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Submission #1097559

# Submission time Handle Problem Language Result Execution time Memory
1097559 2024-10-07T14:57:28 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 64436 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.r]!=bucket[sc.r])return bucket[fr.l]<bucket[sc.l];
        return fr.l<sc.l;
    }

}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 1 ms 344 KB Output is correct
2 Correct 1 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 468 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 1 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 22 ms 17128 KB Output is correct
5 Correct 46 ms 33620 KB Output is correct
6 Correct 69 ms 50260 KB Output is correct
7 Correct 64 ms 50256 KB Output is correct
8 Correct 65 ms 50260 KB Output is correct
9 Correct 65 ms 50412 KB Output is correct
10 Correct 69 ms 50244 KB Output is correct
11 Correct 66 ms 50252 KB Output is correct
12 Correct 65 ms 50256 KB Output is correct
13 Correct 65 ms 50260 KB Output is correct
14 Correct 59 ms 50264 KB Output is correct
15 Correct 59 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 3 ms 2140 KB Output is correct
4 Correct 22 ms 17128 KB Output is correct
5 Correct 46 ms 33620 KB Output is correct
6 Correct 69 ms 50260 KB Output is correct
7 Correct 64 ms 50256 KB Output is correct
8 Correct 65 ms 50260 KB Output is correct
9 Correct 65 ms 50412 KB Output is correct
10 Correct 69 ms 50244 KB Output is correct
11 Correct 66 ms 50252 KB Output is correct
12 Correct 65 ms 50256 KB Output is correct
13 Correct 65 ms 50260 KB Output is correct
14 Correct 59 ms 50264 KB Output is correct
15 Correct 59 ms 50260 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 604 KB Output is correct
18 Correct 2 ms 2140 KB Output is correct
19 Correct 19 ms 17028 KB Output is correct
20 Correct 38 ms 33892 KB Output is correct
21 Correct 62 ms 50636 KB Output is correct
22 Correct 62 ms 50568 KB Output is correct
23 Correct 63 ms 50556 KB Output is correct
24 Correct 62 ms 50512 KB Output is correct
25 Correct 62 ms 50524 KB Output is correct
26 Correct 63 ms 50512 KB Output is correct
27 Correct 61 ms 50604 KB Output is correct
28 Correct 62 ms 50516 KB Output is correct
29 Correct 62 ms 50332 KB Output is correct
30 Correct 61 ms 50516 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 22 ms 17128 KB Output is correct
5 Correct 46 ms 33620 KB Output is correct
6 Correct 69 ms 50260 KB Output is correct
7 Correct 64 ms 50256 KB Output is correct
8 Correct 65 ms 50260 KB Output is correct
9 Correct 65 ms 50412 KB Output is correct
10 Correct 69 ms 50244 KB Output is correct
11 Correct 66 ms 50252 KB Output is correct
12 Correct 65 ms 50256 KB Output is correct
13 Correct 65 ms 50260 KB Output is correct
14 Correct 59 ms 50264 KB Output is correct
15 Correct 59 ms 50260 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 604 KB Output is correct
18 Correct 2 ms 2140 KB Output is correct
19 Correct 19 ms 17028 KB Output is correct
20 Correct 38 ms 33892 KB Output is correct
21 Correct 62 ms 50636 KB Output is correct
22 Correct 62 ms 50568 KB Output is correct
23 Correct 63 ms 50556 KB Output is correct
24 Correct 62 ms 50512 KB Output is correct
25 Correct 62 ms 50524 KB Output is correct
26 Correct 63 ms 50512 KB Output is correct
27 Correct 61 ms 50604 KB Output is correct
28 Correct 62 ms 50516 KB Output is correct
29 Correct 62 ms 50332 KB Output is correct
30 Correct 61 ms 50516 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 2140 KB Output is correct
36 Correct 4 ms 2284 KB Output is correct
37 Correct 14 ms 8928 KB Output is correct
38 Correct 17 ms 8792 KB Output is correct
39 Correct 31 ms 17416 KB Output is correct
40 Correct 59 ms 34228 KB Output is correct
41 Correct 89 ms 50924 KB Output is correct
42 Correct 88 ms 51024 KB Output is correct
43 Correct 90 ms 50772 KB Output is correct
44 Correct 89 ms 51024 KB Output is correct
45 Correct 89 ms 50924 KB Output is correct
46 Correct 101 ms 51024 KB Output is correct
47 Correct 92 ms 50924 KB Output is correct
48 Correct 96 ms 50768 KB Output is correct
49 Correct 100 ms 50772 KB Output is correct
50 Correct 93 ms 50780 KB Output is correct
51 Correct 102 ms 51168 KB Output is correct
52 Correct 95 ms 51024 KB Output is correct
53 Correct 97 ms 50772 KB Output is correct
54 Correct 93 ms 50780 KB Output is correct
55 Correct 90 ms 50772 KB Output is correct
56 Correct 91 ms 51008 KB Output is correct
57 Correct 96 ms 50984 KB Output is correct
58 Correct 95 ms 50852 KB Output is correct
59 Correct 94 ms 50984 KB Output is correct
60 Correct 94 ms 50988 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 1 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 468 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 1 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 22 ms 17128 KB Output is correct
15 Correct 46 ms 33620 KB Output is correct
16 Correct 69 ms 50260 KB Output is correct
17 Correct 64 ms 50256 KB Output is correct
18 Correct 65 ms 50260 KB Output is correct
19 Correct 65 ms 50412 KB Output is correct
20 Correct 69 ms 50244 KB Output is correct
21 Correct 66 ms 50252 KB Output is correct
22 Correct 65 ms 50256 KB Output is correct
23 Correct 65 ms 50260 KB Output is correct
24 Correct 59 ms 50264 KB Output is correct
25 Correct 59 ms 50260 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 604 KB Output is correct
28 Correct 2 ms 2140 KB Output is correct
29 Correct 19 ms 17028 KB Output is correct
30 Correct 38 ms 33892 KB Output is correct
31 Correct 62 ms 50636 KB Output is correct
32 Correct 62 ms 50568 KB Output is correct
33 Correct 63 ms 50556 KB Output is correct
34 Correct 62 ms 50512 KB Output is correct
35 Correct 62 ms 50524 KB Output is correct
36 Correct 63 ms 50512 KB Output is correct
37 Correct 61 ms 50604 KB Output is correct
38 Correct 62 ms 50516 KB Output is correct
39 Correct 62 ms 50332 KB Output is correct
40 Correct 61 ms 50516 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 2140 KB Output is correct
46 Correct 4 ms 2284 KB Output is correct
47 Correct 14 ms 8928 KB Output is correct
48 Correct 17 ms 8792 KB Output is correct
49 Correct 31 ms 17416 KB Output is correct
50 Correct 59 ms 34228 KB Output is correct
51 Correct 89 ms 50924 KB Output is correct
52 Correct 88 ms 51024 KB Output is correct
53 Correct 90 ms 50772 KB Output is correct
54 Correct 89 ms 51024 KB Output is correct
55 Correct 89 ms 50924 KB Output is correct
56 Correct 101 ms 51024 KB Output is correct
57 Correct 92 ms 50924 KB Output is correct
58 Correct 96 ms 50768 KB Output is correct
59 Correct 100 ms 50772 KB Output is correct
60 Correct 93 ms 50780 KB Output is correct
61 Correct 102 ms 51168 KB Output is correct
62 Correct 95 ms 51024 KB Output is correct
63 Correct 97 ms 50772 KB Output is correct
64 Correct 93 ms 50780 KB Output is correct
65 Correct 90 ms 50772 KB Output is correct
66 Correct 91 ms 51008 KB Output is correct
67 Correct 96 ms 50984 KB Output is correct
68 Correct 95 ms 50852 KB Output is correct
69 Correct 94 ms 50984 KB Output is correct
70 Correct 94 ms 50988 KB Output is correct
71 Correct 20 ms 9048 KB Output is correct
72 Correct 19 ms 9052 KB Output is correct
73 Correct 19 ms 9048 KB Output is correct
74 Correct 19 ms 9052 KB Output is correct
75 Correct 19 ms 9076 KB Output is correct
76 Correct 40 ms 17440 KB Output is correct
77 Correct 41 ms 17496 KB Output is correct
78 Correct 43 ms 17500 KB Output is correct
79 Correct 44 ms 17684 KB Output is correct
80 Correct 40 ms 17496 KB Output is correct
81 Correct 90 ms 34640 KB Output is correct
82 Correct 91 ms 34832 KB Output is correct
83 Correct 92 ms 34852 KB Output is correct
84 Correct 96 ms 34644 KB Output is correct
85 Correct 91 ms 34652 KB Output is correct
86 Correct 105 ms 35412 KB Output is correct
87 Correct 107 ms 35412 KB Output is correct
88 Correct 104 ms 35412 KB Output is correct
89 Correct 109 ms 35440 KB Output is correct
90 Correct 105 ms 35412 KB Output is correct
91 Correct 234 ms 56400 KB Output is correct
92 Correct 244 ms 56380 KB Output is correct
93 Correct 238 ms 56376 KB Output is correct
94 Correct 245 ms 56408 KB Output is correct
95 Correct 238 ms 56400 KB Output is correct
96 Correct 301 ms 61696 KB Output is correct
97 Correct 279 ms 61780 KB Output is correct
98 Correct 278 ms 61780 KB Output is correct
99 Correct 272 ms 61676 KB Output is correct
100 Correct 275 ms 61780 KB Output is correct
101 Correct 274 ms 61780 KB Output is correct
102 Correct 287 ms 61776 KB Output is correct
103 Correct 271 ms 61524 KB Output is correct
104 Correct 273 ms 61836 KB Output is correct
105 Correct 271 ms 61520 KB Output is correct
106 Correct 311 ms 64084 KB Output is correct
107 Correct 322 ms 64436 KB Output is correct
108 Correct 317 ms 64336 KB Output is correct
109 Correct 307 ms 64084 KB Output is correct
110 Correct 358 ms 64088 KB Output is correct
111 Correct 295 ms 64084 KB Output is correct
112 Correct 302 ms 64208 KB Output is correct
113 Correct 281 ms 64300 KB Output is correct
114 Correct 286 ms 64276 KB Output is correct
115 Correct 278 ms 64080 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 1 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 468 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 1 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 22 ms 17128 KB Output is correct
15 Correct 46 ms 33620 KB Output is correct
16 Correct 69 ms 50260 KB Output is correct
17 Correct 64 ms 50256 KB Output is correct
18 Correct 65 ms 50260 KB Output is correct
19 Correct 65 ms 50412 KB Output is correct
20 Correct 69 ms 50244 KB Output is correct
21 Correct 66 ms 50252 KB Output is correct
22 Correct 65 ms 50256 KB Output is correct
23 Correct 65 ms 50260 KB Output is correct
24 Correct 59 ms 50264 KB Output is correct
25 Correct 59 ms 50260 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 604 KB Output is correct
28 Correct 2 ms 2140 KB Output is correct
29 Correct 19 ms 17028 KB Output is correct
30 Correct 38 ms 33892 KB Output is correct
31 Correct 62 ms 50636 KB Output is correct
32 Correct 62 ms 50568 KB Output is correct
33 Correct 63 ms 50556 KB Output is correct
34 Correct 62 ms 50512 KB Output is correct
35 Correct 62 ms 50524 KB Output is correct
36 Correct 63 ms 50512 KB Output is correct
37 Correct 61 ms 50604 KB Output is correct
38 Correct 62 ms 50516 KB Output is correct
39 Correct 62 ms 50332 KB Output is correct
40 Correct 61 ms 50516 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 2140 KB Output is correct
46 Correct 4 ms 2284 KB Output is correct
47 Correct 14 ms 8928 KB Output is correct
48 Correct 17 ms 8792 KB Output is correct
49 Correct 31 ms 17416 KB Output is correct
50 Correct 59 ms 34228 KB Output is correct
51 Correct 89 ms 50924 KB Output is correct
52 Correct 88 ms 51024 KB Output is correct
53 Correct 90 ms 50772 KB Output is correct
54 Correct 89 ms 51024 KB Output is correct
55 Correct 89 ms 50924 KB Output is correct
56 Correct 101 ms 51024 KB Output is correct
57 Correct 92 ms 50924 KB Output is correct
58 Correct 96 ms 50768 KB Output is correct
59 Correct 100 ms 50772 KB Output is correct
60 Correct 93 ms 50780 KB Output is correct
61 Correct 102 ms 51168 KB Output is correct
62 Correct 95 ms 51024 KB Output is correct
63 Correct 97 ms 50772 KB Output is correct
64 Correct 93 ms 50780 KB Output is correct
65 Correct 90 ms 50772 KB Output is correct
66 Correct 91 ms 51008 KB Output is correct
67 Correct 96 ms 50984 KB Output is correct
68 Correct 95 ms 50852 KB Output is correct
69 Correct 94 ms 50984 KB Output is correct
70 Correct 94 ms 50988 KB Output is correct
71 Correct 20 ms 9048 KB Output is correct
72 Correct 19 ms 9052 KB Output is correct
73 Correct 19 ms 9048 KB Output is correct
74 Correct 19 ms 9052 KB Output is correct
75 Correct 19 ms 9076 KB Output is correct
76 Correct 40 ms 17440 KB Output is correct
77 Correct 41 ms 17496 KB Output is correct
78 Correct 43 ms 17500 KB Output is correct
79 Correct 44 ms 17684 KB Output is correct
80 Correct 40 ms 17496 KB Output is correct
81 Correct 90 ms 34640 KB Output is correct
82 Correct 91 ms 34832 KB Output is correct
83 Correct 92 ms 34852 KB Output is correct
84 Correct 96 ms 34644 KB Output is correct
85 Correct 91 ms 34652 KB Output is correct
86 Correct 105 ms 35412 KB Output is correct
87 Correct 107 ms 35412 KB Output is correct
88 Correct 104 ms 35412 KB Output is correct
89 Correct 109 ms 35440 KB Output is correct
90 Correct 105 ms 35412 KB Output is correct
91 Correct 234 ms 56400 KB Output is correct
92 Correct 244 ms 56380 KB Output is correct
93 Correct 238 ms 56376 KB Output is correct
94 Correct 245 ms 56408 KB Output is correct
95 Correct 238 ms 56400 KB Output is correct
96 Correct 301 ms 61696 KB Output is correct
97 Correct 279 ms 61780 KB Output is correct
98 Correct 278 ms 61780 KB Output is correct
99 Correct 272 ms 61676 KB Output is correct
100 Correct 275 ms 61780 KB Output is correct
101 Correct 274 ms 61780 KB Output is correct
102 Correct 287 ms 61776 KB Output is correct
103 Correct 271 ms 61524 KB Output is correct
104 Correct 273 ms 61836 KB Output is correct
105 Correct 271 ms 61520 KB Output is correct
106 Correct 311 ms 64084 KB Output is correct
107 Correct 322 ms 64436 KB Output is correct
108 Correct 317 ms 64336 KB Output is correct
109 Correct 307 ms 64084 KB Output is correct
110 Correct 358 ms 64088 KB Output is correct
111 Correct 295 ms 64084 KB Output is correct
112 Correct 302 ms 64208 KB Output is correct
113 Correct 281 ms 64300 KB Output is correct
114 Correct 286 ms 64276 KB Output is correct
115 Correct 278 ms 64080 KB Output is correct
116 Correct 4823 ms 4040 KB Output is correct
117 Execution timed out 7011 ms 3664 KB Time limit exceeded
118 Halted 0 ms 0 KB -