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Submission #1097478

# Submission time Handle Problem Language Result Execution time Memory
1097478 2024-10-07T12:55:27 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 64312 KB 
#include<bits/stdc++.h>

#define MAXN 300007
using namespace std;

const int bucket_sz=550;

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){
    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];
    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]-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];
    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]+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 1 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 2228 KB Output is correct
4 Correct 33 ms 17380 KB Output is correct
5 Correct 57 ms 33624 KB Output is correct
6 Correct 91 ms 50268 KB Output is correct
7 Correct 92 ms 50164 KB Output is correct
8 Correct 89 ms 50264 KB Output is correct
9 Correct 92 ms 50256 KB Output is correct
10 Correct 90 ms 50108 KB Output is correct
11 Correct 90 ms 50260 KB Output is correct
12 Correct 91 ms 50268 KB Output is correct
13 Correct 90 ms 50288 KB Output is correct
14 Correct 97 ms 50256 KB Output is correct
15 Correct 117 ms 50260 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 2228 KB Output is correct
4 Correct 33 ms 17380 KB Output is correct
5 Correct 57 ms 33624 KB Output is correct
6 Correct 91 ms 50268 KB Output is correct
7 Correct 92 ms 50164 KB Output is correct
8 Correct 89 ms 50264 KB Output is correct
9 Correct 92 ms 50256 KB Output is correct
10 Correct 90 ms 50108 KB Output is correct
11 Correct 90 ms 50260 KB Output is correct
12 Correct 91 ms 50268 KB Output is correct
13 Correct 90 ms 50288 KB Output is correct
14 Correct 97 ms 50256 KB Output is correct
15 Correct 117 ms 50260 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 33 ms 17012 KB Output is correct
20 Correct 72 ms 34132 KB Output is correct
21 Correct 105 ms 50512 KB Output is correct
22 Correct 104 ms 50436 KB Output is correct
23 Correct 101 ms 50516 KB Output is correct
24 Correct 103 ms 50512 KB Output is correct
25 Correct 104 ms 50516 KB Output is correct
26 Correct 104 ms 50300 KB Output is correct
27 Correct 101 ms 50544 KB Output is correct
28 Correct 103 ms 50260 KB Output is correct
29 Correct 107 ms 50540 KB Output is correct
30 Correct 105 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 604 KB Output is correct
3 Correct 3 ms 2228 KB Output is correct
4 Correct 33 ms 17380 KB Output is correct
5 Correct 57 ms 33624 KB Output is correct
6 Correct 91 ms 50268 KB Output is correct
7 Correct 92 ms 50164 KB Output is correct
8 Correct 89 ms 50264 KB Output is correct
9 Correct 92 ms 50256 KB Output is correct
10 Correct 90 ms 50108 KB Output is correct
11 Correct 90 ms 50260 KB Output is correct
12 Correct 91 ms 50268 KB Output is correct
13 Correct 90 ms 50288 KB Output is correct
14 Correct 97 ms 50256 KB Output is correct
15 Correct 117 ms 50260 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 33 ms 17012 KB Output is correct
20 Correct 72 ms 34132 KB Output is correct
21 Correct 105 ms 50512 KB Output is correct
22 Correct 104 ms 50436 KB Output is correct
23 Correct 101 ms 50516 KB Output is correct
24 Correct 103 ms 50512 KB Output is correct
25 Correct 104 ms 50516 KB Output is correct
26 Correct 104 ms 50300 KB Output is correct
27 Correct 101 ms 50544 KB Output is correct
28 Correct 103 ms 50260 KB Output is correct
29 Correct 107 ms 50540 KB Output is correct
30 Correct 105 ms 50512 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 724 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 2248 KB Output is correct
37 Correct 19 ms 8796 KB Output is correct
38 Correct 21 ms 8932 KB Output is correct
39 Correct 48 ms 17396 KB Output is correct
40 Correct 80 ms 33876 KB Output is correct
41 Correct 111 ms 50512 KB Output is correct
42 Correct 112 ms 50612 KB Output is correct
43 Correct 120 ms 50512 KB Output is correct
44 Correct 110 ms 50568 KB Output is correct
45 Correct 110 ms 50516 KB Output is correct
46 Correct 110 ms 50552 KB Output is correct
47 Correct 110 ms 50780 KB Output is correct
48 Correct 111 ms 50768 KB Output is correct
49 Correct 113 ms 50772 KB Output is correct
50 Correct 110 ms 50940 KB Output is correct
51 Correct 110 ms 50936 KB Output is correct
52 Correct 117 ms 51024 KB Output is correct
53 Correct 121 ms 50772 KB Output is correct
54 Correct 128 ms 50928 KB Output is correct
55 Correct 122 ms 51016 KB Output is correct
56 Correct 117 ms 51008 KB Output is correct
57 Correct 135 ms 50924 KB Output is correct
58 Correct 115 ms 50928 KB Output is correct
59 Correct 114 ms 51028 KB Output is correct
60 Correct 118 ms 51028 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 1 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 2228 KB Output is correct
14 Correct 33 ms 17380 KB Output is correct
15 Correct 57 ms 33624 KB Output is correct
16 Correct 91 ms 50268 KB Output is correct
17 Correct 92 ms 50164 KB Output is correct
18 Correct 89 ms 50264 KB Output is correct
19 Correct 92 ms 50256 KB Output is correct
20 Correct 90 ms 50108 KB Output is correct
21 Correct 90 ms 50260 KB Output is correct
22 Correct 91 ms 50268 KB Output is correct
23 Correct 90 ms 50288 KB Output is correct
24 Correct 97 ms 50256 KB Output is correct
25 Correct 117 ms 50260 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 33 ms 17012 KB Output is correct
30 Correct 72 ms 34132 KB Output is correct
31 Correct 105 ms 50512 KB Output is correct
32 Correct 104 ms 50436 KB Output is correct
33 Correct 101 ms 50516 KB Output is correct
34 Correct 103 ms 50512 KB Output is correct
35 Correct 104 ms 50516 KB Output is correct
36 Correct 104 ms 50300 KB Output is correct
37 Correct 101 ms 50544 KB Output is correct
38 Correct 103 ms 50260 KB Output is correct
39 Correct 107 ms 50540 KB Output is correct
40 Correct 105 ms 50512 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 724 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 2248 KB Output is correct
47 Correct 19 ms 8796 KB Output is correct
48 Correct 21 ms 8932 KB Output is correct
49 Correct 48 ms 17396 KB Output is correct
50 Correct 80 ms 33876 KB Output is correct
51 Correct 111 ms 50512 KB Output is correct
52 Correct 112 ms 50612 KB Output is correct
53 Correct 120 ms 50512 KB Output is correct
54 Correct 110 ms 50568 KB Output is correct
55 Correct 110 ms 50516 KB Output is correct
56 Correct 110 ms 50552 KB Output is correct
57 Correct 110 ms 50780 KB Output is correct
58 Correct 111 ms 50768 KB Output is correct
59 Correct 113 ms 50772 KB Output is correct
60 Correct 110 ms 50940 KB Output is correct
61 Correct 110 ms 50936 KB Output is correct
62 Correct 117 ms 51024 KB Output is correct
63 Correct 121 ms 50772 KB Output is correct
64 Correct 128 ms 50928 KB Output is correct
65 Correct 122 ms 51016 KB Output is correct
66 Correct 117 ms 51008 KB Output is correct
67 Correct 135 ms 50924 KB Output is correct
68 Correct 115 ms 50928 KB Output is correct
69 Correct 114 ms 51028 KB Output is correct
70 Correct 118 ms 51028 KB Output is correct
71 Correct 21 ms 9048 KB Output is correct
72 Correct 21 ms 9052 KB Output is correct
73 Correct 20 ms 9052 KB Output is correct
74 Correct 20 ms 9052 KB Output is correct
75 Correct 20 ms 9048 KB Output is correct
76 Correct 45 ms 17500 KB Output is correct
77 Correct 48 ms 17492 KB Output is correct
78 Correct 45 ms 17656 KB Output is correct
79 Correct 44 ms 17488 KB Output is correct
80 Correct 46 ms 17492 KB Output is correct
81 Correct 105 ms 34640 KB Output is correct
82 Correct 101 ms 34828 KB Output is correct
83 Correct 102 ms 34640 KB Output is correct
84 Correct 103 ms 34804 KB Output is correct
85 Correct 101 ms 34640 KB Output is correct
86 Correct 124 ms 35412 KB Output is correct
87 Correct 117 ms 35268 KB Output is correct
88 Correct 109 ms 35408 KB Output is correct
89 Correct 111 ms 35420 KB Output is correct
90 Correct 109 ms 35288 KB Output is correct
91 Correct 249 ms 56408 KB Output is correct
92 Correct 257 ms 56404 KB Output is correct
93 Correct 235 ms 56400 KB Output is correct
94 Correct 254 ms 56400 KB Output is correct
95 Correct 246 ms 56316 KB Output is correct
96 Correct 310 ms 61524 KB Output is correct
97 Correct 315 ms 61524 KB Output is correct
98 Correct 304 ms 61524 KB Output is correct
99 Correct 303 ms 61524 KB Output is correct
100 Correct 313 ms 61524 KB Output is correct
101 Correct 299 ms 61520 KB Output is correct
102 Correct 319 ms 61576 KB Output is correct
103 Correct 314 ms 61520 KB Output is correct
104 Correct 321 ms 61520 KB Output is correct
105 Correct 305 ms 61520 KB Output is correct
106 Correct 294 ms 64168 KB Output is correct
107 Correct 297 ms 64080 KB Output is correct
108 Correct 295 ms 64312 KB Output is correct
109 Correct 307 ms 64276 KB Output is correct
110 Correct 291 ms 64280 KB Output is correct
111 Correct 299 ms 64084 KB Output is correct
112 Correct 307 ms 64172 KB Output is correct
113 Correct 341 ms 64084 KB Output is correct
114 Correct 311 ms 64096 KB Output is correct
115 Correct 320 ms 64084 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 1 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 2228 KB Output is correct
14 Correct 33 ms 17380 KB Output is correct
15 Correct 57 ms 33624 KB Output is correct
16 Correct 91 ms 50268 KB Output is correct
17 Correct 92 ms 50164 KB Output is correct
18 Correct 89 ms 50264 KB Output is correct
19 Correct 92 ms 50256 KB Output is correct
20 Correct 90 ms 50108 KB Output is correct
21 Correct 90 ms 50260 KB Output is correct
22 Correct 91 ms 50268 KB Output is correct
23 Correct 90 ms 50288 KB Output is correct
24 Correct 97 ms 50256 KB Output is correct
25 Correct 117 ms 50260 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 33 ms 17012 KB Output is correct
30 Correct 72 ms 34132 KB Output is correct
31 Correct 105 ms 50512 KB Output is correct
32 Correct 104 ms 50436 KB Output is correct
33 Correct 101 ms 50516 KB Output is correct
34 Correct 103 ms 50512 KB Output is correct
35 Correct 104 ms 50516 KB Output is correct
36 Correct 104 ms 50300 KB Output is correct
37 Correct 101 ms 50544 KB Output is correct
38 Correct 103 ms 50260 KB Output is correct
39 Correct 107 ms 50540 KB Output is correct
40 Correct 105 ms 50512 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 724 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 2248 KB Output is correct
47 Correct 19 ms 8796 KB Output is correct
48 Correct 21 ms 8932 KB Output is correct
49 Correct 48 ms 17396 KB Output is correct
50 Correct 80 ms 33876 KB Output is correct
51 Correct 111 ms 50512 KB Output is correct
52 Correct 112 ms 50612 KB Output is correct
53 Correct 120 ms 50512 KB Output is correct
54 Correct 110 ms 50568 KB Output is correct
55 Correct 110 ms 50516 KB Output is correct
56 Correct 110 ms 50552 KB Output is correct
57 Correct 110 ms 50780 KB Output is correct
58 Correct 111 ms 50768 KB Output is correct
59 Correct 113 ms 50772 KB Output is correct
60 Correct 110 ms 50940 KB Output is correct
61 Correct 110 ms 50936 KB Output is correct
62 Correct 117 ms 51024 KB Output is correct
63 Correct 121 ms 50772 KB Output is correct
64 Correct 128 ms 50928 KB Output is correct
65 Correct 122 ms 51016 KB Output is correct
66 Correct 117 ms 51008 KB Output is correct
67 Correct 135 ms 50924 KB Output is correct
68 Correct 115 ms 50928 KB Output is correct
69 Correct 114 ms 51028 KB Output is correct
70 Correct 118 ms 51028 KB Output is correct
71 Correct 21 ms 9048 KB Output is correct
72 Correct 21 ms 9052 KB Output is correct
73 Correct 20 ms 9052 KB Output is correct
74 Correct 20 ms 9052 KB Output is correct
75 Correct 20 ms 9048 KB Output is correct
76 Correct 45 ms 17500 KB Output is correct
77 Correct 48 ms 17492 KB Output is correct
78 Correct 45 ms 17656 KB Output is correct
79 Correct 44 ms 17488 KB Output is correct
80 Correct 46 ms 17492 KB Output is correct
81 Correct 105 ms 34640 KB Output is correct
82 Correct 101 ms 34828 KB Output is correct
83 Correct 102 ms 34640 KB Output is correct
84 Correct 103 ms 34804 KB Output is correct
85 Correct 101 ms 34640 KB Output is correct
86 Correct 124 ms 35412 KB Output is correct
87 Correct 117 ms 35268 KB Output is correct
88 Correct 109 ms 35408 KB Output is correct
89 Correct 111 ms 35420 KB Output is correct
90 Correct 109 ms 35288 KB Output is correct
91 Correct 249 ms 56408 KB Output is correct
92 Correct 257 ms 56404 KB Output is correct
93 Correct 235 ms 56400 KB Output is correct
94 Correct 254 ms 56400 KB Output is correct
95 Correct 246 ms 56316 KB Output is correct
96 Correct 310 ms 61524 KB Output is correct
97 Correct 315 ms 61524 KB Output is correct
98 Correct 304 ms 61524 KB Output is correct
99 Correct 303 ms 61524 KB Output is correct
100 Correct 313 ms 61524 KB Output is correct
101 Correct 299 ms 61520 KB Output is correct
102 Correct 319 ms 61576 KB Output is correct
103 Correct 314 ms 61520 KB Output is correct
104 Correct 321 ms 61520 KB Output is correct
105 Correct 305 ms 61520 KB Output is correct
106 Correct 294 ms 64168 KB Output is correct
107 Correct 297 ms 64080 KB Output is correct
108 Correct 295 ms 64312 KB Output is correct
109 Correct 307 ms 64276 KB Output is correct
110 Correct 291 ms 64280 KB Output is correct
111 Correct 299 ms 64084 KB Output is correct
112 Correct 307 ms 64172 KB Output is correct
113 Correct 341 ms 64084 KB Output is correct
114 Correct 311 ms 64096 KB Output is correct
115 Correct 320 ms 64084 KB Output is correct
116 Correct 1033 ms 3928 KB Output is correct
117 Correct 1144 ms 3928 KB Output is correct
118 Correct 1597 ms 10832 KB Output is correct
119 Correct 2001 ms 10832 KB Output is correct
120 Correct 2245 ms 11048 KB Output is correct
121 Correct 4394 ms 19536 KB Output is correct
122 Correct 5053 ms 19536 KB Output is correct
123 Execution timed out 7062 ms 35668 KB Time limit exceeded
124 Halted 0 ms 0 KB -