output is correct
75 Correct 19 ms 9052 KB Output is correct
76 Correct 47 ms 17728 KB Output is correct
77 Correct 43 ms 17448 KB Output is correct
78 Correct 43 ms 17496 KB Output is correct
79 Correct 44 ms 17452 KB Output is correct
80 Correct 44 ms 17492 KB Output is correct
81 Correct 94 ms 34640 KB Output is correct
82 Correct 94 ms 34640 KB Output is correct
83 Correct 93 ms 34744 KB Output is correct
84 Correct 90 ms 34640 KB Output is correct
85 Correct 90 ms 34856 KB Output is correct
86 Correct 103 ms 35412 KB Output is correct
87 Correct 104 ms 35408 KB Output is correct
88 Correct 104 ms 35364 KB Output is correct
89 Correct 105 ms 35372 KB Output is correct
90 Correct 106 ms 35408 KB Output is correct
91 Correct 240 ms 56404 KB Output is correct
92 Correct 233 ms 56192 KB Output is correct
93 Correct 242 ms 56400 KB Output is correct
94 Correct 238 ms 56400 KB Output is correct
95 Correct 238 ms 56400 KB Output is correct
96 Correct 288 ms 61616 KB Output is correct
97 Correct 295 ms 61780 KB Output is correct
98 Correct 281 ms 61596 KB Output is correct
99 Correct 267 ms 61524 KB Output is correct
100 Correct 297 ms 61520 KB Output is correct
101 Correct 322 ms 61524 KB Output is correct
102 Correct 285 ms 61540 KB Output is correct
103 Correct 275 ms 61524 KB Output is correct
104 Correct 266 ms 61516 KB Output is correct
105 Correct 271 ms 61520 KB Output is correct
106 Correct 314 ms 64080 KB Output is correct
107 Correct 295 ms 64080 KB Output is correct
108 Correct 294 ms 64080 KB Output is correct
109 Correct 276 ms 64084 KB Output is correct
110 Correct 300 ms 64080 KB Output is correct
111 Correct 297 ms 64084 KB Output is correct
112 Correct 313 ms 64084 KB Output is correct
113 Correct 304 ms 64164 KB Output is correct
114 Correct 310 ms 64084 KB Output is correct
115 Correct 313 ms 64336 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 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 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 2 ms 2140 KB Output is correct
14 Correct 18 ms 17092 KB Output is correct
15 Correct 37 ms 33804 KB Output is correct
16 Correct 60 ms 50256 KB Output is correct
17 Correct 59 ms 50392 KB Output is correct
18 Correct 66 ms 50416 KB Output is correct
19 Correct 60 ms 50260 KB Output is correct
20 Correct 59 ms 50260 KB Output is correct
21 Correct 59 ms 50312 KB Output is correct
22 Correct 61 ms 50260 KB Output is correct
23 Correct 70 ms 50256 KB Output is correct
24 Correct 66 ms 50256 KB Output is correct
25 Correct 69 ms 50260 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 604 KB Output is correct
28 Correct 3 ms 2140 KB Output is correct
29 Correct 20 ms 17260 KB Output is correct
30 Correct 42 ms 33912 KB Output is correct
31 Correct 66 ms 50788 KB Output is correct
32 Correct 66 ms 50564 KB Output is correct
33 Correct 67 ms 50516 KB Output is correct
34 Correct 66 ms 50520 KB Output is correct
35 Correct 67 ms 50512 KB Output is correct
36 Correct 64 ms 50536 KB Output is correct
37 Correct 65 ms 50516 KB Output is correct
38 Correct 68 ms 50512 KB Output is correct
39 Correct 70 ms 50564 KB Output is correct
40 Correct 66 ms 50628 KB Output is correct
41 Correct 1 ms 600 KB Output is correct
42 Correct 1 ms 856 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 3 ms 2140 KB Output is correct
45 Correct 3 ms 2096 KB Output is correct
46 Correct 4 ms 2140 KB Output is correct
47 Correct 15 ms 8792 KB Output is correct
48 Correct 17 ms 8932 KB Output is correct
49 Correct 31 ms 17244 KB Output is correct
50 Correct 59 ms 34132 KB Output is correct
51 Correct 92 ms 51024 KB Output is correct
52 Correct 88 ms 51020 KB Output is correct
53 Correct 90 ms 50920 KB Output is correct
54 Correct 87 ms 51024 KB Output is correct
55 Correct 88 ms 50772 KB Output is correct
56 Correct 89 ms 50796 KB Output is correct
57 Correct 90 ms 51012 KB Output is correct
58 Correct 93 ms 51004 KB Output is correct
59 Correct 91 ms 50924 KB Output is correct
60 Correct 96 ms 50964 KB Output is correct
61 Correct 97 ms 50948 KB Output is correct
62 Correct 97 ms 50924 KB Output is correct
63 Correct 93 ms 51024 KB Output is correct
64 Correct 97 ms 50928 KB Output is correct
65 Correct 94 ms 51024 KB Output is correct
66 Correct 99 ms 50772 KB Output is correct
67 Correct 95 ms 50900 KB Output is correct
68 Correct 96 ms 50768 KB Output is correct
69 Correct 94 ms 51024 KB Output is correct
70 Correct 96 ms 50920 KB Output is correct
71 Correct 19 ms 8924 KB Output is correct
72 Correct 19 ms 8964 KB Output is correct
73 Correct 19 ms 9052 KB Output is correct
74 Correct 20 ms 9044 KB Output is correct
75 Correct 19 ms 9052 KB Output is correct
76 Correct 47 ms 17728 KB Output is correct
77 Correct 43 ms 17448 KB Output is correct
78 Correct 43 ms 17496 KB Output is correct
79 Correct 44 ms 17452 KB Output is correct
80 Correct 44 ms 17492 KB Output is correct
81 Correct 94 ms 34640 KB Output is correct
82 Correct 94 ms 34640 KB Output is correct
83 Correct 93 ms 34744 KB Output is correct
84 Correct 90 ms 34640 KB Output is correct
85 Correct 90 ms 34856 KB Output is correct
86 Correct 103 ms 35412 KB Output is correct
87 Correct 104 ms 35408 KB Output is correct
88 Correct 104 ms 35364 KB Output is correct
89 Correct 105 ms 35372 KB Output is correct
90 Correct 106 ms 35408 KB Output is correct
91 Correct 240 ms 56404 KB Output is correct
92 Correct 233 ms 56192 KB Output is correct
93 Correct 242 ms 56400 KB Output is correct
94 Correct 238 ms 56400 KB Output is correct
95 Correct 238 ms 56400 KB Output is correct
96 Correct 288 ms 61616 KB Output is correct
97 Correct 295 ms 61780 KB Output is correct
98 Correct 281 ms 61596 KB Output is correct
99 Correct 267 ms 61524 KB Output is correct
100 Correct 297 ms 61520 KB Output is correct
101 Correct 322 ms 61524 KB Output is correct
102 Correct 285 ms 61540 KB Output is correct
103 Correct 275 ms 61524 KB Output is correct
104 Correct 266 ms 61516 KB Output is correct
105 Correct 271 ms 61520 KB Output is correct
106 Correct 314 ms 64080 KB Output is correct
107 Correct 295 ms 64080 KB Output is correct
108 Correct 294 ms 64080 KB Output is correct
109 Correct 276 ms 64084 KB Output is correct
110 Correct 300 ms 64080 KB Output is correct
111 Correct 297 ms 64084 KB Output is correct
112 Correct 313 ms 64084 KB Output is correct
113 Correct 304 ms 64164 KB Output is correct
114 Correct 310 ms 64084 KB Output is correct
115 Correct 313 ms 64336 KB Output is correct
116 Correct 328 ms 3924 KB Output is correct
117 Correct 511 ms 3920 KB Output is correct
118 Correct 501 ms 11088 KB Output is correct
119 Correct 1096 ms 11016 KB Output is correct
120 Correct 1336 ms 11044 KB Output is correct
121 Correct 2354 ms 19472 KB Output is correct
122 Correct 2913 ms 19568 KB Output is correct
123 Correct 5749 ms 36276 KB Output is correct
124 Execution timed out 7055 ms 36184 KB Time limit exceeded
125 Halted 0 ms 0 KB -