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Submission #1097558

# Submission time Handle Problem Language Result Execution time Memory
1097558 2024-10-07T14:55:22 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 64376 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){
    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 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 404 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 0 ms 468 KB Output is correct
10 Correct 0 ms 464 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 2076 KB Output is correct
4 Correct 21 ms 16988 KB Output is correct
5 Correct 42 ms 33624 KB Output is correct
6 Correct 65 ms 50308 KB Output is correct
7 Correct 64 ms 50388 KB Output is correct
8 Correct 68 ms 50268 KB Output is correct
9 Correct 64 ms 50204 KB Output is correct
10 Correct 66 ms 50388 KB Output is correct
11 Correct 76 ms 50424 KB Output is correct
12 Correct 69 ms 50304 KB Output is correct
13 Correct 73 ms 50516 KB Output is correct
14 Correct 63 ms 50260 KB Output is correct
15 Correct 65 ms 50420 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 2076 KB Output is correct
4 Correct 21 ms 16988 KB Output is correct
5 Correct 42 ms 33624 KB Output is correct
6 Correct 65 ms 50308 KB Output is correct
7 Correct 64 ms 50388 KB Output is correct
8 Correct 68 ms 50268 KB Output is correct
9 Correct 64 ms 50204 KB Output is correct
10 Correct 66 ms 50388 KB Output is correct
11 Correct 76 ms 50424 KB Output is correct
12 Correct 69 ms 50304 KB Output is correct
13 Correct 73 ms 50516 KB Output is correct
14 Correct 63 ms 50260 KB Output is correct
15 Correct 65 ms 50420 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 3 ms 2140 KB Output is correct
19 Correct 21 ms 17228 KB Output is correct
20 Correct 46 ms 33912 KB Output is correct
21 Correct 70 ms 50516 KB Output is correct
22 Correct 68 ms 50584 KB Output is correct
23 Correct 69 ms 50460 KB Output is correct
24 Correct 69 ms 50512 KB Output is correct
25 Correct 68 ms 50468 KB Output is correct
26 Correct 66 ms 50512 KB Output is correct
27 Correct 67 ms 50560 KB Output is correct
28 Correct 69 ms 50404 KB Output is correct
29 Correct 68 ms 50516 KB Output is correct
30 Correct 68 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 2076 KB Output is correct
4 Correct 21 ms 16988 KB Output is correct
5 Correct 42 ms 33624 KB Output is correct
6 Correct 65 ms 50308 KB Output is correct
7 Correct 64 ms 50388 KB Output is correct
8 Correct 68 ms 50268 KB Output is correct
9 Correct 64 ms 50204 KB Output is correct
10 Correct 66 ms 50388 KB Output is correct
11 Correct 76 ms 50424 KB Output is correct
12 Correct 69 ms 50304 KB Output is correct
13 Correct 73 ms 50516 KB Output is correct
14 Correct 63 ms 50260 KB Output is correct
15 Correct 65 ms 50420 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 3 ms 2140 KB Output is correct
19 Correct 21 ms 17228 KB Output is correct
20 Correct 46 ms 33912 KB Output is correct
21 Correct 70 ms 50516 KB Output is correct
22 Correct 68 ms 50584 KB Output is correct
23 Correct 69 ms 50460 KB Output is correct
24 Correct 69 ms 50512 KB Output is correct
25 Correct 68 ms 50468 KB Output is correct
26 Correct 66 ms 50512 KB Output is correct
27 Correct 67 ms 50560 KB Output is correct
28 Correct 69 ms 50404 KB Output is correct
29 Correct 68 ms 50516 KB Output is correct
30 Correct 68 ms 50512 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 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 16 ms 8980 KB Output is correct
38 Correct 17 ms 8796 KB Output is correct
39 Correct 33 ms 17324 KB Output is correct
40 Correct 61 ms 34168 KB Output is correct
41 Correct 109 ms 51004 KB Output is correct
42 Correct 93 ms 51024 KB Output is correct
43 Correct 88 ms 51000 KB Output is correct
44 Correct 89 ms 50928 KB Output is correct
45 Correct 90 ms 51028 KB Output is correct
46 Correct 92 ms 51024 KB Output is correct
47 Correct 92 ms 50772 KB Output is correct
48 Correct 90 ms 51024 KB Output is correct
49 Correct 90 ms 50924 KB Output is correct
50 Correct 87 ms 50772 KB Output is correct
51 Correct 90 ms 50932 KB Output is correct
52 Correct 88 ms 50772 KB Output is correct
53 Correct 93 ms 50780 KB Output is correct
54 Correct 110 ms 50860 KB Output is correct
55 Correct 97 ms 51024 KB Output is correct
56 Correct 95 ms 50920 KB Output is correct
57 Correct 98 ms 50780 KB Output is correct
58 Correct 94 ms 50768 KB Output is correct
59 Correct 93 ms 51024 KB Output is correct
60 Correct 99 ms 51024 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 404 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 0 ms 468 KB Output is correct
10 Correct 0 ms 464 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 2076 KB Output is correct
14 Correct 21 ms 16988 KB Output is correct
15 Correct 42 ms 33624 KB Output is correct
16 Correct 65 ms 50308 KB Output is correct
17 Correct 64 ms 50388 KB Output is correct
18 Correct 68 ms 50268 KB Output is correct
19 Correct 64 ms 50204 KB Output is correct
20 Correct 66 ms 50388 KB Output is correct
21 Correct 76 ms 50424 KB Output is correct
22 Correct 69 ms 50304 KB Output is correct
23 Correct 73 ms 50516 KB Output is correct
24 Correct 63 ms 50260 KB Output is correct
25 Correct 65 ms 50420 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 3 ms 2140 KB Output is correct
29 Correct 21 ms 17228 KB Output is correct
30 Correct 46 ms 33912 KB Output is correct
31 Correct 70 ms 50516 KB Output is correct
32 Correct 68 ms 50584 KB Output is correct
33 Correct 69 ms 50460 KB Output is correct
34 Correct 69 ms 50512 KB Output is correct
35 Correct 68 ms 50468 KB Output is correct
36 Correct 66 ms 50512 KB Output is correct
37 Correct 67 ms 50560 KB Output is correct
38 Correct 69 ms 50404 KB Output is correct
39 Correct 68 ms 50516 KB Output is correct
40 Correct 68 ms 50512 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 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 16 ms 8980 KB Output is correct
48 Correct 17 ms 8796 KB Output is correct
49 Correct 33 ms 17324 KB Output is correct
50 Correct 61 ms 34168 KB Output is correct
51 Correct 109 ms 51004 KB Output is correct
52 Correct 93 ms 51024 KB Output is correct
53 Correct 88 ms 51000 KB Output is correct
54 Correct 89 ms 50928 KB Output is correct
55 Correct 90 ms 51028 KB Output is correct
56 Correct 92 ms 51024 KB Output is correct
57 Correct 92 ms 50772 KB Output is correct
58 Correct 90 ms 51024 KB Output is correct
59 Correct 90 ms 50924 KB Output is correct
60 Correct 87 ms 50772 KB Output is correct
61 Correct 90 ms 50932 KB Output is correct
62 Correct 88 ms 50772 KB Output is correct
63 Correct 93 ms 50780 KB Output is correct
64 Correct 110 ms 50860 KB Output is correct
65 Correct 97 ms 51024 KB Output is correct
66 Correct 95 ms 50920 KB Output is correct
67 Correct 98 ms 50780 KB Output is correct
68 Correct 94 ms 50768 KB Output is correct
69 Correct 93 ms 51024 KB Output is correct
70 Correct 99 ms 51024 KB Output is correct
71 Correct 20 ms 8844 KB Output is correct
72 Correct 19 ms 9048 KB Output is correct
73 Correct 19 ms 9052 KB Output is correct
74 Correct 19 ms 9304 KB Output is correct
75 Correct 20 ms 9080 KB Output is correct
76 Correct 43 ms 17448 KB Output is correct
77 Correct 43 ms 17500 KB Output is correct
78 Correct 43 ms 17496 KB Output is correct
79 Correct 44 ms 17608 KB Output is correct
80 Correct 42 ms 17496 KB Output is correct
81 Correct 95 ms 34780 KB Output is correct
82 Correct 95 ms 34716 KB Output is correct
83 Correct 97 ms 34640 KB Output is correct
84 Correct 98 ms 34668 KB Output is correct
85 Correct 94 ms 34644 KB Output is correct
86 Correct 115 ms 35408 KB Output is correct
87 Correct 118 ms 35340 KB Output is correct
88 Correct 113 ms 35316 KB Output is correct
89 Correct 108 ms 35408 KB Output is correct
90 Correct 112 ms 35408 KB Output is correct
91 Correct 242 ms 56404 KB Output is correct
92 Correct 247 ms 56460 KB Output is correct
93 Correct 255 ms 56400 KB Output is correct
94 Correct 242 ms 56492 KB Output is correct
95 Correct 244 ms 56612 KB Output is correct
96 Correct 285 ms 61780 KB Output is correct
97 Correct 271 ms 61672 KB Output is correct
98 Correct 290 ms 61776 KB Output is correct
99 Correct 325 ms 61820 KB Output is correct
100 Correct 267 ms 61648 KB Output is correct
101 Correct 276 ms 61672 KB Output is correct
102 Correct 276 ms 61776 KB Output is correct
103 Correct 307 ms 61796 KB Output is correct
104 Correct 291 ms 61780 KB Output is correct
105 Correct 284 ms 61644 KB Output is correct
106 Correct 319 ms 64340 KB Output is correct
107 Correct 296 ms 64340 KB Output is correct
108 Correct 339 ms 64336 KB Output is correct
109 Correct 292 ms 64336 KB Output is correct
110 Correct 301 ms 64360 KB Output is correct
111 Correct 297 ms 64376 KB Output is correct
112 Correct 289 ms 64340 KB Output is correct
113 Correct 295 ms 64336 KB Output is correct
114 Correct 288 ms 64312 KB Output is correct
115 Correct 278 ms 64336 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 404 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 0 ms 468 KB Output is correct
10 Correct 0 ms 464 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 2076 KB Output is correct
14 Correct 21 ms 16988 KB Output is correct
15 Correct 42 ms 33624 KB Output is correct
16 Correct 65 ms 50308 KB Output is correct
17 Correct 64 ms 50388 KB Output is correct
18 Correct 68 ms 50268 KB Output is correct
19 Correct 64 ms 50204 KB Output is correct
20 Correct 66 ms 50388 KB Output is correct
21 Correct 76 ms 50424 KB Output is correct
22 Correct 69 ms 50304 KB Output is correct
23 Correct 73 ms 50516 KB Output is correct
24 Correct 63 ms 50260 KB Output is correct
25 Correct 65 ms 50420 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 3 ms 2140 KB Output is correct
29 Correct 21 ms 17228 KB Output is correct
30 Correct 46 ms 33912 KB Output is correct
31 Correct 70 ms 50516 KB Output is correct
32 Correct 68 ms 50584 KB Output is correct
33 Correct 69 ms 50460 KB Output is correct
34 Correct 69 ms 50512 KB Output is correct
35 Correct 68 ms 50468 KB Output is correct
36 Correct 66 ms 50512 KB Output is correct
37 Correct 67 ms 50560 KB Output is correct
38 Correct 69 ms 50404 KB Output is correct
39 Correct 68 ms 50516 KB Output is correct
40 Correct 68 ms 50512 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 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 16 ms 8980 KB Output is correct
48 Correct 17 ms 8796 KB Output is correct
49 Correct 33 ms 17324 KB Output is correct
50 Correct 61 ms 34168 KB Output is correct
51 Correct 109 ms 51004 KB Output is correct
52 Correct 93 ms 51024 KB Output is correct
53 Correct 88 ms 51000 KB Output is correct
54 Correct 89 ms 50928 KB Output is correct
55 Correct 90 ms 51028 KB Output is correct
56 Correct 92 ms 51024 KB Output is correct
57 Correct 92 ms 50772 KB Output is correct
58 Correct 90 ms 51024 KB Output is correct
59 Correct 90 ms 50924 KB Output is correct
60 Correct 87 ms 50772 KB Output is correct
61 Correct 90 ms 50932 KB Output is correct
62 Correct 88 ms 50772 KB Output is correct
63 Correct 93 ms 50780 KB Output is correct
64 Correct 110 ms 50860 KB Output is correct
65 Correct 97 ms 51024 KB Output is correct
66 Correct 95 ms 50920 KB Output is correct
67 Correct 98 ms 50780 KB Output is correct
68 Correct 94 ms 50768 KB Output is correct
69 Correct 93 ms 51024 KB Output is correct
70 Correct 99 ms 51024 KB Output is correct
71 Correct 20 ms 8844 KB Output is correct
72 Correct 19 ms 9048 KB Output is correct
73 Correct 19 ms 9052 KB Output is correct
74 Correct 19 ms 9304 KB Output is correct
75 Correct 20 ms 9080 KB Output is correct
76 Correct 43 ms 17448 KB Output is correct
77 Correct 43 ms 17500 KB Output is correct
78 Correct 43 ms 17496 KB Output is correct
79 Correct 44 ms 17608 KB Output is correct
80 Correct 42 ms 17496 KB Output is correct
81 Correct 95 ms 34780 KB Output is correct
82 Correct 95 ms 34716 KB Output is correct
83 Correct 97 ms 34640 KB Output is correct
84 Correct 98 ms 34668 KB Output is correct
85 Correct 94 ms 34644 KB Output is correct
86 Correct 115 ms 35408 KB Output is correct
87 Correct 118 ms 35340 KB Output is correct
88 Correct 113 ms 35316 KB Output is correct
89 Correct 108 ms 35408 KB Output is correct
90 Correct 112 ms 35408 KB Output is correct
91 Correct 242 ms 56404 KB Output is correct
92 Correct 247 ms 56460 KB Output is correct
93 Correct 255 ms 56400 KB Output is correct
94 Correct 242 ms 56492 KB Output is correct
95 Correct 244 ms 56612 KB Output is correct
96 Correct 285 ms 61780 KB Output is correct
97 Correct 271 ms 61672 KB Output is correct
98 Correct 290 ms 61776 KB Output is correct
99 Correct 325 ms 61820 KB Output is correct
100 Correct 267 ms 61648 KB Output is correct
101 Correct 276 ms 61672 KB Output is correct
102 Correct 276 ms 61776 KB Output is correct
103 Correct 307 ms 61796 KB Output is correct
104 Correct 291 ms 61780 KB Output is correct
105 Correct 284 ms 61644 KB Output is correct
106 Correct 319 ms 64340 KB Output is correct
107 Correct 296 ms 64340 KB Output is correct
108 Correct 339 ms 64336 KB Output is correct
109 Correct 292 ms 64336 KB Output is correct
110 Correct 301 ms 64360 KB Output is correct
111 Correct 297 ms 64376 KB Output is correct
112 Correct 289 ms 64340 KB Output is correct
113 Correct 295 ms 64336 KB Output is correct
114 Correct 288 ms 64312 KB Output is correct
115 Correct 278 ms 64336 KB Output is correct
116 Correct 331 ms 3924 KB Output is correct
117 Correct 512 ms 3920 KB Output is correct
118 Correct 644 ms 10956 KB Output is correct
119 Correct 1383 ms 10832 KB Output is correct
120 Correct 1741 ms 11084 KB Output is correct
121 Correct 3652 ms 19472 KB Output is correct
122 Correct 4625 ms 19492 KB Output is correct
123 Execution timed out 7032 ms 35816 KB Time limit exceeded
124 Halted 0 ms 0 KB -